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Pursuit Differential Game with Slow Pursuers on the 1-Skeleton Graph of the Icosahedron

Author

Listed:
  • Gafurjan Ibragimov

    (Department of Mathematics, Institute for Mathematical Research, Universiti Putra Malaysia, Serdang 43400, Selangor, Malaysia)

  • Azamat Holboyev

    (Institute of Mathematics, Tashkent 100174, Uzbekistan)

  • Tolanbay Ibaydullaev

    (Department of Mathematics, Andijan State University, Andijan 170100, Uzbekistan)

  • Bruno Antonio Pansera

    (Department of Law, Economics and Human Sciences & Decisions Lab, University Mediterranea of Reggio Calabria, 89124 Reggio Calabria, Italy)

Abstract

A differential game of m , 3 ≤ m ≤ 6 , pursuers and one evader is studied on an icosahedron in R 3 . All the players move only along the 1-skeleton graph of the icosahedron when the maximal speeds of the pursuers are less than the speed of the evader. Pursuit is said to be completed if the state of a pursuer coincides with the state of evader at some time. We give a sufficient condition of the completion of pursuit in the game.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:9:p:1435-:d:801132
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    References listed on IDEAS

    as
    1. Gafurjan Ibragimov & Massimiliano Ferrara & Atamurat Kuchkarov & Bruno Antonio Pansera, 2018. "Simple Motion Evasion Differential Game of Many Pursuers and Evaders with Integral Constraints," Dynamic Games and Applications, Springer, vol. 8(2), pages 352-378, June.
    2. Wei Sun & Panagiotis Tsiotras & Anthony J. Yezzi, 2019. "Correction to: Multiplayer Pursuit-Evasion Games in Three-Dimensional Flow Fields," Dynamic Games and Applications, Springer, vol. 9(4), pages 1208-1208, December.
    3. Wei Sun & Panagiotis Tsiotras & Anthony J. Yezzi, 2019. "Multiplayer Pursuit-Evasion Games in Three-Dimensional Flow Fields," Dynamic Games and Applications, Springer, vol. 9(4), pages 1188-1207, December.
    4. 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.
    Full references (including those not matched with items on IDEAS)

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