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Avtomatika i Telemekhanika, 2016, Issue 4, Pages 24–34 (Mi at14429)  
Nonlinear Systems

Evaluation of the domain of attraction of time-varying systems with sector and polynomial nonlinearities

A. I. Barkin

Institute for Systems Analysis, Russian Academy of Sciences, Moscow, Russia
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Abstract: In this paper, we propose a method for computing an estimate of the domain of attraction of a system containing time-varying sector nonlinearity together with quadratic and cubic nonlinearities. The method is based on use of non-symmetric Lyapunov functions combined with scanning the phase space in polar coordinates. Examples testifying to the efficiency of the new approach are presented.
Presented by the member of Editorial Board: P. S. Shcherbakov

Received: 22.02.2015
English version:
Automation and Remote Control, 2016, Volume 77, Issue 4, Pages 569–577
DOI: https://doi.org/10.1134/S0005117916040032
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. I. Barkin, “Evaluation of the domain of attraction of time-varying systems with sector and polynomial nonlinearities”, Avtomat. i Telemekh., 2016, no. 4, 24–34; Autom. Remote Control, 77:4 (2016), 569–577
Citation in format AMSBIB
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