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On a Linear Differential Game in the Hilbert Space ℓ 2

Author

Listed:
  • Marks Ruziboev

    (School of Engineering, Central Asian University, Milliy Bog St 264, Tashkent 111221, Uzbekistan
    Faculty of Mathematics, University of Vienna, Oskar-Morgenstern Platz 1, 1090 Vienna, Austria
    These authors contributed equally to this work.)

  • Gafurjan Ibragimov

    (V.I.Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent 100174, Uzbekistan
    Department of Applied Mathematics, Tashkent State University of Economics, Tashkent 100006, Uzbekistan
    These authors contributed equally to this work.)

  • Khudoyor Mamayusupov

    (Department of Mathematics, New Uzbekistan University, Mustaqillik ave.54, Tashkent 100007, Uzbekistan
    These authors contributed equally to this work.)

  • Adkham Khaitmetov

    (Department of Mathematics and Information Technologies, Fiscal Institute under the Tax Committee, Tashkent 100173, Uzbekistan
    These authors contributed equally to this work.)

  • Bruno Antonio Pansera

    (Department of Law, Economics and Human Sciences, University Mediterranea of Reggio Calabria, 89124 Reggio Calabria, Italy
    These authors contributed equally to this work.)

Abstract

Two player pursuit evasion differential game and time optimal zero control problem in ℓ2 are considered. Optimal control for the corresponding zero control problem is found. A strategy for the pursuer that guarantees the solution for the pursuit problem is constructed.

Suggested Citation

  • Marks Ruziboev & Gafurjan Ibragimov & Khudoyor Mamayusupov & Adkham Khaitmetov & Bruno Antonio Pansera, 2023. "On a Linear Differential Game in the Hilbert Space ℓ 2," Mathematics, MDPI, vol. 11(24), pages 1-9, December.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:24:p:4987-:d:1301919
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    References listed on IDEAS

    as
    1. Gafurjan Ibragimov & Massimiliano Ferrara & Marks Ruziboev & Bruno Antonio Pansera, 2021. "Linear evasion differential game of one evader and several pursuers with integral constraints," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(3), pages 729-750, September.
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