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IMA Journal of Mathematical Control and Information Advance Access published online on July 28, 2005
IMA Journal of Mathematical Control and Information, doi:10.1093/imamci/dni046
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© The author 2005. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.
Received November 11, 2003
Revised January 13, 2004
Accepted January 21, 2005

Article

A Lyapunov-type condition for robust feedback stability of delay control systems

Richard C. H. Lee 1, C. W. Wong 1, Cheng-Zhong Xu 2, L. H. Yim 1, and S. P. Yung 1*

1 Department of Mathematics, The University of Hong Kong, Hong Kong, P. R. China
2 LAGEP, Bâtiment CPE, Université Claude Bernard-Lyon I, France

* To whom correspondence should be addressed.
S. P. Yung, E-mail: spyung{at}hku.hk


  Abstract

In this paper, we show that a delay control system can be robustly stabilized by certain closed-loop feedback if a Lyapunov-type condition is fulfilled.

Keywords: time-delay systems; robust stabilizability; Lyapunov function; selection theorem.
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