Download or read book Differential Games Of Pursuit written by Leon A Petrosyan and published by World Scientific. This book was released on 1993-09-30 with total page 340 pages. 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.
Download or read book Pursuit Evasion Differential Games written by Y. Yavin and published by Elsevier. This book was released on 2014-06-28 with total page 352 pages. 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'.
Download or read book Differential Games written by Avner Friedman and published by Courier Corporation. This book was released on 2013-06-06 with total page 372 pages. 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.
Download or read book PURSUIT EVASION DIFFERENTIAL GAMES written by John B. Berger and published by . This book was released on 1968 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
Download or read book Handbook of Dynamic Game Theory written by Tamer Basar and published by . This book was released on 19?? with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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."
Download or read book Pursuit evasion differential games written by and published by . This book was released on 1989 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Pursuit Games written by Otomar Hajek and published by Courier Corporation. This book was released on 2008-01-01 with total page 283 pages. 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.
Download or read book Pursuit evasion Differential Games III written by M. Pachter and published by . This book was released on 1993 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Differential Games written by Rufus Isaacs and published by Courier Corporation. This book was released on 2012-04-26 with total page 420 pages. 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.
Download or read book Studies in Pursuit evasion Differential Games written by Noboru Sugino and published by . This book was released on 1967 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Stochastic and Differential Games written by Martino Bardi and published by Springer Science & Business Media. This book was released on 1999-06 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of two-person, zero-sum differential games started at the be ginning of the 1960s with the works of R. Isaacs in the United States and L. S. Pontryagin and his school in the former Soviet Union. Isaacs based his work on the Dynamic Programming method. He analyzed many special cases of the partial differential equation now called Hamilton Jacobi-Isaacs-briefiy HJI-trying to solve them explicitly and synthe sizing optimal feedbacks from the solution. He began a study of singular surfaces that was continued mainly by J. Breakwell and P. Bernhard and led to the explicit solution of some low-dimensional but highly nontriv ial games; a recent survey of this theory can be found in the book by J. Lewin entitled Differential Games (Springer, 1994). Since the early stages of the theory, several authors worked on making the notion of value of a differential game precise and providing a rigorous derivation of the HJI equation, which does not have a classical solution in most cases; we mention here the works of W. Fleming, A. Friedman (see his book, Differential Games, Wiley, 1971), P. P. Varaiya, E. Roxin, R. J. Elliott and N. J. Kalton, N. N. Krasovskii, and A. I. Subbotin (see their book Po sitional Differential Games, Nauka, 1974, and Springer, 1988), and L. D. Berkovitz. A major breakthrough was the introduction in the 1980s of two new notions of generalized solution for Hamilton-Jacobi equations, namely, viscosity solutions, by M. G. Crandall and P. -L.
Download or read book Numerical Solutions for Pursuit evasion Differential Games written by Aran Chompaisal and published by . This book was released on 1978 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book LQ Dynamic Optimization and Differential Games written by Jacob Engwerda and published by John Wiley & Sons. This book was released on 2005-06-17 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: Game theory is the theory of social situations, and the majority of research into the topic focuses on how groups of people interact by developing formulas and algorithms to identify optimal strategies and to predict the outcome of interactions. Only fifty years old, it has already revolutionized economics and finance, and is spreading rapidly to a wide variety of fields. LQ Dynamic Optimization and Differential Games is an assessment of the state of the art in its field and the first modern book on linear-quadratic game theory, one of the most commonly used tools for modelling and analysing strategic decision making problems in economics and management. Linear quadratic dynamic models have a long tradition in economics, operations research and control engineering; and the author begins by describing the one-decision maker LQ dynamic optimization problem before introducing LQ differential games. Covers cooperative and non-cooperative scenarios, and treats the standard information structures (open-loop and feedback). Includes real-life economic examples to illustrate theoretical concepts and results. Presents problem formulations and sound mathematical problem analysis. Includes exercises and solutions, enabling use for self-study or as a course text. Supported by a website featuring solutions to exercises, further examples and computer code for numerical examples. LQ Dynamic Optimization and Differential Games offers a comprehensive introduction to the theory and practice of this extensively used class of economic models, and will appeal to applied mathematicians and econometricians as well as researchers and senior undergraduate/graduate students in economics, mathematics, engineering and management science.
Download or read book Chases and Escapes written by Paul Nahin and published by Princeton University Press. This book was released on 2012-07-22 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: We all played tag when we were kids. What most of us don't realize is that this simple chase game is in fact an application of pursuit theory, and that the same principles of games like tag, dodgeball, and hide-and-seek are also at play in military strategy, high-seas chases by the Coast Guard, and even romantic pursuits. In Chases and Escapes, Paul Nahin gives us the first complete history of this fascinating area of mathematics, from its classical analytical beginnings to the present day. Drawing on game theory, geometry, linear algebra, target-tracking algorithms, and much more, Nahin also offers an array of challenging puzzles with their historical background and broader applications. Chases and Escapes includes solutions to all problems and provides computer programs that readers can use for their own cutting-edge analysis. Now with a gripping new preface on how the Enola Gay escaped the shock wave from the atomic bomb dropped on Hiroshima, this book will appeal to anyone interested in the mathematics that underlie pursuit and evasion. Some images inside the book are unavailable due to digital copyright restrictions.
Download or read book Multi player Pursuit evasion Differential Games written by Dongxu Li and published by . This book was released on 2006 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: The increasing use of autonomous assets in modern military operations has led to renewed interest in (multi-player) Pursuit-Evasion (PE) differential games. However, the current differential game theory in the literature is inadequate for dealing with this newly emerging situation. The purpose of this dissertation is to study general PE differential games with multiple pursuers and multiple evaders in continuous time. The current differential game theory is not applicable mainly because the terminal states of a multi-player PE game are difficult to specify. To circumvent this difficulty, we solve a deterministic problem by an indirect approach starting with a suboptimal solution based on "structured" controls of the pursuers. If the structure is set-time-consistent, the resulting suboptimal solution can be improved by the optimization based on limited look-ahead. When the performance enhancement is applied iteratively, an optimal solution can be approached in the limit. We provide a hierarchical method that can determine a valid initial point for this iterative process. The method is also extended to the stochastic game case. For a problem where uncertainties only appear in the players' dynamics and the states are perfectly measured, the iterative method is largely valid. For a more general problem where the players' measurement is not perfect, only a special case is studied and a suboptimal approach based on one-step look-ahead is discussed. In addition to the numerical justification of the iterative method, the theoretical soundness of the method is addressed for deterministic PE games under the framework of viscosity solution theory for Hamilton-Jacobi equations. Conditions are derived for the existence of solutions of a multi-player game. Some issues on capturability are also discussed for the stochastic game case. The fundamental idea behind the iterative approach is attractive for complicated problems. When a direct solution is difficult, an alternative approach is usually to search for an approximate solution and the possibility of serial improvements based on it. The improvement can be systematic or random. It is expected that an optimal solution can be approached in the long term.
Download or read book Stochastic Pursuit evasion Differential Games Multi pursueres evaders written by George J. Vachtsevanos and published by . This book was released on 2005 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Stochastic Two target Pursuit evasion Differential Games in 3 D written by Yakoov Yavin and published by . This book was released on 1986 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt:
