Control and Dynamic Systems V17

Control and Dynamic Systems V17

Advances in Theory and Applications

1st Edition - April 28, 1981

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  • Editor: C.T. Leonides
  • eBook ISBN: 9780323150187

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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




Product details

  • No. of pages: 442
  • Language: English
  • Copyright: © Academic Press 1981
  • Published: April 28, 1981
  • Imprint: Academic Press
  • eBook ISBN: 9780323150187

About the Editor

C.T. Leonides

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