Differential Games: A Concise Introduction
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A01=Jiongmin Yong
Author_Jiongmin Yong
Category=PBUD
Controllability
Elliot-Kalton Strategy
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Evasion
Hamilton-Jacobi Equation
Linear-Quadratic Problem
Optimal Control
Pursuit
Switching and Impulse Control
Two-Person Differential Games
Viability
Viscosity Solution
Zero-Sum
Product details
- ISBN 9789814596220
- Publication Date: 06 Feb 2015
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
