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

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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Publication Details

Journal
Lobachevskii Journal of Mathematics
Published
2025-03-01
DOI
https://doi.org/10.1134/s1995080225605296
Primary Topic
Guidance and Control Systems
Type
article
Field-Weighted Citation Impact
0.00
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article

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

Gafurjan Ibragimov, Zahriddin Muminov, M. Rakhmatov
Lobachevskii Journal of Mathematics
Guidance and Control Systems
article

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

Gafurjan Ibragimov, Zahriddin Muminov, M. Rakhmatov
article en

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.

Lobachevskii Journal of MathematicsVol. 46(3)
Tashkent State University of Economics (UZ)
Openalex Percentile: Top 77%
Guidance and Control Systems
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