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Avtomatika i Telemekhanika, 2005, Issue 2, Pages 92–107 (Mi at1327)  
This article is cited in 3 scientific papers (total in 3 papers)

Adaptive and Robust Systems

Oscillation conditions of nonlinear systems with static feedback

D. V. Efimov, A. L. Fradkov

Institute of Problems of Mechanical Engineering, Russian Academy of Sciences
Full-text PDF (400 kB) Citations (3)
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Abstract: Conditions are proposed of the availability of the oscillation property in the sense of Yakubovich in a system with a nonlinear nominal portion enclosed by static nonlinear output feedback. A technique is worked out to calculate analytical estimates for the amplitude of oscillations in the system. The relation between estimates for the amplitude of oscillations and the index of excitability of the system with respect to the input is established. Examples are given of the computer modeling for systems of the 2nd and the 3rd order,including Van der Pol and Lorentz systems conforming the applicability of the suggested solutions.
Presented by the member of Editorial Board: B. T. Polyak

Received: 02.06.2004
English version:
Automation and Remote Control, 2005, Volume 66, Issue 2, Pages 249–264
DOI: https://doi.org/10.1007/s10513-005-0048-7
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: D. V. Efimov, A. L. Fradkov, “Oscillation conditions of nonlinear systems with static feedback”, Avtomat. i Telemekh., 2005, no. 2, 92–107; Autom. Remote Control, 66:2 (2005), 249–264
Citation in format AMSBIB
\Bibitem{EfiFra05}
\by D.~V.~Efimov, A.~L.~Fradkov
\paper Oscillation conditions of nonlinear systems with static feedback
\jour Avtomat. i Telemekh.
\yr 2005
\issue 2
\pages 92--107
\mathnet{http://mi.mathnet.ru/at1327}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2125978}
\zmath{https://zbmath.org/?q=an:1095.93013}
\transl
\jour Autom. Remote Control
\yr 2005
\vol 66
\issue 2
\pages 249--264
\crossref{https://doi.org/10.1007/s10513-005-0048-7}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-17144426138}
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  • https://www.mathnet.ru/eng/at/y2005/i2/p92
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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