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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 2003, Volume 10, Number 4, Pages 569–582 (Mi jmag268)  
This article is cited in 4 scientific papers (total in 4 papers)

Strong asymptotic stability and constructing of stabilizing controls

Grigory M. Sklyarab, Alexander V. Rezounenkoa

a Department of Mechanics and Mathematics, V. N. Karazin Kharkov National University, 4 Svobody Sq., Kharkov, 61077, Ukraine
b Institute of Mathematics, Szczecin University, 15 Wielkopolska Str., Szczecin, 70451, Poland
Full-text PDF (289 kB) Citations (4)
URL: https://magr.ilt.kharkov.ua/abstract.php?uid=m10-0569e
Abstract: We show the role which plays a recent theorem on the strong asymptotic stability in the analysis of the strong stabilizability problem in Hilbert spaces. We consider a control system with skew-adjoint operator and one-dimensional control. We examine in details the property for a linear feedback control to stabilize such a system. A robustness analysis of stabilizing controls is also given.
Received: 01.07.2002
Bibliographic databases:
Document Type: Article
MSC: Primary 93D15; Secondary 93D20, 93D09
Language: English
Citation: Grigory M. Sklyar, Alexander V. Rezounenko, “Strong asymptotic stability and constructing of stabilizing controls”, Mat. Fiz. Anal. Geom., 10:4 (2003), 569–582
Citation in format AMSBIB
\Bibitem{SklRez03}
\by Grigory~M.~Sklyar, Alexander V.~Rezounenko
\paper Strong asymptotic stability and constructing of stabilizing controls
\jour Mat. Fiz. Anal. Geom.
\yr 2003
\vol 10
\issue 4
\pages 569--582
\mathnet{http://mi.mathnet.ru/jmag268}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2020827}
\zmath{https://zbmath.org/?q=an:1066.93047}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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