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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2020, Volume 494, Pages 97–104
DOI: https://doi.org/10.31857/S2686954320050471 (Mi danma125) 		 
This article is cited in 2 scientific papers (total in 2 papers)

CONTROL PROCESSES

An approach to the stabilization problem of a parametrically uncertain linear nonstationary system

A. V. Il'inabc, P. A. Krylovb, A. S. Fursovabde

a Hangzhou Dianzi University, Hangzhou, P.R. China
b Lomonosov Moscow State University, Moscow, Russian Federation
c Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, Moscow, Russian Federation
d Bauman Moscow State Technical University, Moscow, Russian Federation
e Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow, Russian Federation
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DOI: https://doi.org/10.31857/S2686954320050471
Abstract: An approach based on the method of predictive models and the method of superstabilization is proposed to solve the problem of stabilization of parametrically uncertain linear nonstationary systems. The parametric uncertainty is specified using a family of compact sets in the space of square matrices. This approach is rigorously justified for second-order systems, but can be generalized to systems of arbitrary order.
Keywords: stabilization theory, stabilization of linear nonstationary systems, controllability.
Funding agency Grant number
Russian Foundation for Basic Research 20–57–00001
20–07–00827
19–07–00294
18–07–01283
18-07-01105
Moscow Center of Fundamental and Applied Mathematics
This work was supported by the Russian Foundation for Basic Research (project nos. 20-57-00001, 20-07-00827, 19-07-00294, 18-07-01283, and 18-07-01105) and by the Moscow Center of Fundamental and Applied Mathematics.
Received: 08.07.2020
Revised: 12.09.2020
Accepted: 15.09.2020
English version:
Doklady Mathematics, 2020, Volume 102, Issue 2, Pages 436–442
DOI: https://doi.org/10.1134/S1064562420050452
Bibliographic databases:
Document Type: Article
UDC: 517.924
Language: Russian
Citation: A. V. Il'in, P. A. Krylov, A. S. Fursov, “An approach to the stabilization problem of a parametrically uncertain linear nonstationary system”, Dokl. RAN. Math. Inf. Proc. Upr., 494 (2020), 97–104; Dokl. Math., 102:2 (2020), 436–442
Citation in format AMSBIB
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\paper An approach to the stabilization problem of a parametrically uncertain linear nonstationary system
\jour Dokl. RAN. Math. Inf. Proc. Upr.
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\vol 494
\pages 97--104
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\crossref{https://doi.org/10.31857/S2686954320050471}
\zmath{https://zbmath.org/?q=an:1478.93531}
\elib{https://elibrary.ru/item.asp?id=44344658}
\transl
\jour Dokl. Math.
\yr 2020
\vol 102
\issue 2
\pages 436--442
\crossref{https://doi.org/10.1134/S1064562420050452}
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    • This publication is cited in the following 2 articles:
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