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Journal of Optimization Theory and Applications

, Volume 55, Issue 2, pp 303–311 | Cite as

A differential game of approach with two pursuers and one evader

  • A. G. Pashkov
  • S. D. Terekhov
Contributed Papers

Abstract

A differential game of approach with one evader and two pursuers with a nonconvex payoff function is considered. The duration of the game is fixed. The payoff functional is the distance between the object being pursued and the pursuer closest to it when the game terminates. An explicit form of the game value is found for all possible game positions. The paper is closely related to Refs. 1–12.

Key Words

Value function programmed maximin function fundamental equation singular surfaces 

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Copyright information

© Plenum Publishing Corporation 1987

Authors and Affiliations

  • A. G. Pashkov
    • 1
  • S. D. Terekhov
    • 1
  1. 1.Institute for Problems of MechanicsUSSR Academy of SciencesMoscowUSSR

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