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Avtomatika i Telemekhanika, 1989, Issue 5, Pages 28–39 (Mi at6275)  

This article is cited in 4 scientific papers (total in 4 papers)

Deterministic Systems

A convolution method of matrix inequalities and absolute stability criteria for stationary control systems

V. A. Kamenetskii

Moscow
Abstract: Frequency criteria are obtained for absolute stability and instability from necessary and sufficient conditions for existence of Lyapunov functions in the class of quadratic forms with addition of integrals over nonlinearities. For control systems having several stationary nonlinear blocks these criteria make the conventional frequency criteria stronger.

Received: 25.08.1987
Bibliographic databases:
Document Type: Article
UDC: 519.718
Language: Russian
Citation: V. A. Kamenetskii, “A convolution method of matrix inequalities and absolute stability criteria for stationary control systems”, Avtomat. i Telemekh., 1989, no. 5, 28–39; Autom. Remote Control, 50:5 (1989), 598–607
Citation in format AMSBIB
\Bibitem{Kam89}
\by V.~A.~Kamenetskii
\paper A convolution method of matrix inequalities and absolute stability criteria for stationary control systems
\jour Avtomat. i Telemekh.
\yr 1989
\issue 5
\pages 28--39
\mathnet{http://mi.mathnet.ru/at6275}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1008355}
\zmath{https://zbmath.org/?q=an:0706.93044}
\transl
\jour Autom. Remote Control
\yr 1989
\vol 50
\issue 5
\pages 598--607
Linking options:
  • https://www.mathnet.ru/eng/at6275
  • https://www.mathnet.ru/eng/at/y1989/i5/p28
  • 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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