DIFFERENTIAL GAMES AND OPTIMAL PURSUITEVASION STRATEGIES

Abstract

In this report, we show that variational techniques can be applied to solve games with differential constraints. Conditions for capture and for optimality are derived for a class of optimal pursuit-evasion problems. Results are used to demonstrate that the well known 'proportional navigation law' is actually an optimal intercept strategy.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Nov 04, 1964
Accession Number
AD0609772

Entities

People

  • A. E. Bryson Jr.
  • S. Baron
  • Yu-chi Ho

Organizations

  • Harvard University

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Boundary Value Problems
  • Calculus
  • Contracts
  • Engineering
  • Equations
  • Equations Of Motion
  • Guidance
  • Hard Copy
  • Line Of Sight
  • Military Research
  • Navigation
  • Proportional Navigation
  • Scientific Research
  • Targets
  • Universities

Fields of Study

  • Mathematics

Readers

  • Game Theory.
  • Operations Research