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Avtomat. i Telemekh., 2017, Issue 2, Pages 27–35 (Mi at14370)  

This article is cited in 2 scientific papers (total in 2 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

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.

Author to whom correspondence should be addressed

Full text: PDF file (622 kB)
First page: PDF file
References: PDF file   HTML file

English version:
Automation and Remote Control, 2017, 78:2, 217–223

Bibliographic databases:

PACS: 05.45.Xt
MSC: 34C15, 93D15
Presented by the member of Editorial Board: А. И. Матасов

Received: 18.02.2016
Accepted: 30.06.2016

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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\paper Construction of a~stable cycle in weakly coupled identical systems
\jour Avtomat. i Telemekh.
\yr 2017
\issue 2
\pages 27--35
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\elib{http://elibrary.ru/item.asp?id=28903781}
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\jour Autom. Remote Control
\yr 2017
\vol 78
\issue 2
\pages 217--223
\crossref{https://doi.org/10.1134/S0005117917020023}
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\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85012224971}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. V. N. Tkhai, “Stabilization of oscillations in a coupled periodic system”, Autom. Remote Control, 78:11 (2017), 1967–1977  mathnet  crossref  isi  elib
    2. I. N. Barabanov, V. N. Tkhai, “Natural stabilization of the oscillation in the coupled periodical system”, Eighth Polyakhov's Reading, AIP Conf. Proc., 1959, eds. E. Kustova, G. Leonov, N. Morosov, M. Yushkov, M. Mekhonoshina, Amer. Inst. Phys., 2018, 080008  crossref  isi  scopus
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