On some new results in a pursuit differential game with many pursuers and one evader

Gafurjan Ibragimov, Omongul Egamberganova, Idham Arif Alias, Shravan Luckraz

Research output: Journal PublicationArticlepeer-review

2 Citations (Scopus)

Abstract

We study a simple motion differential game with many pursuers and one evader with equal capabilities in Rn. The control functions of the players are subject to the Grönwall-type constraints. If the state of the evader coincides with the state of a pursuer, then the game is considered completed. If the state of the evader does not coincide with the state of any pursuer at all times, then we say that evasion is possible. We show that pursuit can be completed if a condition on the convex hull of the initial states of the pursuers is satisfied.

Original languageEnglish
Pages (from-to)6581-6589
Number of pages9
JournalAIMS Mathematics
Volume8
Issue number3
DOIs
Publication statusPublished - 2023
Externally publishedYes

Keywords

  • Grönwall constraints
  • differential game
  • evader
  • pursuer
  • strategy

ASJC Scopus subject areas

  • General Mathematics

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