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Proceedings of 2009 International Workshop on Information Security and Application (IWISA 2009)

Qingdao, China, November 21-22, 2009

Editors: Feng Gao and Xijun Zhu

AP Catalog Number: AP-PROC-CS-09CN004

ISBN: 978-952-5726-06-0

Page(s): 19-21

Robust Stability of Singularly Perturbed Systems with State Delays

Li-Li Liu, Ji-Gen Peng, and Bao-Wei Wu

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In this paper, robust stability of uncertain singularly perturbed systems with state delays is studied. Based on Lyapunov-Krasovskii stability theorem and linear matrix inequality (LMI) technique, sufficient conditions are given to guarantee that systems are asymptotically stable, and explicit stability bounds are attained by solving convex optimization problem. Numerical example is presented to show the application of the proposed techniques.

Index Terms

singularly perturbed systems; delay; robust stability

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