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On the Theory of Position Pursuit Differential Games

Abstract

The paper is devoted to the study of a position pursuit problem described by first-order linear differential equations. Sufficient conditions of the possibility of pursuit termination for such controllable systems are obtained. For finding control values of the pursuer at each time point, values of the phase vector at discrete moments of time are used.

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Author information

Correspondence to M. Sh. Mamatov.

Additional information

Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 144, Proceedings of the Conference “Problems of Modern Topology and Its Applications” (May 11–12, 2017), Tashkent, Uzbekistan, 2018.

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Cite this article

Mamatov, M.S., Sobirov, K.K. On the Theory of Position Pursuit Differential Games. J Math Sci 245, 332–340 (2020). https://doi.org/10.1007/s10958-020-04694-4

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Keywords and phrases

  • pursuer
  • evader
  • pursuit control
  • evasion control
  • positional control

AMS Subject Classification

  • 35K25
  • 35K70
  • 35R35