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Avtomatika i Telemekhanika, 1985, Issue 3, Pages 28–35
(Mi at6902)
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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 $(d=0)$.
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
Linking options:
https://www.mathnet.ru/eng/at6902 https://www.mathnet.ru/eng/at/y1985/i3/p28
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