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Multi-Pursuer and One-Evader Evasion Differential Game with Integral Constraints for an Infinite System of Binary Differential Equations

Author

Listed:
  • Ruzakhon Kazimirova

    (Department of Mathematics and Statistics, Universiti Putra Malaysia, Serdang 43400, Malaysia
    Department of Mathematics, Andijan State University, Andijan 170100, Uzbekistan
    The authors contributed equally to this work.)

  • Gafurjan Ibragimov

    (V.I.Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent 100174, Uzbekistan
    Department of Higher and Applied Mathematics, Tashkent State University of Economics, Tashkent 100066, Uzbekistan
    The 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
    The authors contributed equally to this work.)

  • Abdulla Ibragimov

    (The Banking and Finance Academy of the Republic of Uzbekistan, Tashkent 100000, Uzbekistan
    The authors contributed equally to this work.)

Abstract

In the Hilbert space l 2 , a differential evasion game involving multiple pursuers is considered. Integral constraints are imposed on player control functions. The pursuers are tasked with bringing the state of a system back to the origin of l 2 , while the evader simultaneously tries to avoid it. It is assumed that the energy of the evader is greater than the total energy of the pursuers. In this paper, we contribute to the solution of the differential evasion game with multiple pursuers by building an exact strategy for the evader.

Suggested Citation

  • Ruzakhon Kazimirova & Gafurjan Ibragimov & Bruno Antonio Pansera & Abdulla Ibragimov, 2024. "Multi-Pursuer and One-Evader Evasion Differential Game with Integral Constraints for an Infinite System of Binary Differential Equations," Mathematics, MDPI, vol. 12(8), pages 1-10, April.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:8:p:1183-:d:1375999
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    References listed on IDEAS

    as
    1. Gafurjan Ibragimov & Yusra Salleh, 2012. "Simple Motion Evasion Differential Game of Many Pursuers and One Evader with Integral Constraints on Control Functions of Players," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-10, October.
    2. 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.
    3. Aleksandr I. Blagodatskikh & Nikolai N. Petrov, 2019. "Simultaneous Multiple Capture of Rigidly Coordinated Evaders," Dynamic Games and Applications, Springer, vol. 9(3), pages 594-613, September.
    4. Alexander Moll & Meir Pachter & Zachariah Fuchs, 2023. "Pure Pursuit with an Effector," Dynamic Games and Applications, Springer, vol. 13(3), pages 961-979, September.
    Full references (including those not matched with items on IDEAS)

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