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Avtomatika i Telemekhanika, 2017, Issue 2, Pages 27–35 (Mi at14370)  
This article is cited in 7 scientific papers (total in 7 papers)

Nonlinear Systems

Construction of a stable cycle in weakly coupled identical systems

I. N. Barabanov, V. N. Tkhai

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (622 kB) Citations (7)
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Abstract: Consideration was given to a dynamic model containing weakly coupled identical subsystems. The subsystem was assumed to admit a family of periodic solutions where the period is a monotonic function of one parameter. Requirements on the coupling under which the model has an asymptotic orbital stable cycle were established. The problem of stabilization of the model oscillations by a small smooth autonomous coupling control was solved using the results obtained. The system of two coupled conservative systems with one degree of freedom was considered individually.
Keywords: model, coupled subsystems, family of periodic solutions, asymptotic orbital stable cycle, natural stabilization.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00587
This work was supported in part by the Russian Foundation for Basic Research, project no. 16-01-00587.
Presented by the member of Editorial Board: A. I. Matasov

Received: 18.02.2016
Accepted: 30.06.2016
English version:
Automation and Remote Control, 2017, Volume 78, Issue 2, Pages 217–223
DOI: https://doi.org/10.1134/S0005117917020023
Bibliographic databases:
Document Type: Article
PACS: 05.45.Xt
MSC: 34C15, 93D15
Language: Russian
Citation: I. N. Barabanov, V. N. Tkhai, “Construction of a stable cycle in weakly coupled identical systems”, Avtomat. i Telemekh., 2017, no. 2, 27–35; Autom. Remote Control, 78:2 (2017), 217–223
Citation in format AMSBIB
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\jour Avtomat. i Telemekh.
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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