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Sibirskii Zhurnal Industrial'noi Matematiki, 2015, Volume 18, Number 4, Pages 18–29
DOI: https://doi.org/10.17377/sibjim.2015.18.403 (Mi sjim900) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the robust stability of solutions to linear differential equations of neutral type with periodic coefficients

G. V. Demidenkoab, I. I. Matveevaab

a Sobolev Institute of Mathematics SB RAS, 4 Koptyug av., 630090 Novosibirsk
b Novosibirsk State University, 2 Pirogova st., 630090 Novosibirsk
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DOI: https://doi.org/10.17377/sibjim.2015.18.403
Abstract: We consider a class of linear systems of delay differential equations with periodic coefficients. We establish conditions on the perturbations of the coefficients under which the exponential stability of the zero solution is preserved and obtain estimates characterizing the exponential decay of solutions to the perturbed systems at infinity.
Keywords: time-delay systems of neutral type, periodic coefficients, robust stability, Lyapunov–Krasovskii functional, Lyapunov differential equation.
Received: 03.06.2015
Bibliographic databases:
Document Type: Article
UDC: 517.929.4
Language: Russian
Citation: G. V. Demidenko, I. I. Matveeva, “On the robust stability of solutions to linear differential equations of neutral type with periodic coefficients”, Sib. Zh. Ind. Mat., 18:4 (2015), 18–29
Citation in format AMSBIB
\Bibitem{DemMat15}
\by G.~V.~Demidenko, I.~I.~Matveeva
\paper On the robust stability of solutions to linear differential equations of neutral type with periodic coefficients
\jour Sib. Zh. Ind. Mat.
\yr 2015
\vol 18
\issue 4
\pages 18--29
\mathnet{http://mi.mathnet.ru/sjim900}
\crossref{https://doi.org/10.17377/sibjim.2015.18.403}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3549846}
\elib{https://elibrary.ru/item.asp?id=24119697}
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    • This publication is cited in the following 1 articles:
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    		Сибирский журнал индустриальной математики
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