Differential LG - Game of Many Participant Players

N.S.  Ruzuddinov; S.A.  Gafforov; S.  Ruzuddinov

doi:10.47494/mesb.2021.16.724

(1) N.S. Ruzuddinov Kazakh National University named Al-Farabi.
Kazakhstan
(2) S.A. Gafforov Center for the Development of Professional Qualifications of Medical Workers of the Ministry of Health of the Republic of Uzbekistan.
Uzbekistan
(3) S. Ruzuddinov Kazakh National University named Al-Farabi.
Uzbekistan
(*) Corresponding Author

DOI:

https://doi.org/10.47494/mesb.2021.16.724

Keywords:

Differential game, evader, pursuer, strategy, geometric representation, integral constraint, attainability domain

Abstract

In this article, we have considered a simple motion differential game of pursuers and one evader in. Here controls of the pursuers are subjected to linear constraints which is the generalization of both integral and geometrical constraints, and control of the evader is subjected to a geometrical constraint. To solve a pursuit problem, the attainability domain of each pursuer has been constructed and therefore, necessary and sufficient conditions have been obtained by intersection of them.

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