Differential games with many pursuers when evader moves on the surface of a cylinder

Kuchkarov, Atamurat Shamuratovich; Hasim, Risman Mat; Hassan, Musa Abu

doi:10.21914/anziamj.v53i0.3280

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Cited by 4 publications

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“…The papers [29,30] were devoted to differential games with state constraints. There are some differential games in R n where, for any behavior of the evader, the pursuit can be completed from some initial position.…”

Section: Introductionmentioning

confidence: 99%

Optimal Number of Pursuers in Differential Games on the 1-Skeleton of an Orthoplex

Азамов¹,

Ibragimov

Ibaydullaev

et al. 2021

Symmetry

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We study a differential game of many pursuers and one evader. All the players move only along the one-skeleton graph of an orthoplex of dimension d+1. It is assumed that the maximal speeds of the pursuers are less than the speed of the evader. By definition, the pursuit is completed if the position of a pursuer coincides with the position of the evader. Evasion is said to be possible in the game if the movements of players are started from some initial positions and the position of the evader never coincides with the position of any pursuer. We found the optimal number of pursuers in the game. The symmetry of the orthoplex plays an important role in the construction of the players’ strategies.

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Section: Introductionmentioning

confidence: 99%