| Description |
1 online resource (xii, 266 pages) : illustrations |
| Series |
Mathematics in science and engineering ; v. 120 |
|
Mathematics in science and engineering ; v. 120.
|
| 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 |
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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 |
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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 |
| Summary |
Pursuit games : an introduction to the theory and applications of differential games of pursuit and evasion |
| Notes |
Includes index |
|
Print version record |
| Subject |
Differential games.
|
|
MATHEMATICS -- Game Theory.
|
|
Differential games
|
| Form |
Electronic book
|
| ISBN |
9780123172600 |
|
0123172608 |
|
9780080956299 |
|
0080956297 |
|
