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Linear Pursuit Differential Game under Phase Constraint on the State of Evader

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Listed:
  • Askar Rakhmanov
  • Gafurjan Ibragimov
  • Massimiliano Ferrara

Abstract

We consider a linear pursuit differential game of one pursuer and one evader. Controls of the pursuer and evader are subjected to integral and geometric constraints, respectively. In addition, phase constraint is imposed on the state of evader, whereas pursuer moves throughout the space. We say that pursuit is completed, if inclusion is satisfied at some , where and are states of pursuer and evader, respectively, and is terminal set. Conditions of completion of pursuit in the game from all initial points of players are obtained. Strategy of the pursuer is constructed so that the phase vector of the pursuer first is brought to a given set, and then pursuit is completed.

Suggested Citation

  • Askar Rakhmanov & Gafurjan Ibragimov & Massimiliano Ferrara, 2016. "Linear Pursuit Differential Game under Phase Constraint on the State of Evader," Discrete Dynamics in Nature and Society, Hindawi, vol. 2016, pages 1-6, October.
    • Handle: RePEc:hin:jnddns:1289456
    DOI: 10.1155/2016/1289456
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    References listed on IDEAS

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    1. Asqar Raxmonov & Gafurjan I. Ibragimov, 2014. "An Approach for Solving Discrete Game Problems with Total Constraints on Controls," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-6, April.
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