PURSUIT-EVASION DIFFERENTIAL GAMES

Abstract

Differential game theory is applied to several classes of pursuit- evasion problems. For these differential games the dynamics of the participants are described by linear nonstationary differential equations. One class of differential games that was formulated and studied is the differential game, where the evader has to out maneuver a pursuer, if it is to strike the target that the pursuer is defending. This differential game will be called the differential endgame. The differential endgame's payoff functional is the square of the terminal engagement miss distance weighted against the difference of the participants' control energies, spent during their respective flight times. The evader's target constraints are the position coordinates of the target and the evader's kinetic energy as it strikes the target.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1968
Accession Number
AD0684542

Entities

People

  • John B. Berger

Organizations

  • University of Washington

Tags

Communities of Interest

  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Boundaries
  • Boundary Value Problems
  • Calculus
  • Calculus Of Variations
  • Computers
  • Control Systems
  • Differential Equations
  • Digital Computers
  • Dynamics
  • Equations
  • Game Theory
  • Kinetic Energy
  • Miss Distance
  • Optimization
  • Theses
  • Three Dimensional

Readers

  • Approximation Theory.
  • Game Theory.