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Evasion Differential Game of Multiple Pursuers and One Evader for an Infinite System of Binary Differential Equations

Author

Listed:
  • Gafurjan Ibragimov

    (Department of Digital Economics and Agrotechnologies, University of Digital Economics and Agrotechnologies, Tashkent 100022, Uzbekistan
    These authors contributed equally to this work.)

  • Ruzakhon Kazimirova

    (Department of Mathematics, Universiti Putra Malaysia, Serdang 43400, Malaysia
    These authors contributed equally to this work.)

  • Bruno Antonio Pansera

    (Department of Law, Economics and Human Sciences and Decisions Lab, University Mediterranea of Reggio Calabria, Via dell’Universitá 25, I-89124 Reggio Calabria, Italy
    These authors contributed equally to this work.)

Abstract

We study a differential evasion game of multiple pursuers and an evader governed by several infinite systems of two-block differential equations in the Hilbert space l 2 . Geometric constraints are imposed on the players’ control functions. If the state of a controlled system falls into the origin of the space l 2 at some finite time, then pursuit is said to be completed in a differential game. The aim of the pursuers is to transfer the state of at least one of the systems into the origin of the space l 2 , while the purpose of the evader is to prevent it. A sufficient evasion condition is obtained from any of the players’ initial states and an evasion strategy is constructed for the evader.

Suggested Citation

  • Gafurjan Ibragimov & Ruzakhon Kazimirova & Bruno Antonio Pansera, 2022. "Evasion Differential Game of Multiple Pursuers and One Evader for an Infinite System of Binary Differential Equations," Mathematics, MDPI, vol. 10(23), pages 1-8, November.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:23:p:4448-:d:983694
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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.
    2. 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.
    3. 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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    Citations

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    Cited by:

    1. Bruno Antonio Pansera & Massimiliano Ferrara & Luca Guerrini & Tiziana Ciano, 2023. "Preface to the Special Issue on “Differential Games and Its Applications”," Mathematics, MDPI, vol. 11(13), pages 1-4, July.

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