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Avtomatika i Telemekhanika, 2018, Issue 11, Pages 47–66
DOI: https://doi.org/10.31857/S000523100002776-7 (Mi at14939) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Linear Systems

Sufficient conditions for stability of periodic linear impulsive delay systems

V. I. Slyn'koa, C. Tunçb

a Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev, Ukraine
b Van Yuzuncu Yil University, Van, Turkey
Full-text PDF (663 kB) Citations (5)
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DOI: https://doi.org/10.31857/S000523100002776-7
Abstract: For a linear periodic system with impulsive action and delay, new approaches to the study of stability were proposed on the basis of the methods of spectral theory of linear operators, direct Lyapunov method, and N.G. Chetaev method for construction of the Lyapunov functions for the periodic linear systems, as well as the perturbation method for construction of the Lyapunov functions. These methods underlie the sufficient conditions for asymptotic stability of the linear periodic systems with impulsive action and delay. We gave some illustrative examples of studying stability of such systems under different assumptions about the dynamic properties of the continuous and discrete components of the impulsive system.
Keywords: linear periodic impulsive delay system, Lyapunov stability, Lyapunov function, Floquet–Lyapunov theory.
Funding agency Grant number
Scientific and Technological Research Council of Turkey 2221-2017
This study was completed under the support of the Turkish Council for Scientific and Technological Studies of (2221-grant for the researchers 2221-2017/2 period) and FBA-2017-5868, when Vitalii Slyn’ko was an invited scientist at the Van Yuzuncu Yil University, Van, Turkey.
Presented by the member of Editorial Board: G. A. Leonov

Received: 05.12.2017
English version:
Automation and Remote Control, 2018, Volume 79, Issue 11, Pages 1989–2004
DOI: https://doi.org/10.1134/S0005117918110048
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. I. Slyn'ko, C. Tunç, “Sufficient conditions for stability of periodic linear impulsive delay systems”, Avtomat. i Telemekh., 2018, no. 11, 47–66; Autom. Remote Control, 79:11 (2018), 1989–2004
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/at/y2018/i11/p47
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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