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

Gafurjan IbragimovDepartment of Mathematics, Institute for Mathematical Research, Universiti Putra Malaysia, Serdang 43400, Selangor, MalaysiaA. G. HolboyevTolanbay IbaydullaevDepartment of Mathematics, Andijan State University, Andijan 170100, UzbekistanBruno Antonio PanseraDepartment of Law, Economics and Human Sciences & Decisions Lab, University Mediterranea of Reggio Calabria, 89124 Reggio Calabria, Italy
Mathematicsjournal2022en
ABI

Аннотация

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.

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