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Discrete-time optimal control and games on large intervals

Record Type:	Electronic resources : Monograph/item
Title/Author:	Discrete-time optimal control and games on large intervalsby Alexander J. Zaslavski.
Author:	Zaslavski, Alexander J.
Published:	Cham :Springer International Publishing :2017.
Description:	x, 398 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Two-person zero-sum games.
Online resource:	http://dx.doi.org/10.1007/978-3-319-52932-5
ISBN:	9783319529325$q(electronic bk.)

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

Discrete-time optimal control and games on large intervals[electronic resource] /by Alexander J. Zaslavski. - Cham :Springer International Publishing :2017. - x, 398 p. :ill., digital ;24 cm. - Springer optimization and its applications,v.1191931-6828 ;. - Springer optimization and its applications ;v. 3..

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.

ISBN: 9783319529325$q(electronic bk.)

Standard No.: 10.1007/978-3-319-52932-5doiSubjects--Topical Terms:

779947
Two-person zero-sum games.

LC Class. No.: QA270

Dewey Class. No.: 519.3

Discrete-time optimal control and games on large intervals
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520 $a 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.
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