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Guaranteed Pursuit and Evasion Times in a Differential Game for an Infinite System in Hilbert Space l 2

Author

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  • Gafurjan Ibragimov

    (Department of General and Exact Subjects, Tashkent State University of Economics, Tashkent 100006, Uzbekistan
    These authors contributed equally to this work.)

  • Xolmurodjon Qushaqov

    (Department of Mathematics, Andijan State University, Andijan 170100, Uzbekistan
    These authors contributed equally to this work.)

  • Akbarjon Muxammadjonov

    (Department of Mathematics, Andijan State University, Andijan 170100, Uzbekistan
    These authors contributed equally to this work.)

  • Bruno Antonio Pansera

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

Abstract

The present paper is devoted to studying a pursuit differential game described by an infinite system of binary differential equations in Hilbert space l 2 . The control parameters of the players are subject to geometric constraints. The pursuer tries to bring the state of the system to the origin of the Hilbert space l 2 , and oppositely, the evader tries to avoid it. Our aim is to construct a strategy for the pursuer to complete a differential game and an evasion control. We obtain an equation for the guaranteed pursuit and evasion times.

Suggested Citation

  • Gafurjan Ibragimov & Xolmurodjon Qushaqov & Akbarjon Muxammadjonov & Bruno Antonio Pansera, 2023. "Guaranteed Pursuit and Evasion Times in a Differential Game for an Infinite System in Hilbert Space l 2," Mathematics, MDPI, vol. 11(12), pages 1-11, June.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:12:p:2662-:d:1168636
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    References listed on IDEAS

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    1. Mehdi Salimi & Massimiliano Ferrara, 2019. "Differential game of optimal pursuit of one evader by many pursuers," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(2), pages 481-490, June.
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