Pursuit Games
An Introduction to the Theory and Applications of Differential Games of Pursuit and Evasion
Erschienen am 14. Mai 2014
279 Seiten
978-0-08-095629-9 (ISBN)
Beschreibung
This book describes systematic methods for winning in differential games of pursuit and evasion and illustrates the scope and application of the developed procedures.
Weitere Details
Weitere Ausgaben
Andere Ausgaben
Otomar Hajek
Pursuit Games
Buch
01/1975
Academic Press
48,26 €
Artikel ist vergriffen; siehe andere Ausgabe
Inhalt
- 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 Targets
- 3.6 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 Targets
- 7.4 Isochronous Capture
- CHAPTER VIII. STRATEGIES
- 8.1 Compactness Lemma
- 8.2 Optimal Strategies
- 8.3 Design of Strategies
- Index
