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Avtomatika i Telemekhanika, 2014, Issue 8, Pages 99–112 (Mi at14109)  
This article is cited in 5 scientific papers (total in 5 papers)

Robust and Adaptive Systems

Robust stabilization of one class of nonlinear systems

V. I. Korobovab, A. V. Lutsenkoab

a Karazin Kharkiv National University, Kharkiv, Ukraine
b Institute of Mathematics, University of Szczecin, Szczecin, Poland
Full-text PDF (227 kB) Citations (5)
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Abstract: We consider the robust linear stabilization problem for a family of nonlinear controllable systems that contains functional-parametric uncertainties and depends on the control nonlinearly. We obtain sufficient conditions for robust stabilization and synthesize state linear controllers that perform robust stabilization. We also obtain necessary conditions for robust stabilization that are close to sufficient. The synthesis is based on the method of Lyapunov functions.
Presented by the member of Editorial Board: B. T. Polyak

Received: 27.04.2012
English version:
Automation and Remote Control, 2014, Volume 75, Issue 8, Pages 1433–1444
DOI: https://doi.org/10.1134/S00051179140800074
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. I. Korobov, A. V. Lutsenko, “Robust stabilization of one class of nonlinear systems”, Avtomat. i Telemekh., 2014, no. 8, 99–112; Autom. Remote Control, 75:8 (2014), 1433–1444
Citation in format AMSBIB
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\by V.~I.~Korobov, A.~V.~Lutsenko
\paper Robust stabilization of one class of nonlinear systems
\jour Avtomat. i Telemekh.
\yr 2014
\issue 8
\pages 99--112
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\transl
\jour Autom. Remote Control
\yr 2014
\vol 75
\issue 8
\pages 1433--1444
\crossref{https://doi.org/10.1134/S00051179140800074}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84906274226}
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  • https://www.mathnet.ru/eng/at/y2014/i8/p99
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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