Last update:
Fri Aug 23 06:43:53 MDT 2019
Brockway McMillan Introduction . . . . . . . . . . . . . . 1--2
J. P. LaSalle Stability and Control . . . . . . . . . 3--15
Lucien W. Neustadt Minimum Effort Control Systems . . . . . 16--31
Richard Bellman Vector Lyapunov Functions . . . . . . . 32--34
Emanuel Parzen Extraction and detection problems and
reproducing kernel Hilbert spaces . . . 35--62
G. P. Szeg\Ho On a new partial differential equation
for the stability analysis of time
invariant control systems . . . . . . . 63--75
A. F. Filippov On certain questions in the theory of
optimal control . . . . . . . . . . . . 76--84
H. Hermes and
G. Haynes On The Nonlinear Control Problem with
Control Appearing Linearly . . . . . . . 85--108
A. V. Balakrishnan An operator theoretic formulation of a
class of control problems and a steepest
descent method of solution . . . . . . . 109--127
Elmer G. Gilbert Controllability and observability in
multivariable control systems . . . . . 128--151
R. E. Kalman Mathematical Description of Linear
Dynamical Systems . . . . . . . . . . . 152--192
John V. Breakwell and
Jason L. Speyer and
Arthur E. Bryson Optimization and Control of Nonlinear
Systems Using the Second Variation . . . 193--223
F. M. Kirillova On the correctness of the formulation of
an optimal control problem . . . . . . . 224--239
E. B. Lee A Sufficient Condition in the Theory of
Optimal Control . . . . . . . . . . . . 241--245
R. A. Gambill Generalized curves and the existence of
optimal controls . . . . . . . . . . . . 246--260
T. F. Bridgland, Jr. On the Existence of Optimal Feedback
Controls . . . . . . . . . . . . . . . . 261--274
M. N. O\uguztörelí Relay Type Control Systems with
Retardation and Switching Delay . . . . 275--289
M. N. O\uguztörelí A Time Optimal Control Problem for
Systems Described by Differential
Difference Equations . . . . . . . . . . 290--310
O. L. Mangasarian Stability Criteria for Nonlinear
Ordinary Differential Equations . . . . 311--318
Yu-Chi Ho and
Piero B. Brentani On Computing Optimal Control with
Inequality Constraints . . . . . . . . . 319--348
Boris Garfinkel A Solution of the Goddard Problem . . . 349--368
G. P. Szeg\Ho and
G. R. Geiss A Remark on ``A New Partial Differential
Equation for the Stability Analysis of
Time Invariant Control Systems'' . . . . 369--376
C. W. Merriam III An Algorithm for the Iterative Solution
of a Class of Two-Point Boundary Value
Problems . . . . . . . . . . . . . . . . 1--10
Richard Bellman and
Richard Bucy Asymptotic Control Theory . . . . . . . 11--18
Gerald L. Smith Multivariable Linear Filter Theory
Applied to Space Vehicle Guidance . . . 19--32
Lucien W. Neustadt Optimization, a Moment Problem, and
Nonlinear Programming . . . . . . . . . 33--53
H. O. Fattorini Time-Optimal Control of Solutions of
Operational Differential Equations . . . 54--59
C. A. Harvey Modes of Finite Response Time Control 60--65
G. M. Ewing and
W. R. Haseltine Optimal Programs for an Ascending
Missile . . . . . . . . . . . . . . . . 66--88
M. Namík Oguztöreli Optimal Pursuit Strategy Processes with
Retarded Control Systems . . . . . . . . 89--105
Harold J. Kushner On the Differential Equations Satisfied
by Conditional Probability Densities of
Markov Processes, with Applications . . 106--119
Stuart E. Dreyfus Some Types of Optimal Control of
Stochastic Systems . . . . . . . . . . . 120--134
Boris Garfinkel Errata: A Solution of the Goddard
Problem . . . . . . . . . . . . . . . . 135--135
T. F. Bridgland, Jr. On the Existence of Optimal Feedback
Controls. II. . . . . . . . . . . . . . 137--150
L. M. Sonneborn and
F. S. Van Vleck The Bang--Bang Principle for Linear
Control Systems . . . . . . . . . . . . 151--159
Allan M. Krall Stability Criteria for Feedback Systems
with a Time Lag . . . . . . . . . . . . 160--170
H. H. Rosenbrock Some Conditions for the Stability of
Nonlinear Time-Dependent Differential
Equations . . . . . . . . . . . . . . . 171--180
Nam P. Bhatia On Exponential Stability of Linear
Differential Systems . . . . . . . . . . 181--191
I. W. Sandberg On the Solutions of Systems of Second
Order Differential Equations with
Variable Coefficients . . . . . . . . . 192--198
Hubert Halkin A Generalization of LaSalle's
``Bang--Bang'' Principle . . . . . . . . 199--202
Donald R. Snow Singular optimal controls for a class of
minimum effort problems . . . . . . . . 203--219
Albert Chang An Optimal Regulator Problem . . . . . . 220--233
Henry J. Kelley A Transformation Approach to Singular
Subarcs in Optimal Trajectory and
Control Problems . . . . . . . . . . . . 234--240
H. Hermes Controllability and the Singular Problem 241--260
T. G. Babunashvili The Synthesis of Linear Optimal Systems 261--265
W. J. Culver An Analytic Theory of Modeling for a
Class of Minimal-Energy Control Systems
(Disturbance-Free Case) . . . . . . . . 267--294
J. V. Breakwell and
F. Tung Minimum Effort Control Of Several
Terminal Components . . . . . . . . . . 295--316
Kiyohisa Okamura Some Mathematical Theory of the Penalty
Method for Solving Optimum Control
Problems . . . . . . . . . . . . . . . . 317--331
B. W. Jordan and
E. Polak Optimal Control of Aperiodic
Discrete-Time Systems . . . . . . . . . 332--346
W. M. Wonham Some Applications of Stochastic
Differential Equations to Optimal
Nonlinear Filtering . . . . . . . . . . 347--369
Allan M. Krall The Asymptotes of the Time Lag
Root-Locus . . . . . . . . . . . . . . . 370--372
W. W. Schmaedeke and
D. L. Russell Time Optimal Control with Amplitude and
Rate Limited Controls . . . . . . . . . 373--395
James C. I. Dooge Analysis of Linear Systems by Means of
Laguerre Functions . . . . . . . . . . . 396--408
D. L. Russell Penalty Functions and Bounded Phase
Coordinate Control . . . . . . . . . . . 409--422
Joseph G. Gurley Optimal-Thrust Trajectories in an
Arbitrary Gravitational Field . . . . . 423--432
D. D. Sworder Minimax Control of Discrete Time
Stochastic Systems . . . . . . . . . . . 433--449
Solomon Lefschetz Liapunov Stability and Controls . . . . 1--6
Lamberto Cesari An Existence Theorem in Problems of
Optimal Control . . . . . . . . . . . . 7--22
Magnus R. Hestenes On Variational Theory and Optimal
Control Theory . . . . . . . . . . . . . 23--48
L. S. Pontryagin On Some Differential Games . . . . . . . 49--52
G. Leitmann Some Geometrical Aspects of Optimal
Processes . . . . . . . . . . . . . . . 53--65
E. F. Mishchenko On a Certain Problem for Parabolic
Differential Equations Connected with
Optimal Pursuit . . . . . . . . . . . . 66--70
J. V. Breakwell A Doubly Singular Problem in Optimal
Interplanetary Guidance . . . . . . . . 71--77
Lawrence Markus Controllability of Nonlinear Processes 78--90
J. Warga Minimax Problems with Unilateral Curves
in the Calculus of Variations . . . . . 91--105
R. V. Gamkrelidze On some extremal problems in the theory
of differential equations with
applications to the theory of optimal
control . . . . . . . . . . . . . . . . 106--128
Angelo Miele Extremal Problems in Aerodynamics . . . 129--141
A. A. Goldstein Convex Programming and Optimal Control 142--146
A. A. Goldstein On Steepest Descent . . . . . . . . . . 147--151
A. V. Balakrishnan Optimal Control Problems in Banach
Spaces . . . . . . . . . . . . . . . . . 152--180
T. Guinn The Problem of Bounded Space Coordinates
as a Problem of Hestenes . . . . . . . . 181--190
Raymond W. Rishel An Extended Pontryagin Principle for
Control Systems whose Control Laws
Contain Measures . . . . . . . . . . . . 191--205
Michael A. Arbib A Common Framework for Automata Theory
and Control Theory . . . . . . . . . . . 206--222
T. A. Burton The Generalized Lienard Equation . . . . 223--230
W. W. Schmaedeke Optimal Control Theory for Nonlinear
Vector Differential Equations Containing
Measures . . . . . . . . . . . . . . . . 231--280
O. L. Mangasarian Pseudo-Convex Functions . . . . . . . . 281--290
Robert McGill Optimum Control, Inequality State
Constraints, and the Generalized
Newton--Raphson Algorithm . . . . . . . 291--298
E. K. Blum Minimization of Functionals with
Equality Constraints . . . . . . . . . . 299--316
Lucien W. Neustadt A General Theory of Minimum-Fuel Space
Trajectories . . . . . . . . . . . . . . 317--356
Emilio Roxin On Stability in Control Systems . . . . 357--372
K. R. Meyer On the Existence of Lyapunov Function
for the Problem of Lur'e . . . . . . . . 373--383
Arthur Albert and
Robert W. Sittler A Method for Computing Least Squares
Estimators that Keep Up with the Data 384--417
T. Guinn Weakened Hypotheses for the Variational
Problem Considered by Hestenes . . . . . 418--423
J. Warga Variational Problems with Unbounded
Controls . . . . . . . . . . . . . . . . 424--438
Hsin Chu A Remark on Complete Controllability . . 439--442
F. N. Bailey The Application of Lyapunov's Second
Method to Interconnected Systems . . . . 443--462
Harold J. Kushner On the Existence of Optimal Stochastic
Controls . . . . . . . . . . . . . . . . 463--474
Lamberto Cesari Existence theorems for optimal solutions
in Pontryagin and Lagrange problems . . 475--498
Harold J. Kushner Sufficient Conditions for the Optimality
of a Stochastic Control . . . . . . . . 499--508
Richard Bellman Dynamic programming, system
identification, and suboptimization . . 1--5
V. E. Bene\vs Programming and control problems arising
from optimal routing in telephone
networks . . . . . . . . . . . . . . . . 6--18
A. Blaqui\`ere Further investigation into the geometry
of optimal processes . . . . . . . . . . 19--33
M. D. Canon and
James H. Eaton A new algorithm for a class of quadratic
programming problems with application to
control . . . . . . . . . . . . . . . . 34--45
Sheldon S. L. Chang General Theory of Optimal Processes . . 46--55
George B. Dantzig Linear control processes and
mathematical programming . . . . . . . . 56--60
Elmer G. Gilbert An iterative procedure for computing the
minimum of a quadratic form on a convex
set . . . . . . . . . . . . . . . . . . 61--80
A. A. Goldstein Minimizing Functionals on Normed-Linear
Spaces . . . . . . . . . . . . . . . . . 81--89
Hubert Halkin A maximum principle of the Pontryagin
type for systems described by nonlinear
difference equations . . . . . . . . . . 90--111
Yu-Chi Ho and
R. L. Kashyap A class of iterative procedures for
linear inequalities . . . . . . . . . . 112--115
W. Karush and
R. E. Dear An optimal procedure for an $N$-stage
learning process . . . . . . . . . . . . 116--129
H. P. Künzi The Duoplex Method in Nonlinear
Programming . . . . . . . . . . . . . . 130--138
O. L. Mangasarian Sufficient conditions for the optimal
control of nonlinear systems . . . . . . 139--152
J. J. Moreau Quadratic programming in mechanics:
Dynamics of one-sided constraints . . . 153--158
R. Pallu de la Barri\`ere Duality in Dynamic Optimization . . . . 159--163
J. D. Pearson Duality and a Decomposition Technique 164--172
P. Varaiya Decomposition of Large-Scale Systems . . 173--178
Richard Van Slyke and
Roger Wets Programming under uncertainty and
stochastic optimal control . . . . . . . 179--193
G. Zoutendijk Nonlinear programming: a numerical
survey . . . . . . . . . . . . . . . . . 194--210
András Pr\`ekopa On the probability distribution of the
optimum of a random linear program . . . 211--222
J. B. Rosen Iterative solution of nonlinear optimal
control problems . . . . . . . . . . . . 223--244
Rinaldo F. Vachino Steepest descent with inequality
constraints on the control variables . . 245--261
J. M. Holtzman and
H. Halkin Discretional convexity and the maximum
principle for discrete systems . . . . . 263--275
David L. Russell Optimal regulation of linear symmetric
hyperbolic systems with finite
dimensional controls . . . . . . . . . . 276--294
Kumpati S. Narendra and
Charles P. Neuman Stability of a class of differential
equations with a single monotone
nonlinearity . . . . . . . . . . . . . . 295--308
B. S. Goh The second variation for the singular
Bolza problem . . . . . . . . . . . . . 309--325
V. G. Boltyanskii Sufficient conditions for optimality and
the justification of the dynamic
programming method . . . . . . . . . . . 326--361
R. L. Stratonovich A new representation for stochastic
integrals and equations . . . . . . . . 362--371
M. Anvari and
R. F. Datko The existence of optimal controls for a
performance index with a positive
integrand . . . . . . . . . . . . . . . 372--381
Yoshiyuki Sakawa On a solution of an optimization problem
in linear systems with quadratic
performance index . . . . . . . . . . . 382--395
R. S. Bucy New Results in Asymptotic Control Theory 397--402
C. D. Cullum and
E. Polak Equivalence relations for the
classification and solution of optimal
control problems . . . . . . . . . . . . 403--420
Yu-Chi Ho Optimal Terminal Maneuver and Evasion
Strategy . . . . . . . . . . . . . . . . 421--428
Seymour Ginsburg and
Edwin H. Spanier Finite-Turn Pushdown Automata . . . . . 429--453
S. Kullback An information-theoretic derivation of
certain limit relations for a stationary
Markov chain . . . . . . . . . . . . . . 454--459
T. A. Burton Some Liapunov Theorems . . . . . . . . . 460--465
William A. Porter On the Optimal Control of Distributive
Systems . . . . . . . . . . . . . . . . 466--472
Jane Cullum Perturbations of Optimal Control
Problems . . . . . . . . . . . . . . . . 473--487
Jane Cullum A maximum principle for optimal control
problems in which the phase space
constraint set is closed . . . . . . . . 488--504
Lucien W. Neustadt An abstract variational theory with
applications to a broad class of
optimization problems. I. General theory 505--527
M. Canon and
C. Cullum and
E. Polak Constrained minimization problems in
finite-dimensional spaces . . . . . . . 528--547
D. H. Chyung and
E. Bruce Lee Linear Optimal Systems with Time Delays 548--575
B. N. Pshenichniy Linear Optimal Control Problems . . . . 577--593
J. D. Pearson On the Duality between Estimation and
Control . . . . . . . . . . . . . . . . 594--600
A. I. Egorov Optimal processes in distributed
parameter systems and certain problems
in invariance theory . . . . . . . . . . 601--661
George W. Haynes On the optimality of a totally singular
vector control: an extension of the
Green's theorem approach to higher
dimensions . . . . . . . . . . . . . . . 662--677
Ruey-Wen Liu and
R. Jeffrey Leake Exhaustive equivalence classes of
optimal systems with separable controls 678--685
H. O. Fattorini Some Remarks on Complete Controllability 686--694
Nam P. Bhatia Addendum: ``On exponential stability of
linear differential systems'' . . . . . 695--697
P. P. Varaiya and
R. Liu Bounded-input bounded-output stability
of nonlinear time-varying differential
systems . . . . . . . . . . . . . . . . 698--704
J. E. Rubio A fixed-point method for a minimum-norm
control problem . . . . . . . . . . . . 705--715
B. S. Goh Necessary conditions for singular
extremals involving multiple control
variables . . . . . . . . . . . . . . . 716--731
K. Kirchgässner and
K. Ritter On stationary points of nonlinear
maximum-problems in Banach spaces . . . 732--739
R. W. Rishel An example concerning rockets capable of
impulsive thrust . . . . . . . . . . . . 740--744
Leonard D. Berkovitz Necessary conditions for optimal
strategies in a class of differential
games and control problems . . . . . . . 1--24
F. M. Kirillova Applications of functional analysis to
the theory of optimal processes . . . . 25--50
S. Kullback An extension of an information-theoretic
derivation of certain limit relations
for a Markov chain . . . . . . . . . . . 51--53
R. J. Leake and
Ruey-wen Liu Construction of Suboptimal Control
Sequences . . . . . . . . . . . . . . . 54--63
L. M. Silverman and
H. E. Meadows Controllability and observability in
time-variable linear systems . . . . . . 64--73
James S. Meditch Orthogonal projection and discrete
optimal linear smoothing . . . . . . . . 74--89
Lucien W. Neustadt An abstract variational theory with
applications to a broad class of
optimization problems. II. Applications 90--137
Wayne Schmaedeke Mathematical theory of optimal control
for semilinear hyperbolic systems in two
independent variables . . . . . . . . . 138--152
P. P. Varaiya On the Existence of Solutions to a
Differential Game . . . . . . . . . . . 153--162
V. B. Gindes Optimal Control in a Linear System under
Conflict . . . . . . . . . . . . . . . . 163--169
B. D. O. Anderson A System Theory Criterion for Positive
Real Matrices . . . . . . . . . . . . . 171--182
Michael M. Connors Controllability of discrete, linear,
random dynamical systems . . . . . . . . 183--210
A. M. Formal\cprimeski\u\i Construction of the region of
controllability for systems with
bounded-impulse controls . . . . . . . . 211--221
V. B. Gindes A Problem of Optimal Joint Control . . . 222--227
H. Kushner Converse theorems for stochastic
Liapunov functions . . . . . . . . . . . 228--233
Siegfried H. Lehnigk Liapunov's direct method and the number
of zeros with positive real parts of a
polynomial with constant complex
coefficients . . . . . . . . . . . . . . 234--244
G. R. Antelman and
C. B. Russell and
I. R. Savage Surveillance problems: Two-dimensional
with continuous surveillance . . . . . . 245--267
Donald M. Topkis and
Arthur F. Veinott, Jr. On the convergence of some feasible
direction algorithms for nonlinear
programming . . . . . . . . . . . . . . 268--279
V. F. Dem'yanov and
A. M. Rubinov The minimization of a smooth convex
functional on a convex set . . . . . . . 280--294
R. M. Goldwyn and
K. P. Sriram and
M. Graham Time Optimal Control of a Linear
Diffusion Process . . . . . . . . . . . 295--308
A. V. Balakrishnan On the problem of deducing states and
state-relations from input-output
relations for linear time-varying
systems . . . . . . . . . . . . . . . . 309--325
T. F. Bridgland, Jr. On the problem of approximate synthesis
of optimal controls . . . . . . . . . . 326--344
Dong Hak Chyung Optimal Systems with Multiple Cost
Functionals . . . . . . . . . . . . . . 345--351
A. I. Egorov Necessary optimality conditions for
distributed-parameter systems . . . . . 352--408
H. Hermes On the closure and convexity of
attainable sets in finite and infinite
dimensions . . . . . . . . . . . . . . . 409--417
Marc Q. Jacobs Some existence theorems for linear
optimal control problems . . . . . . . . 418--437
E. J. McShane Relaxed Controls and Variational
Problems . . . . . . . . . . . . . . . . 438--485
W. M. Wonham Optimal stationary control of a linear
system with state-dependent noise . . . 486--500
Toshio Fujisawa and
Yutaka Yasuda An iterative procedure for solving the
time-optimal regulator problem . . . . . 501--512
Elmer G. Gilbert A note on the fixed-point method of J.
E. Rubio . . . . . . . . . . . . . . . . 513--514
W. C. Grimmell The existence of piecewise continuous
fuel optimal controls . . . . . . . . . 515--519
H. J. Kushner Optimal discounted stochastic control
for diffusion processes . . . . . . . . 520--531
Togo Nishiura On an Existence Theorem for Optimal
Control . . . . . . . . . . . . . . . . 532--544
A. Paz A finite set of $ n \times n $
stochastic matrices generating all
$n$-dimensional probability vectors
whose coordinates have finite binary
expansion . . . . . . . . . . . . . . . 545--554
William A. Porter On Function Space Pursuit-Evasion Games 555--574
Leonard Weiss On the Controllability of
Delay-Differential Systems . . . . . . . 575--587
Moshe Zakai On the ultimate boundedness of moments
associated with solutions of stochastic
differential equations . . . . . . . . . 588--593
D. O. Norris Lagrangian Saddle Points and Optimal
Control . . . . . . . . . . . . . . . . 594--599
G. P. Akilov and
L. V. Kantorovich and
G. Sh. Rubinshtein Extremal States and Extremal Controls 600--608
A. F. Filippov Classical solutions of differential
equations with multi-valued right-hand
side . . . . . . . . . . . . . . . . . . 609--621
Marc Q. Jacobs Remarks on some recent extensions of
Filippov's implicit functions lemma . . 622--627
J. Warga Functions of Relaxed Controls . . . . . 628--641
J. Warga Restricted Minima of Functions of
Controls . . . . . . . . . . . . . . . . 642--656
R. A. Baker and
C. A. Desoer Asymptotic stability in the large of a
class of single-loop feedback systems 1--8
H. T. Banks Necessary conditions for control
problems with variable time lags . . . . 9--47
Theodore A. Bickart Instability of Periodically Time-Varying
Linear Control Systems . . . . . . . . . 48--57
T. F. Bridgland, Jr. Errata: ``On the problem of approximate
synthesis of optimal controls'' . . . . 58--58
V. F. Dem'yanov The Solution of Some Optimal Control
Problems . . . . . . . . . . . . . . . . 59--72
V. F. Dem'yanov and
A. M. Rubinov Minimization of Functionals in Normed
Spaces . . . . . . . . . . . . . . . . . 73--88
G. Zames and
P. L. Falb Stability conditions for systems with
monotone and slope-restricted
nonlinearities . . . . . . . . . . . . . 89--108
H. O. Fattorini A remark on the ``bang--bang'' principle
for linear control systems in
infinite-dimensional space . . . . . . . 109--113
Bertram Mond and
Morgan Hanson Duality for Control Problems . . . . . . 114--120
L. M. Silverman and
B. D. O. Anderson Controllability, observability and
stability of linear systems . . . . . . 121--130
H. S. Witsenhausen A Counterexample In Stochastic Optimum
Control . . . . . . . . . . . . . . . . 131--147
A. V. Balakrishnan On a New Computing Technique in Optimal
Control . . . . . . . . . . . . . . . . 149--173
Pavol Brunovský On the necessity of a certain convexity
condition for lower closure of control
problems . . . . . . . . . . . . . . . . 174--185
Chi-tsong Chen $ L_p $-stability of linear time-varying
feedback systems . . . . . . . . . . . . 186--193
Wendell H. Fleming Optimal Control of Partially Observable
Diffusions . . . . . . . . . . . . . . . 194--214
A. Halanay Optimal Controls for Systems with Time
Lag . . . . . . . . . . . . . . . . . . 215--234
J. M. Holtzman Analysis of statistical linearization of
nonlinear control systems . . . . . . . 235--243
K. G. Oza and
E. I. Jury System identification and the principle
of random contraction mapping . . . . . 244--257
Patrick D. Krolak Further extensions of Fibonaccian search
to nonlinear programming problems . . . 258--265
Bruce L. Miller Finite state continuous time Markov
decision processes with a finite
planning horizon . . . . . . . . . . . . 266--280
Paul Nelson, Jr. and
Gale Young A class of nonstandard optimal control
problems with application to nuclear
reactor economics . . . . . . . . . . . 281--302
William A. Porter A minimization problem and its
applications to optimal control and
system sensitivity . . . . . . . . . . . 303--311
W. M. Wonham On the Separation Theorem of Stochastic
Control . . . . . . . . . . . . . . . . 312--326
A. Chang and
J. Rissanen Regulation of Incompletely Identified
Linear Systems . . . . . . . . . . . . . 327--348
H. O. Fattorini Boundary Control Systems . . . . . . . . 349--385
W. R. Haseltine Existence and stability theorems for
exterior ballistics . . . . . . . . . . 386--400
V. Komkov The optimal control of a transverse
vibration of a beam . . . . . . . . . . 401--421
Andre de Korvin Approximation Theorems on Some Classes
of Automata . . . . . . . . . . . . . . 422--436
A. G. Butkovsky and
A. I. Egorov and
K. A. Lurie Optimal control of distributed systems
(a survey of Soviet publications) . . . 437--476
R. E. Rink and
R. R. Mohler Completely Controllable Bilinear Systems 477--486
M. Freedman and
G. Zames Logarithmic variation criteria for the
stability of systems with time-varying
gains . . . . . . . . . . . . . . . . . 487--507
M. D. Canon and
C. D. Cullum A Tight Upper Bound on the Rate of
Convergence of Frank--Wolfe Algorithm 509--516
Lamberto Cesari Existence theorems for optimal controls
of the Mayer type . . . . . . . . . . . 517--552
D. A. Ford and
C. D. Johnson Invariant subspaces and the
controllability and observability of
linear dynamical systems . . . . . . . . 553--558
M. I. Freedman $ L_2 $-stability of time-varying
systems---construction of multipliers
with prescribed phase characteristics 559--578
A. Halanay Differential Games with Delay . . . . . 579--593
H. Hermes Errata: On the closure and convexity of
attainable sets in finite and infinite
dimensions . . . . . . . . . . . . . . . 594--595
H. J. Kushner On the optimal control of a system
governed by a linear parabolic equation
with white noise inputs . . . . . . . . 596--614
B. D. O. Anderson and
J. B. Moore Algebraic structure of generalized
positive real matrices . . . . . . . . . 615--624
Kumpati S. Narendra and
Yo-Sung Cho Stability analysis of nonlinear and
time-varying discrete systems . . . . . 625--646
D. O. Norris Erratum: Lagrangian saddle points and
optimal control . . . . . . . . . . . . 647--647
J. Ponstein Multiplier Functions in Optimal Control 648--658
Leonard Weiss On the structure theory of linear
differential systems . . . . . . . . . . 659--680
W. M. Wonham On a Matrix Riccati Equation of
Stochastic Control . . . . . . . . . . . 681--697
H. T. Banks Variational Problems Involving
Functional Differential Equations . . . 1--17
B. M. Budak and
E. M. Berkovich and
E. N. Solov\cprimeeva Difference Approximations in Optimal
Control Problems . . . . . . . . . . . . 18--31
Jane Cullum Discrete approximations to continuous
optimal control problems . . . . . . . . 32--49
Elmer G. Gilbert The decoupling of multivariable systems
by state feedback . . . . . . . . . . . 50--63
I. V. Girsanov Certain Relations Between the Bellman
and Krotov Functions for Dynamic
Programming Problems . . . . . . . . . . 64--67
Thomas Kailath Application of a resolvent identity to a
linear smoothing problem . . . . . . . . 68--74
D. L. Lukes Optimal Regulation of Nonlinear
Dynamical Systems . . . . . . . . . . . 75--100
D. L. Lukes and
D. L. Russell The Quadratic Criterion for Distributed
Systems . . . . . . . . . . . . . . . . 101--121
Katta G. Murty On the Tours of a Traveling Salesman . . 122--131
David L. Russell Continuity in the strong topology of
operator-valued solutions of nonlinear
differential equations with an
application to optimal control . . . . . 132--140
P. Varaiya and
Jiguan Lin Existence of Saddle Points in
Differential Games . . . . . . . . . . . 141--157
Marc Q. Jacobs On the approximation of integrals of
multivalued functions . . . . . . . . . 158--177
James H. Case Toward a Theory of Many Player
Differential Games . . . . . . . . . . . 179--197
Marco Cirin\`a Boundary Controllability of Nonlinear
Hyperbolic Systems . . . . . . . . . . . 198--212
Fred Glover Integer Programming over a Finite
Additive Group . . . . . . . . . . . . . 213--231
Monique Guignard Generalized Kuhn--Tucker conditions for
mathematical programming problems in a
Banach Space . . . . . . . . . . . . . . 232--241
Muo S. Lee and
C. S. Hsu On the $ \tau $-decomposition method of
stability analysis for retarded
dynamical systems . . . . . . . . . . . 242--259
Kazimierz Malanowski On Optimal Control of the Vibrating
String . . . . . . . . . . . . . . . . . 260--271
E. J. Messerli and
E. Polak On Second Order Necessary Conditions of
Optimality . . . . . . . . . . . . . . . 272--291
Stefan Miric\ua On the Admissible Synthesis in Optimal
Control Theory and Differential Games 292--316
James G. Root Optimum Control of Non-Gaussian Linear
Stochastic Systems with Inaccessible
State Variables . . . . . . . . . . . . 317--323
V. R. Vinokurov Optimal control of processes described
by integral equations. I . . . . . . . . 324--336
V. R. Vinokurov Optimal control of processes described
by integral equations. II . . . . . . . 337--345
V. R. Vinokurov Optimal control of processes described
by integral equations. III . . . . . . . 346--355
M. Y. Wu and
C. A. Desoer $ L^p $ stability $ (1 \leq p \leq
\infty) $ of nonlinear time-varying
feedback systems . . . . . . . . . . . . 356--364
W. M. Wonham Erratum: ``On a matrix Riccati equation
of stochastic control'' . . . . . . . . 365--365
S. S. Chitgopekar Continuous Time Markovian Sequential
Control Processes . . . . . . . . . . . 367--389
Moshe Zakai A Lyapunov Criterion for the Existence
of Stationary Probability Distributions
for Systems Perturbed by Noise . . . . . 390--397
B. D. O. Anderson and
J. B. Moore New Results in Linear System Stability 398--414
Robert O. Barr An efficient computational procedure for
a generalized quadratic programming
problem . . . . . . . . . . . . . . . . 415--429
David W. Walkup and
Roger J.-B. B. Wets Some Practical Regularity Conditions for
Nonlinear Programs . . . . . . . . . . . 430--436
W. A. Wolovich and
P. L. Falb On the Structure of Multivariable
Systems . . . . . . . . . . . . . . . . 437--451
P. L. Falb and
M. I. Freedman A Generalized Transform Theory for
Causal Operators . . . . . . . . . . . . 452--471
M. I. Freedman and
P. L. Falb and
J. Anton A Note on Causality and Analyticity . . 472--478
M. I. Freedman and
P. L. Falb and
G. Zames A Hilbert space stability theory over
locally compact Abelian groups . . . . . 479--495
J. R. Krasnakevich and
R. A. Haddad Generalized Prediction-Correction
Estimation . . . . . . . . . . . . . . . 496--511
Eliezer Kreindler On Sensitivity of Closed Loop Nonlinear
Optimal Control Systems . . . . . . . . 512--520
M. C. Delfour and
S. K. Mitter Reachability of perturbed systems and $
{\rm min \, sup} $ problems . . . . . . 521--533
James E. Falk Lagrange Multipliers and Nonconvex
Programs . . . . . . . . . . . . . . . . 534--545
L. I. Gal'Chuk Optimal Control of Systems Described by
Parabolic Equations . . . . . . . . . . 546--558
M. D. Grigoriadis and
K. Ritter A parametric method for semidefinite
quadratic programs . . . . . . . . . . . 559--577
D. H. Jacobson A new necessary condition of optimality
for singular control problems . . . . . 578--595
Frank P. Romeo, Jr. Sequentially Best Filter . . . . . . . . 596--608
D. W. Ross and
I. Flügge-Lotz An optimal control problem for systems
with differential-difference equation
dynamics . . . . . . . . . . . . . . . . 609--623
C. Bradley Russell Surveillance Problems. Poisson Process
Under Costly Surveillance . . . . . . . 624--636
I. G. Sarma and
R. K. Ragade and
U. R. Prasad Necessary conditions for optimal
strategies in a class of noncooperative
$N$-person differential games . . . . . 637--644
Jan C. Willems Stability, Instability, Invertibility
and Causality . . . . . . . . . . . . . 645--671
W. M. Wonham and
A. S. Morse Decoupling and Pole Assignment in Linear
Multivariable Systems: a Geometric
Approach . . . . . . . . . . . . . . . . 1--18
Michael Heymann and
John A. Thorpe Transfer Equivalence of Linear Dynamical
Systems . . . . . . . . . . . . . . . . 19--40
Robert Meyer The Validity of a Family of Optimization
Methods . . . . . . . . . . . . . . . . 41--54
H. S. Witsenhausen On Performance Bounds for Uncertain
Systems . . . . . . . . . . . . . . . . 55--89
Kunio Tsujioka Remarks on Controllability of Second
Order Evolution Equations in Hilbert
Spaces . . . . . . . . . . . . . . . . . 90--99
Yoshiyuki Sakawa Solution of Linear Pursuit-Evasion Games 100--112 (or 101--112??)
V. A. Cheprasov On Controllability of Nonlinear Systems 113--123
I-Ngo Chen and
C. L. Sheng The decision problems of definite
stochastic automata . . . . . . . . . . 124--134
S. De Julio Numerical Solution of Dynamical
Optimization Problems . . . . . . . . . 135--147
Jean Pierre Aubin Characterization of the Sets of
Constraints for Which the Necessary
Conditions for Optimization Problems
Hold . . . . . . . . . . . . . . . . . . 148--162
H. Tokumaru and
N. Adachi and
K. Goto Davidon's Method for Minimization
Problems in Hilbert Space with an
Application to Control Problems . . . . 163--178
V. E. Bene\vs Existence of optimal strategies based on
specified information, for a class of
stochastic decision problems . . . . . . 179--188
J. S. Shafran and
J. Y. S. Luh Recoverability for Processes with
Bounded Control Amplitudes and Rates . . 189--201
Gerald S. Lellouche A Frequency Criterion for Oscillatory
Solutions . . . . . . . . . . . . . . . 202--206
D. Chazan and
W. L. Miranker Nongradient and Parallel Algorithm for
Unconstrained Minimization . . . . . . . 207--217
Arnold P. Jones and
Garth P. McCormick A Generalization of the Method of
Balakrishnan. Inequality Constraints and
Initial Conditions . . . . . . . . . . . 218--225
Richard Datko Measurability Properties of Set-Valued
Mappings in a Banach Space . . . . . . . 226--238
M. Aoki and
P. C. Yue On Certain Convergence Questions in
System Identification . . . . . . . . . 239--256
Harold J. Kushner and
Daniel I. Barnea On the Control of a Linear
Functional-Differential Equation with
Quadratic Cost . . . . . . . . . . . . . 257--272
Vadim Komkov Optimal Control of Vibrating Thin Plates 273--304
Jean Céa and
Kazimierz Malanowski An example of a max-min problem in
partial differential equations . . . . . 305--316
A. S. Morse and
W. M. Wonham Decoupling and Pole Assignment by
Dynamic Compensation . . . . . . . . . . 317--337
Ye. Ya. Ro\u\itenberg Observability of Nonlinear Systems . . . 338--345
Harold J. Kushner Filtering for Linear Distributed
Parameter Systems . . . . . . . . . . . 346--359
J. Warga Control Problems with Functional
Restrictions . . . . . . . . . . . . . . 360--371
J. Warga Unilateral and Minimax Control Problems
Defined by Integral Equations . . . . . 372--382
Gunter H. Meyer On Fixed Time Control Problems in a
Banach Space . . . . . . . . . . . . . . 383--395
Thomas Pecsvaradi and
Kumpati S. Narendra New Iterative Procedure for the
Minimization of a Quadratic Form on a
Convex Set . . . . . . . . . . . . . . . 396--402
D. H. Jacobson Sufficient Conditions for Nonnegativity
of the Second Variation in Singular and
Nonsingular Control Problems . . . . . . 403--423
Velimir Jurdjevic Abstract Control Systems.
Controllability and Observability . . . 424--439
V. R. Vinokurov Erratum: ``Optimal control of processes
described by integral equations. I'' . . 440--440
Pravin Varaiya $N$-person nonzero sum differential
games with linear dynamics . . . . . . . 441--449
G. W. Haynes and
H. Hermes Nonlinear Controllability via Lie Theory 450--460
H. T. Banks and
Marc Q. Jacobs The optimization of trajectories of
linear functional differential equations 461--488
E. J. Davison and
E. G. Kunze Some sufficient conditions for the
global and local controllability of
nonlinear time-varying systems . . . . . 489--497
J. E. Funk and
E. G. Gilbert Some Sufficient Conditions for
Optimality in Control Problems with
State Space Constraints . . . . . . . . 498--504
Sanjo Zlobec Asymptotic Kuhn--Tucker conditions for
mathematical programming problems in a
Banach space . . . . . . . . . . . . . . 505--512
James E. Potter and
James C. Deckert The minimal bound on the estimation
error covariance matrix in the presence
of correlated driving noise . . . . . . 513--526
C. Vìrsan Necessary Conditions for Optimization
Problems with Operatorial Constraints 527--558
Raymond Rishel Necessary and sufficient dynamic
programming conditions for continuous
time stochastic optimal control . . . . 559--571
L. W. Neustadt and
J. Warga Comments on the paper ``Optimal control
of processes described by integral
equations. I'' by V. R. Vinokurov . . . 572--572
Claude Lobry Contrôlabilité des syst\`emes non
linéaires. (French) [Controllability of
nonlinear systems] . . . . . . . . . . . 573--605
S. K. Mitter and
R. Foulkes Controllability and Pole Assignment for
Discrete Time Linear Systems Defined
over Arbitrary Fields . . . . . . . . . 1--7
A. S. C. Sinha and
R. G. Hoft Stability of a Nonautonomous
Differential Equation of Fourth Order 8--14
W. E. Bosarge, Jr. and
O. G. Johnson Error Bounds of High Order Accuracy for
the State Regulator Problem via
Piecewise Polynomial Approximations . . 15--28
David L. Russell Boundary Value Control of the
Higher-Dimensional Wave Equation . . . . 29--42
P. C. Das and
R. R. Sharma On optimal controls for measure
delay-differential equations . . . . . . 43--61
Earl R. Barnes Necessary and Sufficient Optimality
Conditions for a Class of Distributed
Parameter Control Systems . . . . . . . 62--82
James W. Daniel Convergence of a Discretization for
Constrained Spline Function Problems . . 83--96 (or 83--86??)
Nelson Onuchic Invariance properties in the theory of
ordinary differential equations with
applications to stability problems . . . 97--104
Jan C. Willems The Generation of Lyapunov Functions for
Input-Output Stable Systems . . . . . . 105--134
Donald J. Soults and
H. T. David The Distribution of $ 2 \times n $ Game
Values and Program Optima . . . . . . . 135--141
A. Halanay Erratum: ``Optimal controls for systems
with time lag'' . . . . . . . . . . . . 142--142
A. S. Morse Output Controllability and System
Synthesis . . . . . . . . . . . . . . . 143--148
H. S. Witsenhausen On Information Structures, Feedback and
Causality . . . . . . . . . . . . . . . 149--160
J. P. McDanell and
W. F. Powers Necessary Conditions Joining Optimal
Singular and Nonsingular Subarcs . . . . 161--173
O. L. Mangasarian and
L. L. Schumaker Discrete Splines via Mathematical
Programming . . . . . . . . . . . . . . 174--183
U. G. Haussmann Optimal Stationary Control with State
Control Dependent Noise . . . . . . . . 184--198
L. M. Silverman and
H. J. Payne Input-Output Structure of Linear Systems
with Application to the Decoupling
Problem . . . . . . . . . . . . . . . . 199--233
D. L. Lukes Equilibrium Feedback Control in Linear
Games with Quadratic Costs . . . . . . . 234--252
Stephen H. Saperstone and
James A. Yorke Controllability of linear oscillatory
systems using positive controls . . . . 253--262
Hitoshi Sasai and
Etsujro Shimemura On the convergence of approximating
solutions for linear distributed
parameter optimal control problems . . . 263--273
W. W. Willman Some effects of measurement uncertainty
in linear multistage games . . . . . . . 274--286
Lamberto Cesari Closure, lower closure, and
semicontinuity theorems in optimal
control . . . . . . . . . . . . . . . . 287--315
M. I. Freedman and
R. Glassey Tracking Via Feedback for Systems with
Irrational Transfer Function . . . . . . 317--338
Otomar Hájek Geometric Theory of Time-Optimal Control 339--350
James A. Yorke Another Proof of the Liapunov Convexity
Theorem . . . . . . . . . . . . . . . . 351--353
Tyrone Duncan and
Pravin Varaiya On the Solutions of a Stochastic Control
System . . . . . . . . . . . . . . . . . 354--371
R. G. Agniel and
E. I. Jury Almost Sure Boundedness of Randomly
Sampled Systems . . . . . . . . . . . . 372--384
Colin W. Cryer The Solution of a Quadratic Programming
Problem using Systematic Overrelaxation 385--392
Jerald P. Dauer Perturbations of Linear Control Systems 393--400
David L. Russell Boundary Value Control Theory of the
Higher-Dimensional Wave Equation,Part II 401--419
J. Rissanen Recursive Identification of Linear
Systems . . . . . . . . . . . . . . . . 420--430
Y. V. Venkatesh Global Variation Criteria for Stability
of Linear Time Varying Systems . . . . . 431--440
I. G. Sarma and
U. R. Prasad A Note on the Necessary Conditions for
Optimal Strategies in a Class of
Noncooperative $N$-Person Differential
Games . . . . . . . . . . . . . . . . . 441--445
V. E. Benes Existence of Optimal Stochastic Control
Laws . . . . . . . . . . . . . . . . . . 446--472
Wendell H. Fleming Stochastic Control for Small Noise
Intensities . . . . . . . . . . . . . . 473--517
Raymond W. Rishel Weak Solutions of a Partial Differential
Equation of Dynamic Programming . . . . 519--528
B. Curtis Eaves and
W. I. Zangwill Generalized Cutting Plane Algorithms . . 529--542
Inge Troch A Note on Complete Controllability . . . 543--546
Gerard G. L. Meyer and
E. Polak Abstract Models for the Synthesis of
Optimization Algorithms . . . . . . . . 547--560
D. O. Norris A Generalized Lagrange Multiplier Rule
for Equality Constraints in Normed
Linear Spaces . . . . . . . . . . . . . 561--567
A. R. Bergen and
R. L. Franks Justification of the Describing Function
Method . . . . . . . . . . . . . . . . . 568--589
L. Cesari and
J. R. La Palm and
D. A. Sanchez An Existence Theorem for Lagrange
Problems with Unbounded Controls and a
Slender Set of Exceptional Points . . . 590--605
Robert A. Abrams and
Adi Ben-Israel Nonlinear Programming in Complex Space:
Necessary Conditions . . . . . . . . . . 606--620
E. Wong Representation of Martingales, Quadratic
Variation and Applications . . . . . . . 621--633
Jon H. Davis Stability Conditions Derived from
Spectral Theory: Discrete Systems with
Periodic Feedback . . . . . . . . . . . 1--13
Sheng-Chao Huang Optimal Control Problems with a System
of Integral Equations and Restricted
Phase Coordinates . . . . . . . . . . . 14--36
G. T. Rublein On Pursuit with Curvature Constraints 37--39
Yu. G. Dutkevich and
L. A. Petrosyan Games with a ``Life-Line''. The Case of
$l$-Capture . . . . . . . . . . . . . . 40--47
R. A. Skoog On Dynamical Systems Realizing
Stationary Weighting Patterns and
Time-Varying Feedback Systems . . . . . 48--55
R. F. Baum and
L. Cesari On a Recent Proof of Pontryagin's
Necessary Conditions . . . . . . . . . . 56--75
S. P. Gordon On Converses to the Stability Theorems
for Difference Equations . . . . . . . . 76--81
N. Minamide and
K. Nakamura Linear Bounded Phase Coordinate Control
Problems under Certain Regularity and
Normality Conditions . . . . . . . . . . 82--92
G. P. McCormick and
R. A. Tapia The Gradient Projection Method under
Mild Differentiability Conditions . . . 93--98
Marvin I. Freedman Phase Function Norm Estimates for
Stability of Systems with Monotone
Nonlinearities . . . . . . . . . . . . . 99--111
D. L. Lukes Global Controllability of Nonlinear
Systems . . . . . . . . . . . . . . . . 112--126
R. Gabasov and
F. M. Kirillova High Order Necessary Conditions for
Optimality . . . . . . . . . . . . . . . 127--168
Robert Faure Sur L'Existence et le Comportement de
Cycles de Certaines Équations
Différentielles Non Linéaires (Solutions
Périodiques de Syst\`emes Autonomes) . . 169--193
L. A. Petrosyan Topological Games and Their Applications
to Pursuit Problems. I . . . . . . . . . 194--202
Mathukumalli Vidyasagar Input-Output Stability of a Broad Class
of Linear Time-Invariant Multivariable
Systems . . . . . . . . . . . . . . . . 203--209
Prasadarao Kakumanu Nondiscounted Continuous Time Markovian
Decision Process with Countable State
Space . . . . . . . . . . . . . . . . . 210--220
Nam P. Bhatia Preface . . . . . . . . . . . . . . . . vii--vii
Henry Hermes The Geometry of Time-Optimal Control . . 221--229
Leonard Weiss Controllability, Realization and
Stability of Discrete-Time Systems . . . 230--251
V. M. Popov Invariant Description of Linear,
Time-Invariant Controllable Systems . . 252--264
R. W. Brockett System Theory on Group Manifolds and
Coset Spaces . . . . . . . . . . . . . . 265--284
A. V. Balakrishnan Stochastic Control: a Function Space
Approach . . . . . . . . . . . . . . . . 285--297
M. C. Delfour and
S. K. Mitter Controllability, Observability and
Optimal Feedback Control of Affine
Hereditary Differential Systems . . . . 298--328
M. C. Delfour and
S. K. Mitter Controllability and Observability for
Infinite-Dimensional Systems . . . . . . 329--333
James A. Yorke The Maximum Principle and
Controllability of Nonlinear Equations 334--338
Robert F. Brammer Controllability in Linear Autonomous
Systems with Positive Controllers . . . 339--353
Velimir Jurdjevic Certain Controllability Properties of
Analytic Control Systems . . . . . . . . 354--360
Kwang Yun Lee and
Shui-Nee Chow and
Robert O. Barr On the Control of Discrete-Time
Distributed Parameter Systems . . . . . 361--376
Earl R. Barnes A Procedure for Solving Certain Dual
Optimal Control Problems . . . . . . . . 377--392
A. N. V. Rao Comparison of Differential Games of
Fixed Duration . . . . . . . . . . . . . 393--397
R. E. O'Malley, Jr. The Singularly Perturbed Linear State
Regulator Problem . . . . . . . . . . . 399--413
Bezalel Peleg Efficiency Prices for Optimal
Consumption Plans. IV . . . . . . . . . 414--433
Earl R. Barnes A Geometrically Convergent Algorithm for
Solving Optimal Control Problems . . . . 434--443
Andrzej P. Wierzbicki Maximum Principle for Semiconvex
Performance Functionals . . . . . . . . 444--459
Michael Heymann The Prime Structure of Linear Dynamical
Systems . . . . . . . . . . . . . . . . 460--469
Hector J. Sussmann The ``Bang--Bang'' Problem for Certain
Control Systems in $ {\rm GL}(n, R) $ 470--476
Thomas Kailath A Note on Least Squares Estimation by
the Innovations Method . . . . . . . . . 477--486
A. B. Schwarzkopf Optimal Controls for Problems with a
Restricted State Space . . . . . . . . . 487--511
W. A. Wolovich The Use of State Feedback for Exact
Model Matching . . . . . . . . . . . . . 512--523
R. Klessig and
E. Polak Efficient Implementations of the
Polak--Ribi\`ere Conjugate Gradient
Algorithm . . . . . . . . . . . . . . . 524--549
H. J. Kushner Necessary Conditions for Continuous
Parameter Stochastic Optimization
Problems . . . . . . . . . . . . . . . . 550--565
D. L. Lukes Erratum: Equilibrium Feedback Control in
Linear Games with Quadratic Costs . . . 566--566
H. T. Banks and
G. A. Kent Control of Functional Differential
Equations of Retarded and Neutral Type
to Target Sets in Function Space . . . . 567--593
Tullio Zolezzi Necessary Conditions for Optimal
Controls of Elliptic or Parabolic
Problems . . . . . . . . . . . . . . . . 594--607
Jon H. Davis Fredholm Operators, Encirclements, and
Stability Criteria . . . . . . . . . . . 608--622
Richard F. Baum Existence Theorems for Multidimensional
Control Systems with Lower-Dimensional
Controls . . . . . . . . . . . . . . . . 623--638
John J. H. Miller On the Stability of Differential
Equations . . . . . . . . . . . . . . . 639--648
Jane Cullum Finite-Dimensional Approximations of
State-Constrained Continuous Optimal
Control Problems . . . . . . . . . . . . 649--670
S. P. Gordon A Stability Theory for Perturbed
Difference Equations . . . . . . . . . . 671--678
T. K. C. Peng Invariance and Stability for Bounded
Uncertain Systems . . . . . . . . . . . 679--690
R. Tyrrell Rockafellar State Constraints in Convex Control
Problems of Bolza . . . . . . . . . . . 691--715
Masao Ikeda and
Hajime Maeda and
Shinzo Kodama Stabilization of Linear Systems . . . . 716--729
Hitoshi Sasai Note on the Penalty Method for
Distributed Parameter Optimal Control
Problems . . . . . . . . . . . . . . . . 730--736
C. A. Desoer and
F. M. Callier Convolution Feedback Systems . . . . . . 737--746
Ronald J. Stern Asymptotic Behavior of the Value of
Differential Games . . . . . . . . . . . 747--753
A. V. Balakrishnan Martingale Approach to Linear Recursive
State Estimation . . . . . . . . . . . . 754--766
Antony Jameson and
Eliezer Kreindler Inverse Problem of Linear Optimal
Control . . . . . . . . . . . . . . . . 1--19 (or 1--9??)
Ronald J. Stern Open Loop Approximation of Differential
Games . . . . . . . . . . . . . . . . . 20--31
Richard Datko Unconstrained Control Problems with
Quadratic Cost . . . . . . . . . . . . . 32--52
James W. Daniel The Ritz--Galerkin method for abstract
optimal control problems . . . . . . . . 53--63
Grace Wahba On the minimization of a quadratic
functional subject to a continuous
family of linear inequality constraints 64--79
R. Klessig and
E. Polak An adaptive precision gradient method
for optimal control . . . . . . . . . . 80--93
S. Ramarajan and
M. A. L. Thathachar Construction of stability multipliers
with prescribed phase characteristics:
an improved value for $ \sigma $ . . . . 94--99
R. J. Elliott and
N. J. Kalton and
L. Markus Saddle Points for Linear Differential
Games . . . . . . . . . . . . . . . . . 100--112
Gerard G. L. Meyer A Drivable Method of Feasible Directions 113--118
Timothy L. Johnson Minimum-energy terminal state control of
first order linear hyperbolic systems in
one spatial variable using the method of
characteristics . . . . . . . . . . . . 119--129
M. B. Suryanarayana Necessary conditions for optimization
problems with hyperbolic partial
differential equations . . . . . . . . . 130--147
P. D'Alessandro and
A. Isidori and
A. Ruberti A new approach to the theory of
canonical decomposition of linear
dynamical systems . . . . . . . . . . . 148--158
Pierre Loridan Sur un Procédé d'Optimisation Utilisant
Simultanément les Méthodes de Pénalisation
et des Variations Locales. I . . . . . . 159--172
Pierre Loridan Sur un procédé d'optimization utilisant
simultanement les méthodes de pénalisation
et des variations locales. II. (French)
[On an optimization procedure using
simultaneously penalty and local
variation methods] . . . . . . . . . . . 173--184
V. R. Vinokurov Further comments on the paper: ``Optimal
control of processes described by
integral equations. I''. (Izv. Vys\vs.
U\vcebn. Zaved. Matematika \bf 62, no. 7
(1976), 21--33) by V. R. Vinokurov . . . 185--185
D. L. Lukes Erratum: ``Global controllability of
nonlinear systems'' (SIAM J. Control \bf
10 (1972), 112--126) . . . . . . . . . . 186--186
Lawrence D. Stone Necessary and sufficient conditions for
optimal control of semi-Markov jump
processes . . . . . . . . . . . . . . . 187--201
Hajime Maeda Stability considerations for a Volterra
integral equation with discontinuous
nonlinearity . . . . . . . . . . . . . . 202--214
A. S. Morse and
L. M. Silverman Structure of Index-Invariant Systems . . 215--225
M. H. A. Davis and
P. Varaiya Dynamic programming conditions for
partially observable stochastic systems 226--261
B. P. Molinari The stabilizing solution of the
algebraic Riccati equation . . . . . . . 262--271
B. P. Molinari Equivalence relations for the algebraic
Riccati equation . . . . . . . . . . . . 272--285
Emile K. Haddad A criterion for the bounded-input,
bounded-output stability of time-varying
nonlinear systems . . . . . . . . . . . 286--305
Václav Dole\vzal Equations Describing Multidimensional
Causal Systems . . . . . . . . . . . . . 306--322
Anders Lindquist On Feedback Control of Linear Stochastic
Systems . . . . . . . . . . . . . . . . 323--343
Earl R. Barnes Solution of a Dual Problem in Optimal
Control Theory . . . . . . . . . . . . . 344--357
Thomas G. Hack Extensions of the concept of regular
synthesis as a sufficient condition for
optimality . . . . . . . . . . . . . . . 358--374
A. A. Goldstein and
R. A. Tapia Kantorovich Estimates for Some Convex
Programs . . . . . . . . . . . . . . . . 375--377
Stephen Howe New conditions for exactness of a simple
penalty function . . . . . . . . . . . . 378--381
U. G. Haussmann Stability of linear systems with control
dependent noise . . . . . . . . . . . . 382--394
Jerald P. Dauer Errata: ``Perturbations of linear
control systems'' . . . . . . . . . . . 395--395
James O. Flynn Lion and Man: The Boundary Constraint 397--411
M. L. J. Hautus and
G. J. Olsder A uniqueness theorem for linear control
systems with coinciding reachable sets 412--416
Stephen H. Saperstone Global controllability of linear systems
with positive controls . . . . . . . . . 417--423
W. M. Wonham Tracking and regulation in linear
multivariable systems . . . . . . . . . 424--437
Hilbert K. Schultz A Kuhn--Tucker Algorithm . . . . . . . . 438--445
A. S. Morse Structural invariants of linear
multivariable systems . . . . . . . . . 446--465
A. Papoulis A Different Approach to the Analysis of
Tracer Data . . . . . . . . . . . . . . 466--474
David L. Russell Quadratic performance criteria in
boundary control of linear symmetric
hyperbolic systems . . . . . . . . . . . 475--509
R. S. McKnight and
W. E. Bosarge, Jr. The Ritz--Galerkin procedure for
parabolic control problems . . . . . . . 510--524
Stephen M. Robinson and
Robert R. Meyer Lower semicontinuity of multivalued
linearization mappings . . . . . . . . . 525--533
O. Pironneau and
E. Polak A dual method for optimal control
problems with initial and final boundary
constraints . . . . . . . . . . . . . . 534--549
Romano M. DeSantis On state realization and causality
decomposition for nonlinear systems . . 551--562
Stanley R. Pliska Multiperson Controlled Diffusions . . . 563--586
M. H. A. Davis On the existence of optimal policies in
stochastic control . . . . . . . . . . . 587--594
David E. Cowles An existence theorem for optimization
problems involving integral equations 595--606
Gunnar Aronsson Global controllability and bang-bang
steering of certain nonlinear systems 607--619
H. Gardner Moyer Sufficient conditions for a strong
minimum in singular control problems . . 620--636
Dimitri P. Bertsekas and
Sanjoy K. Mitter A descent numerical method for
optimization problems with
nondifferentiable cost functionals . . . 637--652
M. L. J. Hautus Necessary conditions for multiple
constraint optimization problems . . . . 653--669
Arthur J. Krener On the Equivalence of Control Systems
and the Linearization of Nonlinear
Systems . . . . . . . . . . . . . . . . 670--676
L. Cesari and
J. R. La Palm and
D. A. Sánchez Erratum: ``An existence theorem for
Lagrange problems with unbounded
controls and a slender set of
exceptional points'' (SIAM J. Control
\bf 9 (1971), 590--605) . . . . . . . . 677--677
C. Lobry Controllability of Nonlinear Systems on
Compact Manifolds . . . . . . . . . . . 1--4
W. M. Wonham and
J. B. Pearson Regulation and Internal Stabilization in
Linear Multivariable Systems . . . . . . 5--18
B. F. Mitchell and
V. F. Dem'yanov and
V. N. Malozemov Finding the Point of a Polyhedron
Closest to the Origin . . . . . . . . . 19--26
Leonard D. Berkovitz Existence and Lower Closure Theorems for
Abstract Control Problems . . . . . . . 27--42
Arthur J. Krener A Generalization of Chow's Theorem and
the Bang--Bang Theorem to Nonlinear
Control Problems . . . . . . . . . . . . 43--52
James Flynn Some Results on Max-Min Pursuit . . . . 53--69
R. Datko Neutral Autonomous Functional Equations
with Quadratic Cost . . . . . . . . . . 70--82
Ronald A. Skoog Positivity Conditions and Instability
Criteria for Feedback Systems . . . . . 83--98
U. G. Haussmann On the Existence of Moments of
Stationary Linear Systems with
Multiplicative Noise . . . . . . . . . . 99--105
A. H. Zemanian Relaxive Hilbert Ports . . . . . . . . . 106--123
N. J. Rao and
J. D. Borwanker and
D. Ramkrishna Numerical Solution of Ito Integral
Equations . . . . . . . . . . . . . . . 124--139
Kenneth R. Gehner Necessary and Sufficient Optimality
Conditions for the Fritz John Problem
with Linear Equality Constraints . . . . 140--149
Richard B. Vinter Generalization to Dual Banach Spaces of
a Theorem by Balakrishnan . . . . . . . 150--166
Ronald J. Stern Differential Games of Survival with
Space-Like Terminal Set . . . . . . . . 167--177
Anonymous Lucien W. Neustadt --- in Memoriam . . . 179--183
Karol Makowski and
Lucien W. Neustadt Optimal Control Problems with Mixed
Control-Phase Variable Equality and
Inequality Constraints . . . . . . . . . 184--228
Hubert Halkin Implicit Functions and Optimization
Problems without Continuous
Differentiability of the Data . . . . . 229--236
A. V. Balakrishnan On the Approximation of Ito Integrals
Using Band-Limited Processes . . . . . . 237--251
H. Hermes On Local and Global Controllability . . 252--261
L. S. Pontryagin Linear Differential Games . . . . . . . 262--267
R. Tyrrell Rockafellar Augmented Lagrange Multiplier Functions
and Duality in Nonconvex Programming . . 268--285
J. Warga Optimal Controls with Pseudodelays . . . 286--299
E. F. Mishchenko On the Problem of Evading the Encounter
in Differential Games . . . . . . . . . 300--310
Czeslaw Olech Characterization of the Weak Closure of
Certain Sets of Integrable Functions . . 311--318
Lamberto Cesari An Existence Theorem without Convexity
Conditions . . . . . . . . . . . . . . . 319--331
R. V. Gamkrelidze and
G. L. Kharatishvili A Differential Game of Evasion with
Nonlinear Control . . . . . . . . . . . 332--349
N. U. Ahmed and
K. L. Teo An Existence Theorem on Optimal Control
of Partially Observable Diffusions . . . 351--355
Daniel H. Wagner and
Lawrence D. Stone Necessity and Existence Results on
Constrained Optimization of Separable
Functionals by a Multiplier Rule . . . . 356--372
Daniel H. Wagner and
Lawrence D. Stone Optimization of Allocations Under a
Coverability Condition . . . . . . . . . 373--379
Charles J. Holland Small Noise Open Loop Control . . . . . 380--388
Yoshiyuki Sakawa Controllability for Partial Differential
Equations of Parabolic Type . . . . . . 389--400
Jean-Michel Bismut An Example of Optimal Stochastic Control
with Constraints . . . . . . . . . . . . 401--418
Richard C. Scalzo $N$-Person Linear-Quadratic Differential
Games with Constraints . . . . . . . . . 419--425
Richard C. Scalzo Differential Games with Restricted Phase
Coordinates . . . . . . . . . . . . . . 426--435
Ethelbert Nwakuche Chukwu Symmetries of Autonomous Linear Control
Systems . . . . . . . . . . . . . . . . 436--448
Robert F. Brammer Geometrically Constrained Observability 449--459
A. Bensoussan Points de Nash Dans le Cas de
Fonctionnelles Quadratiques et Jeux
Differentiels linéaires \`a $N$ Personnes 460--499
Marshall Slemrod A note on complete controllability and
stabilizability for linear control
systems in Hilbert space . . . . . . . . 500--508
J. P. Evans and
F. J. Gould An Existence Theorem for Penalty
Function Theory . . . . . . . . . . . . 509--516
Paolo D'Alessandro and
Alberto Isidori and
Antonio Ruberti Realization and Structure Theory of
Bilinear Dynamical Systems . . . . . . . 517--535
Romano M. De Santis Causality, Strict Causality and
Invertibility for Systems in Hilbert
Resolution Spaces . . . . . . . . . . . 536--553
Anthony N. Michel Stability Analysis of Interconnected
Systems . . . . . . . . . . . . . . . . 554--579
James Flynn Lion and Man: The General Case . . . . . 581--597
R. Klessig General Theory of Convergence for
Constrained Optimization Algorithms that
Use Antizigzagging Provisions . . . . . 598--608
Ronald B. Zmood Euclidean Space Controllability of
Control Systems with Delay . . . . . . . 609--623
Pavol Brunovský The Closed-Loop Time-Optimal Control. I:
Optimality . . . . . . . . . . . . . . . 624--634
B. Martinet and
A. Auslender Méthodes de décomposition pour la
minimisation d'une fonction sur un
espace produit (French) [Decomposition
methods for function minimization in a
product space] . . . . . . . . . . . . . 635--642
Hitoshi Sasai Interior Penalty Method for Minimax
Problems with Constraints . . . . . . . 643--649
Gerald M. Armstrong An Extension of an Optimal Control
Sufficiency Theory . . . . . . . . . . . 650--654
Gerard G. L. Meyer Accelerated Frank--Wolfe Algorithms . . 655--663
Thomas L. Steding and
Arthur R. Bergen Instability of Nonlinear
Infinite-Dimensional Feedback Systems
Using Lyapunov Functionals . . . . . . . 664--678
Frederic H. Murphy A Class of Exponential Penalty Functions 679--687
E. Fabian and
W. M. Wonham Generic Solvability of the Decoupling
Problem . . . . . . . . . . . . . . . . 688--694
D. L. Lukes Global Controllability of Disturbed
Nonlinear Equations . . . . . . . . . . 695--704
L. Cesari and
M. B. Suryanarayana Convexity and Property $ (Q) $ in
Optimal Control Theory . . . . . . . . . 705--720
J. Zabczyk Remarks on the Control of Discrete-Time
Distributed Parameter Systems . . . . . 721--735
Anders Lindquist New Algorithm for Optimal Filtering of
Discrete-Time Stationary Processes . . . 736--746
Anders Lindquist Optimal Filtering of Continuous-Time
Stationary Processes by Means of the
Backward Innovation Process . . . . . . 747--754
Vaclav Dolezal Hilbert Networks. I . . . . . . . . . . 755--778
H. O. Fattorini Boundary Control of Temperature
Distributions in a Parallelepipedon . . 1--13
Yoshiyuki Sakawa Observability and Related Problems for
Partial Differential Equations of
Parabolic Type . . . . . . . . . . . . . 14--27
J. E. Rubio Generalized Curves and Extremal Points 28--47
M. C. Delfour and
C. McCalla and
S. K. Mitter Stability and the Infinite-Time
Quadratic Cost Problem for Linear
Hereditary Differential Systems . . . . 48--88
Ruth F. Curtain Infinite-Dimensional Filtering . . . . . 89--104
Robert J. Elliott and
Avner Friedman A Note on Generalized Pursuit-Evasion
Games . . . . . . . . . . . . . . . . . 105--109
D. D. Thompson and
R. A. Volz Linear Quadratic Cost Problem with
Linear State Constraints and the
Nonsymmetric Riccati Equation . . . . . 110--145
J. Baranger and
R. Temam Nonconvex Optimization Problems
Depending on a Parameter . . . . . . . . 146--152
Vaclav Dolezal and
Armen Zemanian Hilbert Networks. II: Some Qualitative
Properties . . . . . . . . . . . . . . . 153--161
Hirotugu Akaike Markovian Representation of Stochastic
Processes by Canonical Variables . . . . 162--173
Keith D. Graham and
David L. Russell Boundary Value Control of the Wave
Equation in a Spherical Region . . . . . 174--196
E. J. Cockayne and
G. W. C. Hall Plane Motion of a Particle Subject to
Curvature Constraints . . . . . . . . . 197--220
J. S. Baras and
R. W. Brockett $ H^2 $-Functions and
Infinite-Dimensional Realization Theory 221--241
Yulia Schmookler Statistical Mechanics and Systems of
Large Numbers of Elements with Random
Interaction . . . . . . . . . . . . . . 243--270
Stephen M. Robinson Application of Error Bounds for Convex
Programming in a Linear Space . . . . . 271--273
P. K. C. Wang Optimal Control of Parabolic Systems
with Boundary Conditions Involving Time
Delays . . . . . . . . . . . . . . . . . 274--293
Gregory Knowles Lyapunov Vector Measures . . . . . . . . 294--303
Masao Ikeda and
Hajime Maeda and
Shinzo Kodama Estimation and Feedback in Linear
Time-Varying Systems: a Deterministic
Theory . . . . . . . . . . . . . . . . . 304--326
R. E. O'Malley, Jr. and
C. F. Kung The Singularly Perturbed Linear State
Regulator Problem. II . . . . . . . . . 327--337
Raymond Rishel Dynamic Programming and Minimum
Principles for Systems with Jump Markov
Disturbances . . . . . . . . . . . . . . 338--371
I. Bert Russak Second Order Necessary Conditions for
Problems with State Inequality
Constraints . . . . . . . . . . . . . . 372--388
Mineo Ikeda and
Kentaro Sakamoto On the Concept of Symmetry in
Pontryagin's Maximum Principle . . . . . 389--399
Huibert Kwakernaak Periodic Linear Differential Stochastic
Processes . . . . . . . . . . . . . . . 400--413
Héctor J. Sussmann On the Number of Directions Needed to
Achieve Controllability . . . . . . . . 414--419
E. Noldus Instability Criteria for Time-Varying
Nonlinear Functional Differential
Systems . . . . . . . . . . . . . . . . 420--433
Michael E. Warren and
Adrian E. Eckberg, Jr. On the Dimensions of Controllability
Subspaces: a Characterization via
Polynomial Matrices and Kronecker
Invariants . . . . . . . . . . . . . . . 434--445
William N. Anderson, Jr. and
Richard J. Duffin and
George E. Trapp Matrix Operations Induced by Network
Connections . . . . . . . . . . . . . . 446--461
Roberto Triggiani Controllability and Observability in
Banach Space with Bounded Operators . . 462--491
G. David Forney, Jr. Minimal Bases of Rational Vector Spaces,
with Applications to Multivariable
Linear Systems . . . . . . . . . . . . . 493--520
Dimitri P. Bertsekas Combined Primal-Dual and Penalty Methods
for Constrained Minimization . . . . . . 521--544
Charles J. Holland Gaussian Open Loop Control Problems . . 545--551
B. M. Anderson and
F. M. Brasch, Jr. and
P. V. Lopresti Sequential Construction of Minimal
Partial Realizations from Finite
Input-Output Data . . . . . . . . . . . 552--571
Peddapullaiah Sannuti Asymptotic Expansions of Singularly
Perturbed Quasi-Linear Optimal Systems 572--592
P. A. Cook Circle Criteria for Stability in Hilbert
Space . . . . . . . . . . . . . . . . . 593--610
H. T. Banks and
Marc Q. Jacobs and
C. E. Langenhop Characterization of the Controlled
States in $ W_2^{(1)} $ of Linear
Hereditary Systems . . . . . . . . . . . 611--649
Alejo Planchart and
Arthur P. Hurter, Jr. Efficient Algorithm for the Solution of
the Weber Problem with Mixed Norms . . . 650--665
Lamberto Cesari Convexity of the Range of Certain
Integrals . . . . . . . . . . . . . . . 666--676
A. B. Schwarzkopf Relaxed Control Problems with State
Equality Constraints . . . . . . . . . . 677--694
A. B. Schwarzkopf Controllability and Tenability of
Nonlinear Systems with State Equality
Constraints . . . . . . . . . . . . . . 695--705
Robert A. Abrams Projections of Convex Programs with
Unattained Infima . . . . . . . . . . . 706--718
Hiroshi Inaba and
Byron D. Tapley Generalized Random Processes: a Theory
and the White Gaussian Process . . . . . 719--735
Micha Hofri Stochastic Scheduling Design in
Multiserver Systems . . . . . . . . . . 736--748
R. S. Bucy Structural Stability for the Riccati
Equation . . . . . . . . . . . . . . . . 749--753
Viorel Barbu Convex Control Problems of Bolza in
Hilbert Spaces . . . . . . . . . . . . . 754--771
O. L. Mangasarian Unconstrained Lagrangians in Nonlinear
Programming . . . . . . . . . . . . . . 772--791
B. P. Molinari Nonnegativity of a Quadratic Functional 792--806
Ethelbert N. Chukwu Finite Time Controllability of Nonlinear
Control Processes . . . . . . . . . . . 807--816
J. Casti and
L. Ljung Some New Analytic and Computational
Results for Operator Riccati Equations 817--826
Arthur J. Krener Bilinear and Nonlinear Realizations of
Input-Output Maps . . . . . . . . . . . 827--834
L. F. Pau Differential Games and a Nash
Equilibrium Searching Algorithm . . . . 835--852
J. Snyders and
W. M. Wonham Regulation of Linear Stochastic Systems 853--864
Zvi Artstein Weak Convergence of Set-Valued Functions
and Control . . . . . . . . . . . . . . 865--878
James Ting-Ho Lo Global Bilinearization of Systems with
Control Appearing Linearly . . . . . . . 879--885
James Ting Ho Lo and
Alan S. Willsky Stochastic Control of Rotational
Processes with One Degree of Freedom . . 886--898
Helmut Maurer Example of a Continuous Junction for a
Singular Control Problem of Even Order 899--903
A. Bensoussan and
M. Viot Optimal Control of Stochastic Linear
Distributed Parameter Systems . . . . . 904--926
William L. Root On the Modeling of Systems for
Identification. I: $ \varepsilon
$-Representations of Classes of Systems 927--944
William L. Root On the Modeling of Systems for
Identification. Part II: Time-Varying
Systems . . . . . . . . . . . . . . . . 945--974
A. V. Balakrishnan Errata: On the Approximation of Ito
Integrals Using Band-Limited Processes. 975--975
T. Parthasarathy and
T. E. S. Raghavan Existence of Saddle Points and Nash
Equilibrium Points for Differential
Games . . . . . . . . . . . . . . . . . 977--980
N. U. Ahmed and
K. L. Teo Necessary Conditions for Optimality of
Cauchy Problems for Parabolic Partial
Differential Systems . . . . . . . . . . 981--993
P. Kall and
W. Oettli Measurability Theorems for Stochastic
Extremals . . . . . . . . . . . . . . . 994--998
R. Boel and
P. Varaiya and
E. Wong Martingales on Jump Processes. I:
Representation Results . . . . . . . . . 999--1021
R. Boel and
P. Varaiya and
E. Wong Martingales on Jump Processes. II:
Applications . . . . . . . . . . . . . . 1022--1061
Viorel Barbu On the Control Problem of Bolza in
Hilbert Spaces . . . . . . . . . . . . . 1062--1076
Tyrone Duncan and
Pravin Varaiya On the Solutions of a Stochastic Control
System. II . . . . . . . . . . . . . . . 1077--1092
Jakov Snyders Error Expressions for Optimal Stationary
State Estimation . . . . . . . . . . . . 1093--1102
John B. Moore and
S. Sankar Sengupta Existence and Control of Markov Chains
in Systems of Deterministic Motion . . . 1103--1114
Stanley R. Pliska Semigroup Representation of the Maximum
Expected Reward Vector in Continuous
Parameter Markov Decision Theory . . . . 1115--1129
Ruth F. Curtain The Infinite Dimensional Riccati
Equation with Applications to Affine
Hereditary Differential Systems . . . . 1130--1143
Mathukumalli Vidyasagar Coprime Factorizations and Stability of
Multivariable Distributed Feedback
Systems . . . . . . . . . . . . . . . . 1144--1155
Andrew Acker Stability Criteria for Time-Varying
Systems in Hilbert Space . . . . . . . . 1156--1171
Violet B. Haas On Normality and Conjugate Point
Criteria for Singular Extremals . . . . 1172--1182
D. O. Norris and
L. E. Snyder Consistency of Least-Squares Estimates
Used in Linear Systems Identification 1183--1193
Garth P. McCormick An Arc Method for Nonlinear Programming 1194--1216
Jerzy Zabczyk On Optimal Stochastic Control of
Discrete-Time Systems in Hilbert Space 1217--1234
G. A. Hewer Periodicity, Detectability and the
Matrix Riccati Equation . . . . . . . . 1235--1251
Michael A. Arbib and
Ernest G. Manes Time-Varying Systems . . . . . . . . . . 1252--1270
Norman Levitt and
Héctor J. Sussmann On Controllability by Means of Two
Vector Fields . . . . . . . . . . . . . 1271--1281
C. Lobry Erratum: Contrôlabilité des syst\`emes non
linéaires. (French) [Erratum:
Controllability of nonlinear systems] 387--387
L. B. Weiner Comments on: ``Generalized
Prediction-Correction Estimation'' . . . 857--858
R. S. Bucy Erratum: Structural Stability for the
Riccati Equation . . . . . . . . . . . . 904--904