Control and Dynamic Systems V17 - 1st Edition - ISBN: 9780120127177, 9780323150187

Control and Dynamic Systems V17

1st Edition

Advances in Theory and Applications

Editors: C.T. Leonides
eBook ISBN: 9780323150187
Imprint: Academic Press
Published Date: 28th April 1981
Page Count: 442
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Control and Dynamic Systems: Advances in Theory and Application, Volume 17 deals with the theory of differential games and its applications. It provides a unique presentation of the differential game theory as well as the use of algorithms for solving this complex class problems. This book discusses fundamental concepts and system problem formulation for differential game systems. It also considers pursuit-evasion games and on-line real time computer control techniques.
This book will serve as a useful reference for those interested in effective computations for differential games.

Table of Contents

Front Cover

Control and Dynamic Systems: Advances in Theory and Applications

Copyright Page

Table of Contents



Contents of Previous Volumes

Chapter 1. An Overview of Differential Games

I. Games

II. General Formulation

III. Two-Person Games

IV. Solution Techniques

V. Applications

VI. Future of Differential Games


Chapter 2. Use of Parameter Optimization Methods to Determine the Existence of Game Theoretic Saddle Points

I. Introduction

II. Solutions to Differential Game Problems

III. Polynomial Approximations and Saddle Points

IV. Vertical Plane Pursuit-Evasion with Range Payoff

V. Conclusions


Chapter 3. Solution Techniques for Realistic Pursuit-Evasion Games

I. Introduction

II. Problem Statement

III. Modeling Considerations

IV. Linear Differential Games with Bounded Controls

V. Singular Perturbation Technique for Nonlinear Pursuit-Evasion Games

VI. Concluding Remarks


Chapter 4. Differential Dynamic Programming Techniques in Differential Games

I. Introduction

II. The Optimal Control Problem

III. Solving the Optimal Control Problem

IV. Optimal Miss Distance for a Variable Speed Model

V. Sequence of Events

VI. Conclusions


Chapter 5. Stochastic Differential Game Techniques

I. Introduction

II. General Problem Formulation

III. Solution Concepts and Difficulties

IV. Perfect- Information/Noise-Corrupted Game

V. Payoff Relationships

VI. Noise-Corrupted/Noise-Corrupted Games

VII. A Pursuit-Evasion Example

VIII. Conclusions and Remarks


Chapter 6. Algorithms for Differential Games with Bounded Control and State

I. Introduction

II. Problem Statement

III. Algorithm for Security-Level Strategies

IV. Linear-Quadratic Differential Game

V. Nonlinear Stochastic Missile Antimissile Problem

VI. Conclusions


Chapter 7. Air Combat Systems Analysis Techniques

I. Differential Games and Military Systems Decisions

II. Differential Game/Barrier Theory

III. The Simplest Model

IV. Limited Pursuer Model

V. Relative Evaluation of Fighter A/C Capability: An Application

VI. The Barrier and Its Use in Air-to-Air Combat Role Decision

VII. Recommendations



Chapter 8. Reachable Set Methods

I. Reformulation of a Differential Game

II. Methodology Development

III. Applications to Missile Guidance

IV. Conclusions


Chapter 9. Zero-Sum Dynamic Games

I. Introduction

II. Zero-Sum Static Games

III. Formulation of Zero-Sum Games

IV. The Theory of Zero-Sum Games

V. The Tank versus Gun Problem

VI. Continuous Models, Discounted Costs, and Other Extensions


Chapter 10. Singular Differential Game Techniques and Closed-Loop Strategies

I. Introduction

II. Linear-Quadratic Singular Differential Games with Bounds on Control

III. Numerical Techniques

IV. Closed-Loop Solutions

V. Conclusion and Remarks





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© Academic Press 1981
Academic Press
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About the Editor

C.T. Leonides

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