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

Gafurjan IbragimovDepartment of Higher and Applied Mathematics, Tashkent State University of Economics, 100006, Tashkent, UzbekistanZahriddin MuminovDepartment of Higher and Applied Mathematics, Tashkent State University of Economics, 100006, Tashkent, UzbekistanM. RakhmatovDepartment of Higher and Applied Mathematics, Tashkent State University of Economics, 100006, Tashkent, Uzbekistan
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Аннотация

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.

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