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Sibirskii Zhurnal Industrial'noi Matematiki, 2019, Volume 22, Number 3, Pages 96–103
DOI: https://doi.org/10.33048/sibjim.2019.22.308 (Mi sjim1056) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Estimates of the exponential decay of solutions to linear systems of neutral type with periodic coefficients

I. I. Matveevaab

a Sobolev Institute of Mathematics SB RAS, pr. Akad. Koptyuga 4, 630090 Novosibirsk
b Novosibirsk State University, ul. Pirogova 1, 630090 Novosibirsk
Full-text PDF (198 kB) Citations (4)
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DOI: https://doi.org/10.33048/sibjim.2019.22.308
Abstract: We consider the class of linear systems of delay differential equations with periodic coefficients. Using a special class of Lyapunov — Krasovskiĭ functionals, we establish conditions for the exponential stability of the zero solution and obtain estimates characterizing the exponential decay rate of solutions at infinity.
Keywords: time-delay system of neutral type, periodic coefficients, exponential stability, Lyapunov — Krasovskiĭ functional.
Funding agency Grant number
Russian Foundation for Basic Research 18-29-10086_мк
Received: 09.05.2019
Revised: 09.05.2019
Accepted: 13.06.2019
English version:
Journal of Applied and Industrial Mathematics, 2019, Volume 13, Issue 3, Pages 511–518
DOI: https://doi.org/10.1134/S1990478919030116
Bibliographic databases:
Document Type: Article
UDC: 517.929.4
Language: Russian
Citation: I. I. Matveeva, “Estimates of the exponential decay of solutions to linear systems of neutral type with periodic coefficients”, Sib. Zh. Ind. Mat., 22:3 (2019), 96–103; J. Appl. Industr. Math., 13:3 (2019), 511–518
Citation in format AMSBIB
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\by I.~I.~Matveeva
\paper Estimates of the exponential decay of solutions to linear systems of neutral type with periodic coefficients
\jour Sib. Zh. Ind. Mat.
\yr 2019
\vol 22
\issue 3
\pages 96--103
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\crossref{https://doi.org/10.33048/sibjim.2019.22.308
}
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\transl
\jour J. Appl. Industr. Math.
\yr 2019
\vol 13
\issue 3
\pages 511--518
\crossref{https://doi.org/10.1134/S1990478919030116}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85071645028}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал индустриальной математики
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