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Avtomatika i Telemekhanika, 1989, Issue 6, Pages 34–43 (Mi at6309)  

This article is cited in 5 scientific papers (total in 5 papers)

Deterministic Systems

On one frequency criterion of absolute stability for control systems with several nonlinear stationary elements

L. B. Rapoport

Moscow
Abstract: For absolute stability of control systems with several nonlinear stationary elements in the feedback loop a new frequency criterion is proposed which establishes the necessary and sufficient conditions for existence of Lyapunov functions from the class of quadratic forms with addition of integrals over the nonlinearities.

Received: 01.07.1987
Bibliographic databases:
Document Type: Article
UDC: 62-501.52
Language: Russian
Citation: L. B. Rapoport, “On one frequency criterion of absolute stability for control systems with several nonlinear stationary elements”, Avtomat. i Telemekh., 1989, no. 6, 34–43; Autom. Remote Control, 50:6 (1989), 743–750
Citation in format AMSBIB
\Bibitem{Rap89}
\by L.~B.~Rapoport
\paper On one frequency criterion of absolute stability for control systems with several nonlinear stationary elements
\jour Avtomat. i Telemekh.
\yr 1989
\issue 6
\pages 34--43
\mathnet{http://mi.mathnet.ru/at6309}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1016199}
\zmath{https://zbmath.org/?q=an:0712.93043}
\transl
\jour Autom. Remote Control
\yr 1989
\vol 50
\issue 6
\pages 743--750
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  • https://www.mathnet.ru/eng/at/y1989/i6/p34
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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