A survey of linear matrix inequality techniques in stability analysis of delay systems

Authors:
Shengyuan Xu;James Lam
Affiliations:
School of Automation, Nanjing University of Science and Technology, Nanjing, P.R. China;Department of Mechanical Engineering, University of Hong Kong, Hong Kong
Venue:
International Journal of Systems Science
Year:
2008

Citing 34
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Abstract

Recent years have witnessed a resurgence of research interests in analysing the stability of time-delay systems. Many results have been reported using a variety of approaches and techniques. However, much of the focus has been laid on the use of the Lyapunov-Krasovskii theory to derive sufficient stability conditions in the form of linear matrix inequalities. The purpose of this article is to survey the recent results developed to analyse the asymptotic stability of time-delay systems. Both delay-independent and delay-dependent results are reported in the article. Special emphases are given to the issues of conservatism of the results and computational complexity. Connections of certain delay-dependent stability results are also discussed.