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Avtomatika i Telemekhanika, 2009, Issue 2, Pages 35–41
(Mi at415)
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This article is cited in 4 scientific papers (total in 4 papers)
Deterministic Systems
Stabilization of oscillations from a monoparametric family of the autonomous system
I. N. Barabanov, V. N. Tkhai Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Abstract:
The problem of oscillation stabilization is solved for the autonomous system in the case when the oscillations form a monoparametric family. For each possible point type of the family the explicit formulae that solve the problem are obtained. It follows from those formulae that the dissipation is a necessary condition of the stabilization. The obtained sufficient conditions of the stabilizations coinside with the appropriate necessary conditions to within the sign of unstrict inequality.
Citation:
I. N. Barabanov, V. N. Tkhai, “Stabilization of oscillations from a monoparametric family of the autonomous system”, Avtomat. i Telemekh., 2009, no. 2, 35–41; Autom. Remote Control, 70:2 (2009), 203–208
Linking options:
https://www.mathnet.ru/eng/at415 https://www.mathnet.ru/eng/at/y2009/i2/p35
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