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Avtomatika i Telemekhanika, 2007, Issue 3, Pages 106–125 (Mi at956)  
This article is cited in 156 scientific papers (total in 156 papers)

Adaptive and Robust Systems

Rejection of bounded exogenous disturbances by the method of invariant ellipsoids

S. A. Nazin, B. T. Polyak, M. V. Topunov

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (511 kB) Citations (156)
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Abstract: Rejection of the bounded exogenous disturbances was first studied by the $l_1$-optimization theory. A new approach to this problem was proposed in the present paper on the basis of the method of invariant ellipsoids where the technique of linear matrix inequalities was the main tool. Consideration was given to the continuous and discrete variants of the problem. Control of the “double pendulum” was studied by way of example.
Presented by the member of Editorial Board: A. P. Kurdyukov

Received: 12.09.2006
English version:
Automation and Remote Control, 2007, Volume 68, Issue 3, Pages 467–486
DOI: https://doi.org/10.1134/S0005117907030083
Bibliographic databases:
Document Type: Article
PACS: 02.30.Yy
Language: Russian
Citation: S. A. Nazin, B. T. Polyak, M. V. Topunov, “Rejection of bounded exogenous disturbances by the method of invariant ellipsoids”, Avtomat. i Telemekh., 2007, no. 3, 106–125; Autom. Remote Control, 68:3 (2007), 467–486
Citation in format AMSBIB
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\by S.~A.~Nazin, B.~T.~Polyak, M.~V.~Topunov
\paper Rejection of bounded exogenous disturbances by the method of invariant ellipsoids
\jour Avtomat. i Telemekh.
\yr 2007
\issue 3
\pages 106--125
\mathnet{http://mi.mathnet.ru/at956}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2304813}
\zmath{https://zbmath.org/?q=an:1125.93370}
\transl
\jour Autom. Remote Control
\yr 2007
\vol 68
\issue 3
\pages 467--486
\crossref{https://doi.org/10.1134/S0005117907030083}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33947594498}
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    • This publication is cited in the following 156 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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