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Avtomatika i Telemekhanika, 1982, Issue 4, Pages 5–8 (Mi at5489)  
This article is cited in 1 scientific paper (total in 1 paper)

Deterministic Systems

Stability, instability and dichotomy of control systems with gradient nonlinearities

N. E. Barabanov

Leningrad
Full-text PDF (627 kB) Citations (1)
Abstract: The paper is concerned with control systems having nonlinearities which are a gradient of a certain function. Assuming that the imaginary part of the transfer matrix function has a definite sign in at least one point the necessary and sufficient conditions are obtained for dichotomy, global asymptotics, and instability on the whole of systems in some conventional classes of nonlinearities. Examples are given.

Received: 12.01.1981
Bibliographic databases:
Document Type: Article
UDC: 62-501.52
Language: Russian
Citation: N. E. Barabanov, “Stability, instability and dichotomy of control systems with gradient nonlinearities”, Avtomat. i Telemekh., 1982, no. 4, 5–8; Autom. Remote Control, 43:4 (1982), 425–428
Citation in format AMSBIB
\Bibitem{Bar82}
\by N.~E.~Barabanov
\paper Stability, instability and dichotomy of control systems with gradient nonlinearities
\jour Avtomat. i Telemekh.
\yr 1982
\issue 4
\pages 5--8
\mathnet{http://mi.mathnet.ru/at5489}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=685161}
\zmath{https://zbmath.org/?q=an:0503.93052}
\transl
\jour Autom. Remote Control
\yr 1982
\vol 43
\issue 4
\pages 425--428
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  • https://www.mathnet.ru/eng/at5489
  • https://www.mathnet.ru/eng/at/y1982/i4/p5
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Avtomatika i Telemekhanika
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    Abstract page:155
    Full-text PDF :56
    First page:1
     
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