Linear Pursuit-Evasion Games and the Isotropic Rocket

Abstract

The document is primarily a study of linear pursuit-evasion games, although several concepts and results are presented that apply to any zero-sum two-person differential game. The direct method of Pontryagin, specifically dealing with linear pursuit-evasion games, is presented and discussed. It is shown how it applies to several information structures. An interesting question is that of the optimality of the strategies generated. It turns out to be closely related to the continuous limit of the discretized information structure used, and of the induced epsilon-strategies.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1970
Accession Number
AD0885269

Entities

People

  • Pierre Bernhard

Organizations

  • Stanford University

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Calculus
  • Calculus Of Variations
  • Computational Science
  • Control Systems
  • Differential Equations
  • Discontinuities
  • Equations
  • Equations Of Motion
  • Geometric Forms
  • Geometry
  • Government (Foreign)
  • Lines (Geometry)
  • Numerical Integration
  • Partial Differential Equations
  • Three Dimensional
  • Two Dimensional

Readers

  • Game Theory.
  • Structural Dynamics.
  • Theoretical Analysis.