Pursuit and Evasion Linear Differential Game Problems with Generalized Integral Constraints

Autor: Bashir Mai Umar, Jewaidu Rilwan, Maggie Aphane, Kanikar Muangchoo
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Symmetry, Vol 16, Iss 5, p 513 (2024)
Druh dokumentu: article
ISSN: 2073-8994
DOI: 10.3390/sym16050513
Popis: In this paper, we study pursuit and evasion differential game problems of one pursuer/one evader and many pursuers/one evader, respectively, in the space Rn. In both problems, we obtain sufficient conditions that guarantee the completion of a pursuit and an evasion. We construct the players’ optimal strategies in both problems, and we estimate the possible distance that an evader can preserve from pursuers. Lastly, we illustrate our results via some numerical examples.
Databáze: Directory of Open Access Journals
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