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<p>In Euclidean space, a&#xa0;treatment is given of the problem of conflict interaction of a&#xa0;group of pursuers and a&#xa0;group of evaders, under the condition that the motions of all participants are simple, the opportunities of all participants are equal and the evaders use the same control. The pursuers employ nonanticipating strategies using information on the initial positions and the prehistory of the control of evaders. The set of admissible controls of players is a&#xa0;sphere of unit radius with center at the origin of coordinates, and the goal sets are the origin. The goal of the pursuers is the capture of at least one evader by two pursuers. Sufficient conditions for solvability of the pursuit-evasion problem are presented.</p>

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Twofold capture of coordinated evaders in the problem of simple group pursuit

  • 期刊论文

  • 发表日期：

    2025年12月15日

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  • Nikolai N. Petrov

摘要

In Euclidean space, a treatment is given of the problem of conflict interaction of a group of pursuers and a group of evaders, under the condition that the motions of all participants are simple, the opportunities of all participants are equal and the evaders use the same control. The pursuers employ nonanticipating strategies using information on the initial positions and the prehistory of the control of evaders. The set of admissible controls of players is a sphere of unit radius with center at the origin of coordinates, and the goal sets are the origin. The goal of the pursuers is the capture of at least one evader by two pursuers. Sufficient conditions for solvability of the pursuit-evasion problem are presented.