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Avtomatika i Telemekhanika, 2005, Issue 1, Pages 37–48 (Mi at1307)  
This article is cited in 4 scientific papers (total in 4 papers)

Deterministic Systems

Extension of the $S$-procedure and analysis of the multidimensional control systems using linear matrix inequalities

L. B. Rapoport

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (249 kB) Citations (4)
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Abstract: Consideration was given to a generalization of the so-called $S$-procedure in the problem of sign-definiteness of the quadratic form under quadratic constraints. Application of the algebraic criterion obtained to analysis of the multidimensional control system was discussed. The results were formulated in terms of solvability of the linear matrix inequalities.
Presented by the member of Editorial Board: A. V. Nazin

Received: 24.06.2004
English version:
Automation and Remote Control, 2005, Volume 66, Issue 1, Pages 31–42
DOI: https://doi.org/10.1007/s10513-005-0004-6
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: L. B. Rapoport, “Extension of the $S$-procedure and analysis of the multidimensional control systems using linear matrix inequalities”, Avtomat. i Telemekh., 2005, no. 1, 37–48; Autom. Remote Control, 66:1 (2005), 31–42
Citation in format AMSBIB
\Bibitem{Rap05}
\by L.~B.~Rapoport
\paper Extension of the $S$-procedure and analysis of the multidimensional control systems using linear matrix inequalities
\jour Avtomat. i Telemekh.
\yr 2005
\issue 1
\pages 37--48
\mathnet{http://mi.mathnet.ru/at1307}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2125950}
\zmath{https://zbmath.org/?q=an:1130.93367}
\transl
\jour Autom. Remote Control
\yr 2005
\vol 66
\issue 1
\pages 31--42
\crossref{https://doi.org/10.1007/s10513-005-0004-6}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-14844360935}
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  • https://www.mathnet.ru/eng/at/y2005/i1/p37
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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