IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i23p4448-d983694.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/23/4448/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/10/23/4448/
    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.
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    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. 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.
    3. 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.
    4. 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.
    5. Gafurjan Ibragimov & Azamat Holboyev & Tolanbay Ibaydullaev & Bruno Antonio Pansera, 2022. "Pursuit Differential Game with Slow Pursuers on the 1-Skeleton Graph of the Icosahedron," Mathematics, MDPI, vol. 10(9), pages 1-12, April.
    6. 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.
    7. 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.
    8. 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:jmathe:v:10:y:2022:i:23:p:4448-:d:983694. 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.