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Avtomatika i Telemekhanika, 2018, Issue 6, Pages 87–98 (Mi at15088)  
This article is cited in 3 scientific papers (total in 3 papers)

Topical issue

Pyragas stabilizability of unstable equilibria by nonstationary time-delayed feedback

G. A. Leonova, M. M. Shumafovb

a St. Petersburg State University, St. Petersburg, Russia
b Adyghe State University, Maikop, Russia
Full-text PDF (817 kB) Citations (3)
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Abstract: The problem of Pyragas stabilizability of unstable equilibria of nonlinear systems is considered. Stabilization algorithm by periodic time-delayed feedback is constructed. An analytical criterion for stabilization is obtained. The proposed approach is based on the method of nonstationary stabilization.
Keywords: stabilization, unstable equilibrium, nonlinear differential equation, time-delayed feedback, linearization, eigenvalues.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation НШ-2858.2018.1
This work was supported by the Grant Council at President of Russian Federation for state support of the leading scientific schools of Russian Federation for 2018–2019, project no. NSh-2858.2018.1.
Presented by the member of Editorial Board: A. P. Kurdyukov

Received: 09.11.2017
English version:
Automation and Remote Control, 2018, Volume 79, Issue 6, Pages 1029–1039
DOI: https://doi.org/10.1134/S0005117918060048
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: G. A. Leonov, M. M. Shumafov, “Pyragas stabilizability of unstable equilibria by nonstationary time-delayed feedback”, Avtomat. i Telemekh., 2018, no. 6, 87–98; Autom. Remote Control, 79:6 (2018), 1029–1039
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/at/y2018/i6/p87
    • 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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    References:24
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