Multi-Cumulant and Non-Inferior Strategies for Multi-Player Pursuit-Evasion (PREPRINT)

Abstract

The paper presents an extension of cost-cumulant control theory over a finite horizon for a class of two-team pursuit-evasion games wherein the evolution of the states of the game in response to decision strategies selected by pursuit and evasion teams from non-inferior sets of admissible controls is described by stochastic linear differential equations and integral quadratic cost. Since the sum of the aggregate cost functions of two teams is equal to zero, the amount that one team gains is equal to the amount of the other team loses. Both cooperation within each team and competition between the teams presumably exist. A direct dynamic programming approach for the Mayer optimization problem is used to solve for a multi-cumulant non-inferior based solution when the members in each team measure the states and minimize the first k cumulants of the standard integral-quadratic cost associated with this special class of multi-player pursuit-evasion games.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2007
Accession Number
ADA468453

Entities

People

  • Khan D. Pham
  • Lawrence Robertson
  • Seth Lacy

Organizations

  • Air Force Research Laboratory

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Air Force Research Laboratories
  • Computer Programming
  • Control Theory
  • Differential Equations
  • Dynamic Programming
  • Equations
  • Equations Of Motion
  • Hilbert Space
  • Integrals
  • Linear Differential Equations
  • Military Research
  • Optimization
  • Partial Differential Equations
  • Spacecraft
  • Standards
  • Statistics

Readers

  • Agent-Based Social Robotics and Mobile-Assisted Learning in Virtual Environments.
  • Calculus or Mathematical Analysis
  • Operations Research