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Avtomatika i Telemekhanika, 2015, Issue 7, Pages 26–39 (Mi at14252)  
This article is cited in 3 scientific papers (total in 3 papers)

Nonlinear Systems

Attraction domains of systems with polynomial nonlinearities

A. I. Barkin

Institute for Systems Analysis, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (763 kB) Citations (3)
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Abstract: A novel method is presented for estimating attraction domains of the zero solution of systems of differential equations with stable linear component and nonlinear components of degrees two and three. A new class of Lyapunov functions is proposed. The efficiency of the approach is illustrated via examples.
Presented by the member of Editorial Board: P. S. Shcherbakov

Received: 12.06.2014
English version:
Automation and Remote Control, 2015, Volume 76, Issue 7, Pages 1156–1168
DOI: https://doi.org/10.1134/S0005117915070024
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. I. Barkin, “Attraction domains of systems with polynomial nonlinearities”, Avtomat. i Telemekh., 2015, no. 7, 26–39; Autom. Remote Control, 76:7 (2015), 1156–1168
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/at/y2015/i7/p26
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Full-text PDF :60
    References:43
    First page:23
     
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