Delay-Dependent Stability Criteria for Systems with Interval Time-Varying Delay. (11th October 2011)

• Record Type: Journal Article
• Authors: Li, Boren
• Other Names: Toker Onur Academic Editor.
• Is Part Of: Journal of control science and engineering. Volume 2011(2011)
• Publication Date: 2011-10-11
• Subjects: Control theory -- Periodicals; 629.831205
• DOI: 10.1155/2011/938749
• Languages: English
• ISSNs: 1687-5249

Abstract

Abstract : This paper is concerned with robust stability of uncertain linear systems with interval time-varying delay. The time-varying delay is assumed to belong to an interval, which means that the derivative of the time-varying delay has an upper bound or a restriction. On other occasions, if we do not take restriction on the derivative of the time-varying delay into consideration, it allows the delay to be a fast time-varying function. The uncertainty under consideration includes a polytopic-type uncertainty and a linear fractional norm-bounded uncertainty. In order to obtain much less conservative results, a new Lyapunov-Krasovskii functional, which makes use of the information of both the lower and upper bounds of the interval time-varying delay, is proposed to derive some new stability criteria. Numerical examples are given to demonstrate the effectiveness of the proposed stability criteria.