V. A. Yakubovich, “Method of matrix unequalities in theory of nonlinear control systems stability. I. Forced oscillations absolute stability”, Avtomat. i Telemekh., 25:7 (1964), 1017

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Avtomatika i Telemekhanika, 1964, Volume 25, Issue 7, Pages 1017–1029 (Mi at11685)

This article is cited in 8 scientific papers (total in 9 papers)

Method of matrix unequalities in theory of nonlinear control systems stability. I. Forced oscillations absolute stability

V. A. Yakubovich

Leningrad

Full-text PDF (2680 kB) Citations (9)

Abstract: Frequency conditions for the existence of the absolute stable oscillation solution with the given damping ratio, of forced, periodical and almost periodical oscillations in the system with one continuous or discontinuous nonlinearity are obtained. For the case when there are no external disturbances, the condition of the absolute stability with the given damping ratio is similar to the condition of V. M. Popov.

Received: 04.11.1963

Document Type: Article

UDC: 62-501.32

Language: Russian

Citation: V. A. Yakubovich, “Method of matrix unequalities in theory of nonlinear control systems stability. I. Forced oscillations absolute stability”, Avtomat. i Telemekh., 25:7 (1964), 1017–1029

Citation in format AMSBIB

\Bibitem{1}

\by V.~A.~Yakubovich

\paper Method of matrix unequalities in theory of nonlinear control systems stability. I.~Forced oscillations absolute stability

\jour Avtomat. i Telemekh.

\yr 1964

\vol 25

\issue 7

\pages 1017--1029

\mathnet{http://mi.mathnet.ru/at11685}

Linking options:

https://www.mathnet.ru/eng/at11685

https://www.mathnet.ru/eng/at/v25/i7/p1017

Cycle of papers

Method of matrix unequalities in theory of nonlinear control systems stability. I. Forced oscillations absolute stability
V. A. Yakubovich
Avtomat. i Telemekh., 1964, 25:7, 1017–1029
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
The method of matrix inequalities in the theory of stability of non-linear controlled systems. III. Absolute stability of systems with hysteresis non-linearities
V. A. Yakubovich
Avtomat. i Telemekh., 1965, 26:5, 753–763

This publication is cited in the following 9 articles:

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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