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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}
Linking options:
  • https://www.mathnet.ru/eng/at1307
  • https://www.mathnet.ru/eng/at/y2005/i1/p37
    • This publication is cited in the following 4 articles:
    1. B. T. Polyak, M. V. Khlebnikov, P. S. Shcherbakov, “Linear matrix inequalities in control systems with uncertainty”, Autom. Remote Control, 82:1 (2021), 1–40  mathnet  crossref  crossref  isi  elib
    2. Polyak B.T. Shcherbakov P.S., “Optimisation and Asymptotic Stability”, Int. J. Control, 91:11, SI (2018), 2404–2410  crossref  mathscinet  isi  scopus
    3. Boris Polyak, Pavel Shcherbakov, “Lyapunov Functions: An Optimization Theory Perspective * *This work was supported by the Russian Scientific Foundation, project no. 16-11-10015”, IFAC-PapersOnLine, 50:1 (2017), 7456  crossref
    4. M. R. Liberzon, “Essays on the absolute stability theory”, Autom. Remote Control, 67:10 (2006), 1610–1644  mathnet  crossref  mathscinet  zmath  elib  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Avtomatika i Telemekhanika
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    Abstract page:352
    Full-text PDF :124
    References:55
    First page:1
     
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