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Matematicheskaya Teoriya Igr i Ee Prilozheniya, 2022, Volume 14, Issue 4, Pages 81–95 (Mi mgta314)  

This article is cited in 1 scientific paper (total in 1 paper)

Simple pursuit problem with phase restrictions of two coordinated evaders on time scales

Nikolai N. Petrov, Elena S. Mozhegova

Udmurt State University
Full-text PDF (390 kB) Citations (1)
References:
Abstract: In a finite-dimensional Euclidean space, the problem of a simple pursuit by a group of pursuers of two evaders is considered on a given time scale. It is assumed that all evaders use the same control and do not leave the convex polyhedral set. The pursuers use counter-strategies based on information about the initial positions and control history of the evaders. The set of admissible controls for each of the participants is a unit ball centered at zero, the target sets are the origin. The goal of the pursuers' group is the capture by two pursuers of at least one evader or the capture of two evaders. In terms of the initial positions and game parameters a sufficient capture condition has been obtained. The study uses the method of resolving functions as a basic one, which allows to obtain sufficient conditions for the solvability of the approach problem in some guaranteed time.
Keywords: differential game, group pursuit, evader, pursuer, time scale.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-01265-22-00, проект FEWS-2020-0010
Russian Foundation for Basic Research 20-01-00293
Received: 31.05.2022
Revised: 23.10.2022
Accepted: 12.12.2022
Bibliographic databases:
Document Type: Article
UDC: 517.977
BBC: 22.35
Language: Russian
Citation: Nikolai N. Petrov, Elena S. Mozhegova, “Simple pursuit problem with phase restrictions of two coordinated evaders on time scales”, Mat. Teor. Igr Pril., 14:4 (2022), 81–95
Citation in format AMSBIB
\Bibitem{PetMoz22}
\by Nikolai~N.~Petrov, Elena~S.~Mozhegova
\paper Simple pursuit problem with phase restrictions of two coordinated evaders on time scales
\jour Mat. Teor. Igr Pril.
\yr 2022
\vol 14
\issue 4
\pages 81--95
\mathnet{http://mi.mathnet.ru/mgta314}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4526206}
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  • https://www.mathnet.ru/eng/mgta/v14/i4/p81
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическая теория игр и её приложения
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    Full-text PDF :49
    References:26
     
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