This article is cited in 6 papers

Robust and Adaptive Systems

Invariant stabilization of classes of uncertain systems with delays

A. H. Gelig, I. E. Zuber

St. Petersburg State University, St. Petersburg, Russia

Abstract: This paper deals with uncertain systems with delayed argument and having the property that the entries of the state matrix are functionals of arbitrary nature with the only available information being the bounds on their variations. Using quadratic Lyapunov–Krasovskii functionals of the special form, the control is designed such that it is robust against the variations in the plant matrix, the system output decays exponentially no matter what the persistent exogenous disturbance is, and the state vector remains bounded.

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

Received: 12.04.2010

 English version: Automation and Remote Control, 2011, 72:9, 1941–1950

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