Author: Y. Yavin
Publisher: Elsevier
ISBN: 1483295931
Category : Mathematics
Languages : en
Pages : 352
Book Description
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'.
Differential Games Of Pursuit
Author: Leon A Petrosyan
Publisher: World Scientific
ISBN: 9814505552
Category : Mathematics
Languages : en
Pages : 340
Book 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.
Publisher: World Scientific
ISBN: 9814505552
Category : Mathematics
Languages : en
Pages : 340
Book 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.
Pursuit-Evasion Differential Games
Author: Y. Yavin
Publisher: Elsevier
ISBN: 1483295931
Category : Mathematics
Languages : en
Pages : 352
Book Description
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'.
Publisher: Elsevier
ISBN: 1483295931
Category : Mathematics
Languages : en
Pages : 352
Book Description
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'.
Differential Games
Author: Avner Friedman
Publisher: Courier Corporation
ISBN: 0486153274
Category : Mathematics
Languages : en
Pages : 372
Book Description
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.
Publisher: Courier Corporation
ISBN: 0486153274
Category : Mathematics
Languages : en
Pages : 372
Book Description
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.
Author: John B. Berger
Publisher:
ISBN:
Category :
Languages : en
Pages : 123
Book Description
Differential game theory is applied to several classes of pursuit-evasion problems. For these differential games the dynamics of the participants are described by linear nonstationary differential equations. One class of differential games that was formulated and studied is the differential game, where the evader has to out maneuver a pursuer, if it is to strike the target that the pursuer is defending. This differential game will be called the differential endgame. The differential endgame's payoff functional is the square of the terminal engagement miss distance weighted against the difference of the participants' control energies, spent during their respective flight times. The evader's target constraints are the position coordinates of the target and the evader's kinetic energy as it strikes the target. (Author).
Publisher:
ISBN:
Category :
Languages : en
Pages : 123
Book Description
Differential game theory is applied to several classes of pursuit-evasion problems. For these differential games the dynamics of the participants are described by linear nonstationary differential equations. One class of differential games that was formulated and studied is the differential game, where the evader has to out maneuver a pursuer, if it is to strike the target that the pursuer is defending. This differential game will be called the differential endgame. The differential endgame's payoff functional is the square of the terminal engagement miss distance weighted against the difference of the participants' control energies, spent during their respective flight times. The evader's target constraints are the position coordinates of the target and the evader's kinetic energy as it strikes the target. (Author).
Handbook of Dynamic Game Theory
Author: Tamer Basar
Publisher:
ISBN: 9783319273358
Category : Differential games
Languages : en
Pages :
Book Description
Résumé : "This will be a two-part handbook on Dynamic Game Theory and part of the Springer Reference program. Part I will be on the fundamentals and theory of dynamic games. It will serve as a quick reference and a source of detailed exposure to topics in dynamic games for a broad community of researchers, educators, practitioners, and students. Each topic will be covered in 2-3 chapters with one introducing basic theory and the other one or two covering recent advances and/or special topics. Part II will be on applications in fields such as economics, management science, engineering, biology, and the social sciences."
Publisher:
ISBN: 9783319273358
Category : Differential games
Languages : en
Pages :
Book Description
Résumé : "This will be a two-part handbook on Dynamic Game Theory and part of the Springer Reference program. Part I will be on the fundamentals and theory of dynamic games. It will serve as a quick reference and a source of detailed exposure to topics in dynamic games for a broad community of researchers, educators, practitioners, and students. Each topic will be covered in 2-3 chapters with one introducing basic theory and the other one or two covering recent advances and/or special topics. Part II will be on applications in fields such as economics, management science, engineering, biology, and the social sciences."
Pursuit-evasion differential games
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 320
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 320
Book Description
Pursuit Games
Author: Otomar Hajek
Publisher: Courier Corporation
ISBN: 0486462838
Category : Mathematics
Languages : en
Pages : 283
Book Description
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.
Publisher: Courier Corporation
ISBN: 0486462838
Category : Mathematics
Languages : en
Pages : 283
Book Description
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
Author: Rufus Isaacs
Publisher: Courier Corporation
ISBN: 0486135985
Category : Mathematics
Languages : en
Pages : 420
Book Description
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.
Publisher: Courier Corporation
ISBN: 0486135985
Category : Mathematics
Languages : en
Pages : 420
Book Description
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.
Pursuit-evasion Differential Games III
Author: M. Pachter
Publisher:
ISBN:
Category :
Languages : en
Pages : 152
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 152
Book Description
Studies in Pursuit-evasion Differential Games
Author: Noboru Sugino
Publisher:
ISBN:
Category : Differential games
Languages : en
Pages : 264
Book Description
Publisher:
ISBN:
Category : Differential games
Languages : en
Pages : 264
Book Description