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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2018, Volume 28, Issue 1, Pages 111–118
DOI: https://doi.org/10.20537/vm180110
(Mi vuu624)
 

This article is cited in 8 scientific papers (total in 8 papers)

MATHEMATICS

A nonlinear pursuit problem with discrete control and incomplete information

K. A. Shchelchkov

Udmurt State University, ul. Universitetskaya, 1, Izhevsk, 426034, Russia
Full-text PDF (226 kB) Citations (8)
References:
Abstract: A two-person differential game is considered. The game is described by the system of differential equations $\dot x = f(x, u) + g(x, v)$, where $x \in \mathbb R^k$, $u \in U$, $v \in V$. The pursuer's admissible control set is a finite subset of phase space. The evader's admissible control set is a compact subset of phase space. The pursuer's purpose is to capture the evader, viz. system translation to any given neighborhood of zero. Sufficient conditions for the solvability of a capture problem in the piecewise open-loop strategies class are obtained. In addition, it is proved that the capture time tends to zero with the initial position approaching to zero. It happens independent of the evader's actions.
Keywords: differential game, pursuer, evader, nonlinear system.
Funding agency Grant number
Russian Foundation for Basic Research 17-38-50118-мол_нр
Received: 26.01.2018
Bibliographic databases:
Document Type: Article
UDC: 517.977
MSC: 49N70, 49N75
Language: Russian
Citation: K. A. Shchelchkov, “A nonlinear pursuit problem with discrete control and incomplete information”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 28:1 (2018), 111–118
Citation in format AMSBIB
\Bibitem{Shc18}
\by K.~A.~Shchelchkov
\paper A nonlinear pursuit problem with discrete control and incomplete information
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2018
\vol 28
\issue 1
\pages 111--118
\mathnet{http://mi.mathnet.ru/vuu624}
\crossref{https://doi.org/10.20537/vm180110}
\elib{https://elibrary.ru/item.asp?id=32697220}
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  • This publication is cited in the following 8 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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    Full-text PDF :254
    References:57
     
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