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Vestnik KRAUNC. Fiz.-Mat. Nauki, 2021, Volume 34, Number 1, Pages 57–62 (Mi vkam455)  

MATHEMATICS

On controllability and the pursuit problem for linear discrete systems

Sotvoldiev

Tashkent Institute of Finance

Abstract: In this paper, it is considered linear discrete control and pursuit game problems. Control vectors are subjected to total constraints those are a discrete analogue of the integral constraints. Necessary and sufficient conditions of solvability of the 0-controllability problem are obtained. The connection between 0-controllability and solvability of the pursuit problem is studied.

Keywords: pursuit, evader, control, 0-controllability, game, strategy, integral constraint, discrete constraint.

DOI: https://doi.org/10.26117/2079-6641-2021-34-1-57-62

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Full text: http://krasec.ru/sotvoldiyev-34/
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UDC: 517.977.5+517.978.4
MSC: Primary 49J15; Secondary 49N05
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Citation: Sotvoldiev, “On controllability and the pursuit problem for linear discrete systems”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 34:1 (2021), 57–62

Citation in format AMSBIB
\Bibitem{Sot21}
\by Sotvoldiev
\paper On controllability and the pursuit problem for linear discrete systems
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2021
\vol 34
\issue 1
\pages 57--62
\mathnet{http://mi.mathnet.ru/vkam455}
\crossref{https://doi.org/10.26117/2079-6641-2021-34-1-57-62}


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