I. N. Barabanov, V. N. Tkhai, “Stabilization of oscillations from a monoparametric family of the autonomous system”, Avtomat. i Telemekh., 2009, Issue 2,Pages <nobr>35

This article is cited 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.

PACS: 05.45.-a

Presented by the member of Editorial Board: L. B. Rapoport

Received: 18.08.2008