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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2023, Volume 514, Number 1, Pages 82–88
DOI: https://doi.org/10.31857/S268695432360163X (Mi danma437) 		 
This article is cited in 2 scientific papers (total in 2 papers)

MATHEMATICS

Digital stabilization of a switchable linear system with commensurate delays

A. V. Il'inabc, A. S. Fursovab

a Hangzhou Dianzi University, Hangzhou, RPC
b Lomonosov Moscow State University, Moscow Center for Fundamental and Applied Mathematics, Moscow, Russian Federation
c Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, Moscow, Russia
Citations (2)
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DOI: https://doi.org/10.31857/S268695432360163X
Abstract: An approach to the construction of a digital controller that stabilizes a non-continuous switchable linear system with commensurate delays in control is proposed. The approach to stabilization sequentially includes the construction of a switchable continuously discrete closed system with a digital controller, the transition to its discrete model, represented as a switchable system with modes of various orders and the construction of a discrete dynamic controller based on the quadratic stability condition of a closed switchable discrete system.
Keywords: discrete systems, switchable systems, digital controller, stabilization of discrete systems.
Funding agency Grant number
Moscow Center of Fundamental and Applied Mathematics 075-15-2019-1621
This work was supported by the Ministry of Science and Higher Education of the Russian Federation as part of the program of the Moscow Center for Fundamental and Applied Mathematics, agreement no. 075-15-2019-1621.
Received: 08.07.2023
Revised: 27.10.2023
Accepted: 05.11.2023
English version:
Doklady Mathematics, 2023, Volume 108, Issue 3, Pages 493–498
DOI: https://doi.org/10.1134/S1064562423701442
Bibliographic databases:
Document Type: Article
UDC: 517.926
Language: Russian
Citation: A. V. Il'in, A. S. Fursov, “Digital stabilization of a switchable linear system with commensurate delays”, Dokl. RAN. Math. Inf. Proc. Upr., 514:1 (2023), 82–88; Dokl. Math., 108:3 (2023), 493–498
Citation in format AMSBIB
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\by A.~V.~Il'in, A.~S.~Fursov
\paper Digital stabilization of a switchable linear system with commensurate delays
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2023
\vol 514
\issue 1
\pages 82--88
\mathnet{http://mi.mathnet.ru/danma437}
\crossref{https://doi.org/10.31857/S268695432360163X}
\elib{https://elibrary.ru/item.asp?id=56718077}
\transl
\jour Dokl. Math.
\yr 2023
\vol 108
\issue 3
\pages 493--498
\crossref{https://doi.org/10.1134/S1064562423701442}
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    • This publication is cited in the following 2 articles:
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    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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