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Differential games : a concise introduction / Jiongmin Yong.

By: Yong, Jiongmin [author].
Material type: TextTextPublisher: Singapore : World Scientific, ©2015Description: xiii, 322 pages ; 24 cm.ISBN: 9789814596220 .Subject(s): Differential games | Game theoryDDC classification: 519.3
Contents:
1. Introduction -- 2. Control theory- single-player differential games -- 3. Two-person zero sum differential games- a general consideration -- 4. Differential games with unbounded controls -- 5. Differential games of pursuit and evasion -- 6. Linear-quadratic differential games -- 7. Differential games with switching strategies.
Summary: This book uses a small volume to present the most basic results for deterministic two-person differential games. The presentation begins with optimization of a single function, followed by a basic theory for two-person games. For dynamic situations, the author first recalls control theory which is treated as single-person differential games. Then a systematic theory of two-person differential games is concisely presented, including evasion and pursuit problems, zero-sum problems and LQ differential games.The book is intended to be self-contained, assuming that the readers have basic knowledge of calculus, linear algebra, and elementary ordinary differential equations. The readership of the book could be junior/senior undergraduate and graduate students with majors related to applied mathematics, who are interested in differential games. Researchers in some other related areas, such as engineering, social science, etc. will also find the book useful.
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Item type Current location Call number Status Date due Barcode Item holds
Books Books ISI Library, Kolkata
 
519.3 Y55 (Browse shelf) Available 137453
Total holds: 0

Includes bibliographical references and index.

1. Introduction --
2. Control theory- single-player differential games --
3. Two-person zero sum differential games- a general consideration --
4. Differential games with unbounded controls --
5. Differential games of pursuit and evasion --
6. Linear-quadratic differential games --
7. Differential games with switching strategies.

This book uses a small volume to present the most basic results for deterministic two-person differential games. The presentation begins with optimization of a single function, followed by a basic theory for two-person games. For dynamic situations, the author first recalls control theory which is treated as single-person differential games. Then a systematic theory of two-person differential games is concisely presented, including evasion and pursuit problems, zero-sum problems and LQ differential games.The book is intended to be self-contained, assuming that the readers have basic knowledge of calculus, linear algebra, and elementary ordinary differential equations. The readership of the book could be junior/senior undergraduate and graduate students with majors related to applied mathematics, who are interested in differential games. Researchers in some other related areas, such as engineering, social science, etc. will also find the book useful.

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