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Differential Games Of Pursuit

1993-09-30 Mathematics
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Release : 1993-09-30
Genre : Mathematics
Kind : eBook
Book Rating : 552/5 ( reviews)

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Book Synopsis Differential Games Of Pursuit by : Leon A Petrosyan

Download or read book Differential Games Of Pursuit written by Leon A Petrosyan. This book was released on 1993-09-30. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Pursuit Games

2008-01-01 Mathematics
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Release : 2008-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 838/5 ( reviews)

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Book Synopsis Pursuit Games by : Otomar Hajek

Download or read book Pursuit Games written by Otomar Hajek. This book was released on 2008-01-01. Available in PDF, EPUB and Kindle. Book excerpt: A presentation of systematic methods for winning differential games of pursuit and evasion, this volume explores the procedures' scope and applications. Numerous examples illustrate basic and advanced concepts, including capture, strategy, and algebraic theory. Detailed proofs appear throughout the text, along with 200 exercises that further clarify each subject. 1975 edition.

Differential Games

2012-04-26 Mathematics
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Release : 2012-04-26
Genre : Mathematics
Kind : eBook
Book Rating : 985/5 ( reviews)

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Book Synopsis Differential Games by : Rufus Isaacs

Download or read book Differential Games written by Rufus Isaacs. This book was released on 2012-04-26. Available in PDF, EPUB and Kindle. Book excerpt: Definitive work draws on game theory, calculus of variations, and control theory to solve an array of problems: military, pursuit and evasion, athletic contests, many more. Detailed examples, formal calculations. 1965 edition.

Differential Games

2013-06-06 Mathematics
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Release : 2013-06-06
Genre : Mathematics
Kind : eBook
Book Rating : 274/5 ( reviews)

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Book Synopsis Differential Games by : Avner Friedman

Download or read book Differential Games written by Avner Friedman. This book was released on 2013-06-06. Available in PDF, EPUB and Kindle. Book excerpt: Graduate-level text surveys games of fixed duration, games of pursuit and evasion, the computation of saddle points, games of survival, games with restricted phase coordinates, and N-person games. 1971 edition.

Pursuit-Evasion Differential Games

2014-06-28 Mathematics
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Release : 2014-06-28
Genre : Mathematics
Kind : eBook
Book Rating : 931/5 ( reviews)

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Book Synopsis Pursuit-Evasion Differential Games by : Y. Yavin

Download or read book Pursuit-Evasion Differential Games written by Y. Yavin. This book was released on 2014-06-28. Available in PDF, EPUB and Kindle. Book excerpt: Twenty papers are devoted to the treatment of a wide spectrum of problems in the theory and applications of dynamic games with the emphasis on pursuit-evasion differential games. The problem of capturability is thoroughly investigated, also the problem of noise-corrupted (state) measurements. Attention is given to aerial combat problems and their attendant modelling issues, such as variable speed of the combatants, the three-dimensionality of physical space, and the combat problem, i.e. problems related to 'role determination'.

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