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Avtomatika i Telemekhanika, 2012, Issue 6, Pages 89–102 (Mi at3815)  

This article is cited in 6 scientific papers (total in 6 papers)

Robust and Adaptive Systems

Robust stability of systems of linear differential equations with periodic impulsive influence

V. I. Slyn'koa, V. S. Denisenkob

a Timoshenko Institute of Mechanics, National Academy of Sciences, Kiev, Ukraine
b Khmelnytsky Cherkassy National University, Cherkassy, Ukraine
Full-text PDF (229 kB) Citations (6)
References:
Abstract: We give sufficient robust stability conditions for matrix polytopes of linear systems with impulsive influence. The methods of our study are based on logarithmic matrix measure theory and linear operator theory in Banach spaces. Our results reduce the robust stability problem to the feasibility problem for a system of linear matrix inequalities in the class of positive definite matrices.
Presented by the member of Editorial Board: V. L. Kharitonov

Received: 21.03.2011
English version:
Automation and Remote Control, 2012, Volume 73, Issue 6, Pages 1005–1015
DOI: https://doi.org/10.1134/S0005117912060069
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. I. Slyn'ko, V. S. Denisenko, “Robust stability of systems of linear differential equations with periodic impulsive influence”, Avtomat. i Telemekh., 2012, no. 6, 89–102; Autom. Remote Control, 73:6 (2012), 1005–1015
Citation in format AMSBIB
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\by V.~I.~Slyn'ko, V.~S.~Denisenko
\paper Robust stability of systems of linear differential equations with periodic impulsive influence
\jour Avtomat. i Telemekh.
\yr 2012
\issue 6
\pages 89--102
\mathnet{http://mi.mathnet.ru/at3815}
\transl
\jour Autom. Remote Control
\yr 2012
\vol 73
\issue 6
\pages 1005--1015
\crossref{https://doi.org/10.1134/S0005117912060069}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84864568466}
Linking options:
  • https://www.mathnet.ru/eng/at3815
  • https://www.mathnet.ru/eng/at/y2012/i6/p89
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Avtomatika i Telemekhanika
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    Abstract page:401
    Full-text PDF :134
    References:55
    First page:24
     
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