A. Kh. Gelig, I. E. Zuber, “Robust stabilization of continuous indeterminate systems”, Avtomat. i Telemekh., 2009, Issue 2,Pages <nobr>101

This article is cited in 2 papers

Adaptive and Robust Systems

Robust stabilization of continuous indeterminate systems

A. Kh. Gelig, I. E. Zuber

Saint-Petersburg State University

Abstract: The system of an arbitrary order with one scalar control is considered. It is assumed that coefficients of the system and vectors of distribution of control are bounded and are functionals of an arbitrary character. With the aid of the Lyapunov function in a quadratic form with the constant Jacobian matrix of coefficients of a special form, the conditions for bounds of a change of the coefficients are obtained, in the fulfillment of which the linear stationary control by the state is synthesized. In this control, the system becomes exponentially stable on the whole.

PACS: 02.30.Yy

Presented by the member of Editorial Board: L. A. Mironovskii

Received: 17.07.2008