Technical communique: New stability criteria for linear systems with interval time-varying delay

By Xiefu Jiang, Qing-Long Han. 2008

185 citations recorded by the source corpus.

This paper investigates robust stability of uncertain linear systems with interval time-varying delay. The time-varying delay is assumed to belong to an interval and is a fast time-varying function. The uncertainty under consideration includes polytopic-type uncertainty and linear fractional norm-bounded uncertainty. 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 drive some new delay-dependent stability criteria. In order to obtain much less conservative results, a tighter bounding for some term is estimated. Moreover, no redundant matrix variable is introduced. Finally, three numerical examples are given to show the effectiveness of the proposed stability criteria.

Subfields: Computer Networks and Communications, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/ccc7f996d4d36fcf7ab9b6d4d5489b2bda357977

How researchers see this paper

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In Computer Networks and Communications

1. Junfeng Wu
2. Bing Li
3. James Lam
4. Zhiguang Feng

In Control and Systems Engineering

1. Junfeng Wu
2. Bing Li
3. James Lam
4. Zhiguang Feng

Citations in the corpus

• New stability criteria for linear systems with interval time-varying delay (2013, background): “Much research interest have been attracted in obtaining delay­ dependent stability criteria of time-delay systems in the last two decades, see, for example [1] [2] [3] [4] [5] [6] [7] [8] [9] [10] [11] [12].”