V. A. Yakubovich, “Absolute stability of nonlinear control systems in critical cases. III”, Avtomat. i Telemekh., 25:5 (1964), 601

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Avtomatika i Telemekhanika, 1964, Volume 25, Issue 5, Pages 601–612 (Mi at11646)

This article is cited in 3 scientific papers (total in 4 papers)

Absolute stability of nonlinear control systems in critical cases. III

V. A. Yakubovich

Leningrad

Full-text PDF (2405 kB) Citations (4)

Abstract: A general critical case of absolute stability of control systems with single discontinuous nonlinearity is investigated by means of the method of matrix inequalities. An absolute stability criterion is found which is sufficient and necessary, except certain boundary cases, for the existence of a Lyapounov function of the «quadratic form plus integral of the nonlinearity» kind. The possibilities of the method based on Lyapounov functions of the above kind are analyzed.

Received: 16.04.1963

Document Type: Article

UDC: 62-501.32

Language: Russian

Citation: V. A. Yakubovich, “Absolute stability of nonlinear control systems in critical cases. III”, Avtomat. i Telemekh., 25:5 (1964), 601–612

Citation in format AMSBIB

\Bibitem{1}

\by V.~A.~Yakubovich

\paper Absolute stability of nonlinear control systems in critical cases.~III

\jour Avtomat. i Telemekh.

\yr 1964

\vol 25

\issue 5

\pages 601--612

\mathnet{http://mi.mathnet.ru/at11646}

Linking options:

https://www.mathnet.ru/eng/at11646

https://www.mathnet.ru/eng/at/v25/i5/p601

Cycle of 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
Avtomat. i Telemekh., 1965, 26:4, 577–590
Absolute stability of nonlinear control systems in critical cases. III
V. A. Yakubovich
Avtomat. i Telemekh., 1964, 25:5, 601–612

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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