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Avtomatika i Telemekhanika, 2006, Issue 11, Pages 77–121 (Mi at1299)  
This article is cited in 77 scientific papers (total in 77 papers)

Kalman-Popov-Yakubovich lemma and the $S$-procedure: A historical essay

S. V. Gusev, A. L. Likhtarnikov

Saint-Petersburg State University
Full-text PDF (483 kB) Citations (77)
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Abstract: A history of two fundamental results of the mathematical system theory – the Kalman–Popov–Yakubovich lemma and the theorem of losslessness of the $S$-procedure – was presented. The studies directly concerned with these statements were reviewed. The recent publications using the theorem of losslessness of the $S$-procedure to derive the Kalman–Popov–Yakubovich lemma and its generalizations were analyzed.
Presented by the member of Editorial Board: B. T. Polyak

Received: 26.01.2006
English version:
Automation and Remote Control, 2006, Volume 67, Issue 11, Pages 1768–1810
DOI: https://doi.org/10.1134/S000511790611004X
Bibliographic databases:
Document Type: Article
PACS: 02.30.Yy
Language: Russian
Citation: S. V. Gusev, A. L. Likhtarnikov, “Kalman-Popov-Yakubovich lemma and the $S$-procedure: A historical essay”, Avtomat. i Telemekh., 2006, no. 11, 77–121; Autom. Remote Control, 67:11 (2006), 1768–1810
Citation in format AMSBIB
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\by S.~V.~Gusev, A.~L.~Likhtarnikov
\paper Kalman-Popov-Yakubovich lemma and the $S$-procedure: A~historical essay
\jour Avtomat. i Telemekh.
\yr 2006
\issue 11
\pages 77--121
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\elib{https://elibrary.ru/item.asp?id=15567947}
\transl
\jour Autom. Remote Control
\yr 2006
\vol 67
\issue 11
\pages 1768--1810
\crossref{https://doi.org/10.1134/S000511790611004X}
\elib{https://elibrary.ru/item.asp?id=13524214}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33751510921}
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  • https://www.mathnet.ru/eng/at/y2006/i11/p77
    • This publication is cited in the following 77 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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