CONTRIBUTIONS TO THE THEORY AND APPLICATIONS OF PURSUIT-EVASION GAMES.

Abstract

Two phases of pursuit-evasion games are considered. The first deals with the problem of completion of a class of pursuit-evasion games. The other is concerned with the computational aspects of nonlinear differential games. In the first part, necessary and sufficient conditions for completion of a game are derived. The problem of existence of the optimal completion time and optimal strategies are analyzed. Also, methods used in obtaining solution are developed. Several numerical examples are given to clarify the presentation. In the second part, a detailed comparison between control problems and differential games is given. The difficulties in extending game problems are also discussed. A differential game between a maneuverable ballistic re-entry vehicle and an interceptor is presented. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1970
Accession Number
AD0708477

Entities

People

  • Ho-sen Lin

Organizations

  • University of California, Los Angeles

Tags

Readers

  • Operations Research
  • Theoretical Analysis.