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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2023, Volume 33, Issue 2, Pages 281–292
DOI: https://doi.org/10.35634/vm230207
(Mi vuu850)
 

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

MATHEMATICS

Two-time capture of coordinated evaders in a simple pursuit problem

N. N. Petrov

Udmurt State University, ul. Universitetskaya, 1, Izhevsk, 426034, Russia
Full-text PDF (183 kB) Citations (1)
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Abstract: In a finite-dimensional Euclidean space, the problem of pursuit of two evaders by a group of pursuers described by a system of the form
$$\dot z_{ij} = u_i - v,\quad u_i,v \in V,$$
is considered. It is assumed that all evaders use the same control. The pursuers use counterstrategies based on information about the initial positions and control history of the evaders. The set of admissible controls $V$ is a unit ball centered at zero, target sets are the origin of coordinates. The goal of the pursuers' group is to capture at least one evader by two pursuers. In terms of initial positions and game parameters a sufficient condition for the capture is obtained. In the study, the method of resolving functions is used as a basic one, which allows obtaining sufficient conditions for the solvability of the approach problem in some guaranteed time.
Keywords: differential game, group pursuit, pursuer, evader.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-01483-23-00
This research was funded by the Ministry of Science and Higher Education of the Russian Federation in the framework of state assignment No. 075-01483-23-00, project FEWS-2020-0010.
Received: 10.02.2023
Accepted: 20.04.2023
Bibliographic databases:
Document Type: Article
UDC: 517.977
MSC: 49N75, 49N70, 91A24
Language: Russian
Citation: N. N. Petrov, “Two-time capture of coordinated evaders in a simple pursuit problem”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 33:2 (2023), 281–292
Citation in format AMSBIB
\Bibitem{Pet23}
\by N.~N.~Petrov
\paper Two-time capture of coordinated evaders in a simple pursuit problem
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2023
\vol 33
\issue 2
\pages 281--292
\mathnet{http://mi.mathnet.ru/vuu850}
\crossref{https://doi.org/10.35634/vm230207}
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  • 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
    Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
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    Abstract page:130
    Full-text PDF :40
    References:20
     
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