Avtomat. i Telemekh., 2017, Issue 11, Pages 34–47
This article is cited in 3 scientific papers (total in 3 papers)
Stabilization of oscillations in a coupled periodic system
V. N. Tkhai
Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Consideration was given to a model containing two coupled autonomous planar subsystems of differential equations. It was assumed that the subsystems admitted families of nondegenerate single-frequency oscillations, and coupling was described by time-periodic functions. Solved was the problem of natural stabilization of system oscillations, where by natural stabilization was meant construction of an isolated oscillation and its concurrent stabilization. Constructive conditions for smooth periodic coupling controls providing problem solution were derived. Specific control was proposed for coupled conservative systems with one degree of freedom.
model, coupled subsystems, oscillation, stability, natural stabilization.
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Automation and Remote Control, 2017, 78:11, 1967–1977
MSC: 2010: 34A34, 93C10, 93D15, 93D20
Presented by the member of Editorial Board: Л. Б. Рапопорт
V. N. Tkhai, “Stabilization of oscillations in a coupled periodic system”, Avtomat. i Telemekh., 2017, no. 11, 34–47; Autom. Remote Control, 78:11 (2017), 1967–1977
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\paper Stabilization of oscillations in a~coupled periodic system
\jour Avtomat. i Telemekh.
\jour Autom. Remote Control
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This publication is cited in the following articles:
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
I. N. Barabanov, V. N. Tkhai, “Stabilization of oscillations in a periodic system by choosing appropriate couplings”, Autom. Remote Control, 79:12 (2018), 2128–2135
V. N. Tkhai, “Periodicheskaya model, soderzhaschaya svyazannye podsistemy s razlichnymi tipami kolebanii”, Avtomat. i telemekh., 2019, no. 3, 55–67
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