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Differential Game for an Infinite System of Two-Block Differential Equations

Author

Listed:
  • Gafurjan Ibragimov

    (Department of Mathematics, Universiti Putra Malaysia, Serdang 43400, Malaysia)

  • Sarvinoz Kuchkarova

    (National University of Uzbekistan, University Street, Almazar District, Tashkent 1000174, Uzbekistan)

  • Risman Mat Hasim

    (Department of Mathematics, Universiti Putra Malaysia, Serdang 43400, Malaysia)

  • Bruno Antonio Pansera

    (Department of Law and Economics and Human Sciences, University “Mediterranea” of Reggio Calabria, Via dell’Universitá, 25, 89124 Reggio Calabria, Italy)

Abstract

We present a pursuit differential game for an infinite system of two-block differential equations in Hilbert space l 2 . The pursuer and evader control functions are subject to integral constraints. The differential game is said to be completed if the state of the system falls into the origin of l 2 at some finite time. The purpose of the pursuer is to bring the state of the controlled system to the origin of the space l 2 , whereas the evader’s aim is to prevent this. For the optimal pursuit time, we obtain an equation and construct the optimal strategies for the players.

Suggested Citation

  • Gafurjan Ibragimov & Sarvinoz Kuchkarova & Risman Mat Hasim & Bruno Antonio Pansera, 2022. "Differential Game for an Infinite System of Two-Block Differential Equations," Mathematics, MDPI, vol. 10(14), pages 1-11, July.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:14:p:2541-:d:868187
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    References listed on IDEAS

    as
    1. Idham Arif Alias & Gafurjan Ibragimov & Askar Rakhmanov, 2017. "Evasion Differential Game of Infinitely Many Evaders from Infinitely Many Pursuers in Hilbert Space," Dynamic Games and Applications, Springer, vol. 7(3), pages 347-359, September.
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