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On a Fixed Duration Pursuit Differential Game with Geometric and Integral Constraints

Author

Listed:
  • Mehdi Salimi

    (Technische Universität Dresden)

  • Gafurjan I. Ibragimov

    (Universiti Putra Malaysia (UPM))

  • Stefan Siegmund

    (Technische Universität Dresden)

  • Somayeh Sharifi

    (Islamic Azad University)

Abstract

In this paper we investigate a differential game in which countably many dynamical objects pursue a single one. All the players perform simple motions. The duration of the game is fixed. The controls of a group of pursuers are subject to integral constraints, and the controls of the other pursuers and the evader are subject to geometric constraints. The payoff of the game is the distance between the evader and the closest pursuer when the game is terminated. We construct optimal strategies for players and find the value of the game.

Suggested Citation

  • Mehdi Salimi & Gafurjan I. Ibragimov & Stefan Siegmund & Somayeh Sharifi, 2016. "On a Fixed Duration Pursuit Differential Game with Geometric and Integral Constraints," Dynamic Games and Applications, Springer, vol. 6(3), pages 409-425, September.
    • Handle: RePEc:spr:dyngam:v:6:y:2016:i:3:d:10.1007_s13235-015-0161-3
    DOI: 10.1007/s13235-015-0161-3
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    References listed on IDEAS

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    1. Ibragimov, Gafurjan I. & Salimi, Mehdi & Amini, Massoud, 2012. "Evasion from many pursuers in simple motion differential game with integral constraints," European Journal of Operational Research, Elsevier, vol. 218(2), pages 505-511.
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