Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya
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Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya, 2018, Volume 14, Issue 2, Pages 165–172
DOI: https://doi.org/10.21638/11701/spbu10.2018.209 (Mi vspui367) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Control processes

On stabilization of a class of systems with time proportional delay

A. P. Zhabko, O. G. Tikhomirov, O. N. Chizhova

St. Petersburg State University, 7–9, Universitetskaya nab., St. Petersburg, 199034, Russian Federation
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DOI: https://doi.org/10.21638/11701/spbu10.2018.209
Abstract: In this paper, we investigate a possibility of the linear difference-differential system stabilization with time proportional delay by the linear observation. Using the sufficient conditions of asymptotic stability for the linear systems with linearly increasing delay, we obtain some conditions of the asymptotic evaluation system existence for the original system. Then we use the asymptotic evaluation system for the construction of the stabilizing control and derive the sufficient conditions for the existence of such control.
Keywords: system of linear differential-difference equations, linearly increasing time delay, asymptotic stability, stabilizing control, asymptotic evaluation system.
Received: February 2, 2018
Accepted: March 15, 2018
Bibliographic databases:
Document Type: Article
UDC: 517.929
MSC: 34K20
Language: Russian
Citation: A. P. Zhabko, O. G. Tikhomirov, O. N. Chizhova, “On stabilization of a class of systems with time proportional delay”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 14:2 (2018), 165–172
Citation in format AMSBIB
\Bibitem{ZhaTikChi18}
\by A.~P.~Zhabko, O.~G.~Tikhomirov, O.~N.~Chizhova
\paper On stabilization of a class of systems with time proportional delay
\jour Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr.
\yr 2018
\vol 14
\issue 2
\pages 165--172
\mathnet{http://mi.mathnet.ru/vspui367}
\crossref{https://doi.org/10.21638/11701/spbu10.2018.209}
\elib{https://elibrary.ru/item.asp?id=35246715}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Санкт-Петербургского университета. Серия 10. Прикладная математика. Информатика. Процессы управления
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    References:20
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