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Multiple Capture of Given Number of Evaders in Linear Recurrent Differential Games

Author

Listed:
  • Nikolay N. Petrov

    (Udmurt State University)

  • Nadezhda A. Solov’eva

    (Udmurt State University)

Abstract

The article deals with the linear pursuit problem with n pursuers and m evaders with equal opportunities for all participants and geometric restrictions on the control of players. The evaders use program strategies, and each pursuer catches no more than one evader. The goal of the pursuers is to catch a given number of evaders, and each evader needs to be caught no less than a certain number of pursuers. In this paper, sufficient conditions are obtained for multiple capture of a given number of evaders.

Suggested Citation

  • Nikolay N. Petrov & Nadezhda A. Solov’eva, 2019. "Multiple Capture of Given Number of Evaders in Linear Recurrent Differential Games," Journal of Optimization Theory and Applications, Springer, vol. 182(1), pages 417-429, July.
    • Handle: RePEc:spr:joptap:v:182:y:2019:i:1:d:10.1007_s10957-019-01526-7
    DOI: 10.1007/s10957-019-01526-7
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    References listed on IDEAS

    as
    1. Sergey Ganebny & Sergey Kumkov & Stéphane Ménec & Valerii Patsko, 2012. "Model Problem in a Line with Two Pursuers and One Evader," Dynamic Games and Applications, Springer, vol. 2(2), pages 228-257, June.
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    Cited by:

    1. Nikolay N. Petrov, 2023. "On the Problem of Pursuing Two Coordinated Evaders in Linear Recurrent Differential Games," Journal of Optimization Theory and Applications, Springer, vol. 197(3), pages 1011-1023, June.

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