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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2019, Volume 16, Pages 748–756
DOI: https://doi.org/10.33048/semi.2019.16.050 (Mi semr1092) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Differentical equations, dynamical systems and optimal control

On stability of solutions to neutral type systems

I. I. Matveevaab

a Sobolev Institute of Mathematics, 4, Koptyuga ave., Novosibirsk, 630090, Russia
b Novosibirsk State University, 2, Pirogova str., Novosibirsk, 630090, Russia
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DOI: https://doi.org/10.33048/semi.2019.16.050
Abstract: We consider a class of linear time-varying delay systems of neutral type with periodic coefficients. We obtain conditions for the exponential stability of the zero solution and establish estimates characterizing the exponential decay rate of solutions at infinity.
Keywords: time-varying delay systems, neutral type, periodic coefficients, exponential stability, estimates for solutions.
Funding agency Grant number
Russian Foundation for Basic Research 18-29-10086_мк
Received March 20, 2019, published June 7, 2019
Bibliographic databases:
Document Type: Article
UDC: 517.929.4
MSC: 34K20
Language: Russian
Citation: I. I. Matveeva, “On stability of solutions to neutral type systems”, Sib. Èlektron. Mat. Izv., 16 (2019), 748–756
Citation in format AMSBIB
\Bibitem{Mat19}
\by I.~I.~Matveeva
\paper On stability of solutions to neutral type systems
\jour Sib. \`Elektron. Mat. Izv.
\yr 2019
\vol 16
\pages 748--756
\mathnet{http://mi.mathnet.ru/semr1092}
\crossref{https://doi.org/10.33048/semi.2019.16.050}
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    • This publication is cited in the following 7 articles:
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