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Differential Games Of Pursuit : Optimization - Leon A. Petrosyan

Differential Games Of Pursuit


Hardcover Published: 30th September 1993
ISBN: 9789810209797
Number Of Pages: 340

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The classical optimal control theory deals with the determination of an optimal control that optimizes the criterion subject to the dynamic constraint expressing the evolution of the system state under the influence of control variables. If this is extended to the case criteria (payoff function) it is possible to begin to explore differential games. Zero-sum differential games, also called differential games of pursuit, constitute the most developed part of differential games and are rigorously investigated. In this book, the full theory of differential games of pursuit with complete and partial information is developed. Numerous concrete pursuit-evasion games are solved ("life-line" game, simple pursuit games, etc) and new time-consistent optimality principles in the n-person differential game theory are introduced and investigated.

Preliminariesp. 1
Definition of differential game of pursuit and existence theorem of equilibrium pointsp. 49
Class of pursuit-evasion games with optimal open-loop strategy for evaderp. 83
Examples of differential games of pursuitp. 119
"Life line" game of pursuitp. 149
Differential games with incomplete informationp. 169
Noncooperative differential gamesp. 235
Cooperative differential games with side paymentsp. 283
New optimality principles in n-person differential gamesp. 303
Bibliographyp. 319
Indexp. 325
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9789810209797
ISBN-10: 9810209797
Series: Optimization
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 340
Published: 30th September 1993
Country of Publication: SG
Dimensions (cm): 22.86 x 16.51  x 1.91
Weight (kg): 0.57

Earn 596 Qantas Points
on this Book