Pursuit Differential Game with Slow Pursuers on the 1-Skeleton Graph of the Icosahedron

Autor: Gafurjan Ibragimov, Azamat Holboyev, Tolanbay Ibaydullaev, Bruno Antonio Pansera
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Mathematics, Vol 10, Iss 9, p 1435 (2022)
Druh dokumentu: article
ISSN: 2227-7390
DOI: 10.3390/math10091435
Popis: A differential game of m, 3≤m≤6, pursuers and one evader is studied on an icosahedron in R3. All the players move only along the 1-skeleton graph of the icosahedron when the maximal speeds of the pursuers are less than the speed of the evader. Pursuit is said to be completed if the state of a pursuer coincides with the state of evader at some time. We give a sufficient condition of the completion of pursuit in the game.
Databáze: Directory of Open Access Journals
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