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Avtomatika i Telemekhanika, 1965, Volume 26, Issue 4, Pages 577–590 (Mi at11333)  
This article is cited in 3 scientific papers (total in 4 papers)

The method of matrix inequalities in the stability theory of nonlinear control systems. II. Absolute stability in a class of nonlinearities with a condition on the derivative

V. A. Yakubovich

Leningrad
Full-text PDF (3102 kB) Citations (4)
Abstract: There obtained, for single-nonlinearity systems, a new frequency condition of absolute stability improving, for a number of cases, the V. M. Popov condition and covering, for a class of nonlinearities under consideration, all the conditions which may be derived by means of the Lyapunov function of the kind: “quadratic form of coordinates and nonlinearity plus nonlinearity integral”. The proof is based on the solution of special matrix inequalities [1].

Received: 23.09.1963
Bibliographic databases:
Document Type: Article
UDC: 62-501.32
Language: Russian
Citation: V. A. Yakubovich, “The method of matrix inequalities in the stability theory of nonlinear control systems. II. Absolute stability in a class of nonlinearities with a condition on the derivative”, Avtomat. i Telemekh., 26:4 (1965), 577–590; Autom. Remote Control, 26 (1965), 577–592
Citation in format AMSBIB
\Bibitem{1}
\by V.~A.~Yakubovich
\paper The method of matrix inequalities in the stability theory of nonlinear control systems. II.~Absolute stability in a~class of nonlinearities with a~condition on the derivative
\jour Avtomat. i Telemekh.
\yr 1965
\vol 26
\issue 4
\pages 577--590
\mathnet{http://mi.mathnet.ru/at11333}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=187960}
\transl
\jour Autom. Remote Control
\yr 1965
\vol 26
\pages 577--592
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  • https://www.mathnet.ru/eng/at/v26/i4/p577
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    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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