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Simple Motion Evasion Differential Game of Many Pursuers and One Evader with Integral Constraints on Control Functions of Players

Author

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  • Gafurjan Ibragimov
  • Yusra Salleh

Abstract

We consider an evasion differential game of many pursuers and one evader with integral constraints in the plane. The game is described by simple equations. Each component of the control functions of players is subjected to integral constraint. Evasion is said to be possible if the state of the evader does not coincide with that of any pursuer. Strategy of the evader is constructed based on controls of the pursuers with lag. A sufficient condition of evasion from many pursuers is obtained and an illustrative example is provided.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jnljam:748096
    DOI: 10.1155/2012/748096
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    Cited by:

    1. 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.
    2. 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.
    3. 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.

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