Avtomatika i Telemekhanika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Avtomat. i Telemekh.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Avtomatika i Telemekhanika, 2008, Issue 11, Pages 125–139 (Mi at754)  
This article is cited in 41 scientific papers (total in 41 papers)

Adaptive and Robust Systems

Petersen's lemma on matrix uncertainty and its generalizations

M. V. Khlebnikov, P. S. Shcherbakov

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (520 kB) Citations (41)
References:
PDF
HTML
Abstract: Various generalizations and refinements are proposed for a well-known result on robust matrix sign-definiteness, which is extensively exploited in quadratic stability, design of robustly quadratically stabilizing controllers, robust LQR-problem, etc. The main emphasis is put on formulating the results in terms of linear matrix inequalities.
Presented by the member of Editorial Board: B. T. Polyak

Received: 09.07.2007
English version:
Automation and Remote Control, 2008, Volume 69, Issue 11, Pages 1932–1945
DOI: https://doi.org/10.1134/S000511790811009X
Bibliographic databases:
Document Type: Article
PACS: 02.10.Ud
Language: Russian
Citation: M. V. Khlebnikov, P. S. Shcherbakov, “Petersen's lemma on matrix uncertainty and its generalizations”, Avtomat. i Telemekh., 2008, no. 11, 125–139; Autom. Remote Control, 69:11 (2008), 1932–1945
Citation in format AMSBIB
\Bibitem{KhlShc08}
\by M.~V.~Khlebnikov, P.~S.~Shcherbakov
\paper Petersen's lemma on matrix uncertainty and its generalizations
\jour Avtomat. i Telemekh.
\yr 2008
\issue 11
\pages 125--139
\mathnet{http://mi.mathnet.ru/at754}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2488185}
\zmath{https://zbmath.org/?q=an:1163.93021}
\transl
\jour Autom. Remote Control
\yr 2008
\vol 69
\issue 11
\pages 1932--1945
\crossref{https://doi.org/10.1134/S000511790811009X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000262723400009}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-56749181424}
Linking options:
  • https://www.mathnet.ru/eng/at754
  • https://www.mathnet.ru/eng/at/y2008/i11/p125
    • This publication is cited in the following 41 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Avtomatika i Telemekhanika
    Statistics & downloads:
    Abstract page:391
    Full-text PDF :485
    References:55
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024