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Evasion from Several Pursuers in the Game with Coordinate-wise Integral Constraints

Author

Listed:
  • Gafurjan Ibragimov

    (Universiti Putra Malaysia
    University Mediterranea of Reggio Calabria)

  • Yusra Salleh

    (Universiti Putra Malaysia)

  • Idham Arif Alias

    (Universiti Putra Malaysia)

  • Bruno Antonio Pansera

    (University Mediterranea of Reggio Calabria)

  • Massimiliano Ferrara

    (University Mediterranea of Reggio Calabria
    Strategy and Entrepreneurship Bocconi University - Department of Management and Technology)

Abstract

We consider a simple motion evasion differential game of one evader from many pursuers in $${\mathbb {R}}^n$$ R n . The control functions of players are subjected to coordinate-wise integral constraints. If the position of the evader never coincides with the position of any pursuer, then we say that evasion is possible. In the present paper we obtain sufficient conditions of evasion. For any positive number $$\varepsilon $$ ε , a strategy for the evader is constructed, which guarantees the evasion in $$\varepsilon $$ ε -neighborhood of a coordinate axis.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:dyngam:v:13:y:2023:i:3:d:10.1007_s13235-022-00475-7
    DOI: 10.1007/s13235-022-00475-7
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    References listed on IDEAS

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    1. Ibragimov, Gafurjan I. & Salimi, Mehdi & Amini, Massoud, 2012. "Evasion from many pursuers in simple motion differential game with integral constraints," European Journal of Operational Research, Elsevier, vol. 218(2), pages 505-511.
    2. Gafurjan Ibragimov & Yusra Salleh, 2012. "Simple Motion Evasion Differential Game of Many Pursuers and One Evader with Integral Constraints on Control Functions of Players," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-10, October.
    3. 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.
    4. Sergey S. Kumkov & Stéphane Ménec & Valerii S. Patsko, 2017. "Zero-Sum Pursuit-Evasion Differential Games with Many Objects: Survey of Publications," Dynamic Games and Applications, Springer, vol. 7(4), pages 609-633, December.
    5. 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.
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