Pursuit games : an introduction to the theory and applications of differential games of pursuit and evasion / Otomar Hajek.

Format:

Book

Author/Creator:

Hájek, Otomar.

Series:

Mathematics in science and engineering ; v. 120.

Mathematics in science and engineering ; v. 120

Language:

English

Subjects (All):

Differential games.

Game theory.

Physical Description:

1 online resource (279 p.)

Place of Publication:

New York : Academic Press, 1975.

Language Note:

English

Summary:

Pursuit games : an introduction to the theory and applications of differential games of pursuit and evasion

Contents:

Front Cover; Pursuit Games; Copyright Page; Contents; Introduction; Conventions; CHAPTER I. EXAMPLES; 1.1 Navigation Problem; 1.2 Simple Pursuit in; 1.3 One-Dimensional Rocket Chase; 1.4 Kelley's Game: Pursuit on a Sphere; 1.5 Homicidal Chauffeur; 1.6 Two Cars; 1.7 Unpleasant Examples; CHAPTER II. BASIC CONCEPTS; 2.1 Differential Equations: Miscellany; 2.2 Controls, Strategies, Winning Positions; 2.3 Principle of Suboptimality; CHAPTER III. STROBOSCOPIC AND ISOCHRONOUS CAPTURE; 3.1 Forcing to Origin; 3.2 Unorthodox Linearisation; 3.3 Affine Targets; 3.4 Necessary Conditions

3.5 General Targets3.6 Time Delays; 3.7 Holding; 3.8 Convex Sets, Pontrjagin Difference; 3.9 Measurable Selection; 3.10 Richter's Theorem; 3.11 Reachable Sets; CHAPTER IV. ISOCHRONOUS CAPTURE; 4.1 Winning Sets; 4.2 Necessary Conditions; CHAPTER V. CAPTURE; 5.1 Necessary Conditions; 5.2 Sufficient Conditions; 5.3 Large Targets; 5.4 Invariant Targets; CHAPTER VI. ALGEBRAIC THEORY; 6.1 Game Space, Control Order; 6.2 Min-Max Controllability; 6.3 Equivalent Descriptions; 6.4 Invariants and Semi-Invariants; CHAPTER VII. NONLINEAR GAMES; 7.1 Essential Points; 7.2 Essential Points on Large Targets

7.3 Necessary Conditions for Small Targets7.4 Isochronous Capture; CHAPTER VIII. STRATEGIES; 8.1 Compactness Lemma; 8.2 Optimal Strategies; 8.3 Design of Strategies; Index

Notes:

Includes index.

ISBN:

1-282-29003-7

9786612290039

0-08-095629-7

OCLC:

316568481