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Abstract <p>In this article, it is considered multi-pursuer and single-evader pursuit differential games on the edge graph of a truncated tetrahedron. If the state of a pursuer coincides with the state of the evader, then pursuit is completed. The goal of the pursuers is to complete the pursuit, while the purpose of the evader is the opposite. We construct pursuers’ strategies to ensure the completion of the pursuit from players’ arbitrary initial positions.</p>

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Pursuit Differential Games on the 1-Skeleton of the Truncated Tetrahedron

  • 期刊论文

  • 发表日期：

    2025年3月1日

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  • G. I. Ibragimov,
  • Z. I. Muminov,
  • M. Rakhmatov

摘要

Abstract

In this article, it is considered multi-pursuer and single-evader pursuit differential games on the edge graph of a truncated tetrahedron. If the state of a pursuer coincides with the state of the evader, then pursuit is completed. The goal of the pursuers is to complete the pursuit, while the purpose of the evader is the opposite. We construct pursuers’ strategies to ensure the completion of the pursuit from players’ arbitrary initial positions.