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Pursuit-Evasion Differential Game with Many Inertial Players

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  • Gafurjan I. Ibragimov
  • Mehdi Salimi

Abstract

We consider pursuit-evasion differential game of countable number inertial players in Hilbert space with integral constraints on the control functions of players. Duration of the game is fixed. The payoff functional is the greatest lower bound of distances between the pursuers and evader when the game is terminated. The pursuers try to minimize the functional, and the evader tries to maximize it. In this paper, we find the value of the game and construct optimal strategies of the players.

Suggested Citation

  • Gafurjan I. Ibragimov & Mehdi Salimi, 2009. "Pursuit-Evasion Differential Game with Many Inertial Players," Mathematical Problems in Engineering, Hindawi, vol. 2009, pages 1-15, September.
    • Handle: RePEc:hin:jnlmpe:653723
    DOI: 10.1155/2009/653723
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    Cited by:

    1. Jewaidu Rilwan & Pasquale Fotia & Massimiliano Ferrara, 2023. "On game value of a differential game problem with Grönwall-type constraints on players control functions," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 46(1), pages 319-333, June.

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