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Discrete-time optimal control and games on large intervals / / by Alexander J. Zaslavski



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Autore: Zaslavski Alexander J Visualizza persona
Titolo: Discrete-time optimal control and games on large intervals / / by Alexander J. Zaslavski Visualizza cluster
Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017
Edizione: 1st ed. 2017.
Descrizione fisica: 1 online resource (X, 398 p.)
Disciplina: 515.64
Soggetto topico: Calculus of variations
System theory
Operations research
Management science
Calculus of Variations and Optimal Control; Optimization
Systems Theory, Control
Operations Research, Management Science
Nota di bibliografia: Includes bibliographical references and index.
Sommario/riassunto: Devoted to the structure of approximate solutions of discrete-time optimal control problems and approximate solutions of dynamic discrete-time two-player zero-sum games, this book presents results on properties of approximate solutions in an interval that is independent lengthwise, for all sufficiently large intervals. Results concerning the so-called turnpike property of optimal control problems and zero-sum games in the regions close to the endpoints of the time intervals are the main focus of this book. The description of the structure of approximate solutions on sufficiently large intervals and its stability will interest graduate students and mathematicians in optimal control and game theory, engineering, and economics. This book begins with a brief overview and moves on to analyze the structure of approximate solutions of autonomous nonconcave discrete-time optimal control Lagrange problems.Next the structures of approximate solutions of autonomous discrete-time optimal control problems that are discrete-time analogs of Bolza problems in calculus of variations are studied. The structures of approximate solutions of two-player zero-sum games are analyzed through standard convexity-concavity assumptions. Finally, turnpike properties for approximate solutions in a class of nonautonomic dynamic discrete-time games with convexity-concavity assumptions are examined.
Titolo autorizzato: Discrete-Time Optimal Control and Games on Large Intervals  Visualizza cluster
ISBN: 3-319-52932-3
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910254284803321
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Serie: Springer Optimization and Its Applications, . 1931-6828 ; ; 119