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Avtomatika i Telemekhanika, 2007, Issue 3, Pages 3–18 (Mi at949)  
This article is cited in 26 scientific papers (total in 26 papers)

Deterministic Systems

Synthesis of linear quadratic control laws on basis of linear matrix inequalities

D. V. Balandina, M. M. Koganb

a N. I. Lobachevski State University of Nizhni Novgorod
b Nizhny Novgorod State University of Architecture and Civil Engineering
Full-text PDF (257 kB) Citations (26)
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Abstract: Classic problems of control law construction for a linear dynamic object that is optimal by the quadratic criterion in the determinate and stochastic cases are reduced, as is known, to solving nonlinear matrix Riccati equations. It is shown that the notion of $H_2$-norm of a system transfer matrix makes it possible to formulate and solve the stated problems in terms of linear matrix inequalities.
Presented by the member of Editorial Board: A. P. Kurdyukov

Received: 19.04.2006
English version:
Automation and Remote Control, 2007, Volume 68, Issue 3, Pages 371–385
DOI: https://doi.org/10.1134/S0005117907030010
Bibliographic databases:
Document Type: Article
PACS: 02.30.Yy
Language: Russian
Citation: D. V. Balandin, M. M. Kogan, “Synthesis of linear quadratic control laws on basis of linear matrix inequalities”, Avtomat. i Telemekh., 2007, no. 3, 3–18; Autom. Remote Control, 68:3 (2007), 371–385
Citation in format AMSBIB
\Bibitem{BalKog07}
\by D.~V.~Balandin, M.~M.~Kogan
\paper Synthesis of linear quadratic control laws on basis of linear matrix inequalities
\jour Avtomat. i Telemekh.
\yr 2007
\issue 3
\pages 3--18
\mathnet{http://mi.mathnet.ru/at949}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2304105}
\zmath{https://zbmath.org/?q=an:1118.49028}
\transl
\jour Autom. Remote Control
\yr 2007
\vol 68
\issue 3
\pages 371--385
\crossref{https://doi.org/10.1134/S0005117907030010}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33947575503}
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    • This publication is cited in the following 26 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:85
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