Read Differential Games of Pursuit

Differential Games of Pursuit

Leon A. Petrosyan

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Description:The classical optimal control theory deals with the determination of an optimal control that optimizes the criterion subjects to the dynamic constraint expressing the evolution of the system state under the influence of control variables. If this is extended to the case of multiple controllers (also called players) with different and sometimes conflicting optimization 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" games, simple pursuit games, etc.), and new time-consistent optimality principles in the "n"-person differential game theory are introduced and investigated.Contents: PreliminariesDefinition of Differential Game of Pursuit and Existence Theorem of Equilibrium PointsClass of Pursuit-Evasion Games with Optimal Open-Loop Strategy for EvaderExamples of Differential Games of Pursuit"Life Line" Game of PursuitDifferential Games with Incomplete InformationNoncooperative Differential GamesCooperative Differential Games with Side PaymentsNew Optimality Principles in "n"-Person Differential GamesReadership: Postgraduates and researchers in applied mathematics.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Differential Games of Pursuit. To get started finding Differential Games of Pursuit, you are right to find our website which has a comprehensive collection of manuals listed.
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Pages: 340

Format: PDF, EPUB & Kindle Edition

Publisher: World Scientific Publishing Company

Release: 2014

ISBN: 1299670970

Description: The classical optimal control theory deals with the determination of an optimal control that optimizes the criterion subjects to the dynamic constraint expressing the evolution of the system state under the influence of control variables. If this is extended to the case of multiple controllers (also called players) with different and sometimes conflicting optimization 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" games, simple pursuit games, etc.), and new time-consistent optimality principles in the "n"-person differential game theory are introduced and investigated.Contents: PreliminariesDefinition of Differential Game of Pursuit and Existence Theorem of Equilibrium PointsClass of Pursuit-Evasion Games with Optimal Open-Loop Strategy for EvaderExamples of Differential Games of Pursuit"Life Line" Game of PursuitDifferential Games with Incomplete InformationNoncooperative Differential GamesCooperative Differential Games with Side PaymentsNew Optimality Principles in "n"-Person Differential GamesReadership: Postgraduates and researchers in applied mathematics.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Differential Games of Pursuit. To get started finding Differential Games of Pursuit, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Differential Games of Pursuit

Differential Games of Pursuit

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