IDEAS home Printed from https://ideas.repec.org/a/gam/jgames/v14y2023i4p52-d1182659.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2073-4336/14/4/52/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2073-4336/14/4/52/
    Download Restriction: no
    ---><---

    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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Gafurjan Ibragimov & Ikrombek Yusupov & Massimiliano Ferrara, 2023. "Optimal Pursuit Game of Two Pursuers and One Evader with the Grönwall-Type Constraints on Controls," Mathematics, MDPI, vol. 11(2), pages 1-10, January.
    2. 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.
    3. Gafurjan Ibragimov & Yusra Salleh & Idham Arif Alias & Bruno Antonio Pansera & Massimiliano Ferrara, 2023. "Evasion from Several Pursuers in the Game with Coordinate-wise Integral Constraints," Dynamic Games and Applications, Springer, vol. 13(3), pages 819-842, September.
    4. Marks Ruziboev & Gafurjan Ibragimov & Khudoyor Mamayusupov & Adkham Khaitmetov & Bruno Antonio Pansera, 2023. "On a Linear Differential Game in the Hilbert Space ℓ 2," Mathematics, MDPI, vol. 11(24), pages 1-9, December.
    5. Bahrom Samatov & Gafurjan Ibragimov & Bahodirjon Juraev & Massimiliano Ferrara, 2023. "On the Lifeline Game of the Inertial Players with Integral and Geometric Constraints," Mathematics, MDPI, vol. 11(19), pages 1-13, October.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jgames:v:14:y:2023:i:4:p:52-:d:1182659. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.