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

Mathematics

Bruno Antonio Pansera¹  Tolanbay Ibaydullaev²  Gafurjan Ibragimov³  Azamat Holboyev⁴ 

[1] Department of Law, Economics and Human Sciences & Decisions Lab, University Mediterranea of Reggio Calabria, 89124 Reggio Calabria, Italy;Department of Mathematics, Andijan State University, Andijan 170100, Uzbekistan;Department of Mathematics, Institute for Mathematical Research, Universiti Putra Malaysia, Serdang 43400, Selangor, Malaysia;Institute of Mathematics, Tashkent 100174, Uzbekistan;

关键词: graph of polyhedron;    differential game;    pursuer;    evader;    strategy;   

DOI  :  10.3390/math10091435

来源: DOAJ

【 摘 要 】

A differential game of m, $3\le m\le 6$, pursuers and one evader is studied on an icosahedron in ${\mathbb{R}}^3$. 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.

【 授权许可】

Unknown