Differential Games: A Concise Introduction

by Jiongmin Yong

Overview

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.

Product Details

ISBN-13:	9789814596220
Publisher:	World Scientific Publishing Company, Incorporated
Publication date:	02/06/2015
Pages:	336
Product dimensions:	6.10(w) x 9.10(h) x 0.90(d)

Table of Contents

Introduction; Control Theory — Single-Player Differential Games; Two-Person Differential Games — A General Consideration; Two-Person Zero-Sum Differential Games with Unbounded Controls; Differential Games of Evasion and Pursuit; Linear-Quadratic Differential Games; Differential Games with Switching and Impulse Controls.