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Evasion Differential Game of Multiple Pursuers and a Single Evader with Geometric Constraints in ℓ 2

Author

Listed:
  • Gafurjan Ibragimov

    (Department of General and Exact Subjects, Tashkent State University of Economics, Tashkent 100006, Uzbekistan)

  • Marks Ruziboev

    (Faculty of Mathematics, University of Vienna, Oskar-Morgnstern Platz 1, 1090 Wien, Austria)

  • Ibroximjon Zaynabiddinov

    (Faculty of Physics-Mathematics, Andijan State University, Andijon 170100, Uzbekistan)

  • Bruno Antonio Pansera

    (Department of Law, Economics and Umane Sciences & Decisions_lab, University Mediterranea of Reggio Calabria, 89125 Reggio Calabria, Italy)

Abstract

We investigate a differential evasion game with multiple pursuers and an evader for the infinite systems of differential equations in ℓ 2 . The control functions of the players are subject to geometric constraints. The pursuers’ goal is to bring the state of at least one of the controlled systems to the origin of ℓ 2 , while the evader’s goal is to prevent this from happening in a finite interval of time. We derive a sufficient condition for evasion from any initial state and construct an evasion strategy for the evader.

Suggested Citation

  • Gafurjan Ibragimov & Marks Ruziboev & Ibroximjon Zaynabiddinov & Bruno Antonio Pansera, 2023. "Evasion Differential Game of Multiple Pursuers and a Single Evader with Geometric Constraints in ℓ 2," Games, MDPI, vol. 14(4), pages 1-6, June.
    • Handle: RePEc:gam:jgames:v:14:y:2023:i:4:p:52-:d:1182659
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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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