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Sibirskii Zhurnal Industrial'noi Matematiki, 2018, Volume 21, Number 4, Pages 86–95
DOI: https://doi.org/10.17377/sibjim.2018.21.407 (Mi sjim1023) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On the robust stability of solutions to periodic systems of neutral type

I. I. Matveevaab

a Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090 Russia
b Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090 Russia
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DOI: https://doi.org/10.17377/sibjim.2018.21.407
Abstract: Under consideration is some class of linear systems of neutral type with periodic coefficients. We obtain the conditions on perturbations of the coefficients which preserve the exponential stability of the zero solution. Using a special Lyapunov–Krasovskii functional, we establish some estimates that characterize the rate of exponential decay at infinity of the solutions of the perturbed systems.
Keywords: systems of neutral type, periodic coefficients, exponential stability, Lyapunov–Krasovskii functional.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00592
The author was supported by the Russian Foundation for Basic Research (project no. 16-01-00592).
Received: 29.06.2018
English version:
Journal of Applied and Industrial Mathematics, 2018, Volume 12, Issue 4, Pages 684–693
DOI: https://doi.org/10.1134/S1990478918040099
Bibliographic databases:
Document Type: Article
UDC: 517.929.4
Language: Russian
Citation: I. I. Matveeva, “On the robust stability of solutions to periodic systems of neutral type”, Sib. Zh. Ind. Mat., 21:4 (2018), 86–95; J. Appl. Industr. Math., 12:4 (2018), 684–693
Citation in format AMSBIB
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\jour J. Appl. Industr. Math.
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский журнал индустриальной математики
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