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Sibirskii Zhurnal Industrial'noi Matematiki, 2010, Volume 13, Number 4, Pages 118–130 (Mi sjim643)  
This article is cited in 3 scientific papers (total in 3 papers)

Sufficient stability conditions and stabilizing control design for delay differential systems of a special type

N. O. Sedova

Ul'yanovsk State University, Ul'yanovsk
Full-text PDF (304 kB) Citations (3)
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Abstract: This paper introduces some sufficient conditions for uniform and asymptotic global stability as well as the algorithms for design of stabilizing control for special systems like cascaded (triangular) systems and integrator chains. The results are presented in terms of semidefinite Lyapunov functions, and they hold for nonlinear nonautonomous systems. Application of the results proposed is illustrated by some classical examples.
Keywords: stability, stabilization, time-delay, Lyapunov function.
Received: 27.01.2009
Revised: 01.03.2010
English version:
Journal of Applied and Industrial Mathematics, 2012, Volume 6, Issue 1, Pages 111–122
DOI: https://doi.org/10.1134/S1990478912010127
Bibliographic databases:
Document Type: Article
UDC: 517.929.4+517.977.54
Language: Russian
Citation: N. O. Sedova, “Sufficient stability conditions and stabilizing control design for delay differential systems of a special type”, Sib. Zh. Ind. Mat., 13:4 (2010), 118–130; J. Appl. Industr. Math., 6:1 (2012), 111–122
Citation in format AMSBIB
\Bibitem{Sed10}
\by N.~O.~Sedova
\paper Sufficient stability conditions and stabilizing control design for delay differential systems of a~special type
\jour Sib. Zh. Ind. Mat.
\yr 2010
\vol 13
\issue 4
\pages 118--130
\mathnet{http://mi.mathnet.ru/sjim643}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2841219}
\elib{https://elibrary.ru/item.asp?id=15563995}
\transl
\jour J. Appl. Industr. Math.
\yr 2012
\vol 6
\issue 1
\pages 111--122
\crossref{https://doi.org/10.1134/S1990478912010127}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал индустриальной математики
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