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Avtomatika i Telemekhanika, 1985, Issue 3, Pages 28–35 (Mi at6902)  

Deterministic Systems

Graphic methods of investigation of the stability of continuous systems with one nonlinearity of different classes

A. V. Lipatov, F. R. Sadykov, G. Ya. Soloveĭchik

Moscow
Abstract: For continuous stationary system with one nonlinearity from a class characterized by one numerical parameter $d\in[0,\infty]$ simple graphical criteria are proposed whereby the disturbance (in some sense) of the conditions of V. M. Popov's criterion depends on $d$ and which coincide in extreme cases wither with Popov's criterion for systems with an arbitrary nonlinear response $(d=\infty)$ or with a “segment stability” criterion when the nonlinear element is replaced by a set of linear stationary elements with transfer coefficients from the same sector $(d=0)$.
Bibliographic databases:
Document Type: Article
UDC: 62-501.52, 76
Language: Russian
Citation: A. V. Lipatov, F. R. Sadykov, G. Ya. Soloveǐchik, “Graphic methods of investigation of the stability of continuous systems with one nonlinearity of different classes”, Avtomat. i Telemekh., 1985, no. 3, 28–35; Autom. Remote Control, 46:3 (1985), 300–306
Citation in format AMSBIB
\Bibitem{LipSadSol85}
\by A.~V.~Lipatov, F.~R.~Sadykov, G.~Ya.~Solove{\v\i}chik
\paper Graphic methods of investigation of the stability of continuous systems with one nonlinearity of different classes
\jour Avtomat. i Telemekh.
\yr 1985
\issue 3
\pages 28--35
\mathnet{http://mi.mathnet.ru/at6902}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=807454}
\zmath{https://zbmath.org/?q=an:0577.93047}
\transl
\jour Autom. Remote Control
\yr 1985
\vol 46
\issue 3
\pages 300--306
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