Email this article Evaluation of the domain of attraction of time-varying systems with sector and polynomial nonlinearities
- Authors: Barkin A.I.1
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Affiliations:
- Institute for Systems Analysis
- Issue: Vol 77, No 4 (2016)
- Pages: 569-577
- Section: Nonlinear Systems
- URL: https://journals.rcsi.science/0005-1179/article/view/150287
- DOI: https://doi.org/10.1134/S0005117916040032
- ID: 150287
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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.
About the authors
A. I. Barkin
Institute for Systems Analysis
Author for correspondence.
Email: barkin@isa.ru
Russian Federation, Moscow
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