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IMA Journal of Mathematical Control and Information Advance Access originally published online on July 28, 2005
IMA Journal of Mathematical Control and Information 2006 23(1):97-111; 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.

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

Richard C. H. Lee1, C. W. Wong1, Cheng-Zhong Xu2, L. H. Yim3 and S. P. Yung3,**

1 Department of Mathematics, The University of Hong Kong, Hong Kong, P. R. China, 2 LAGEP, Bâtiment CPE, Université Claude Bernard-Lyon I, France, 3 Department of Mathematics, The University of Hong Kong, Hong Kong, P. R. China

** Email: spyung{at}hku.hk

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.

Received on 11 November 2003. revised on 13 January 2004. accepted on 21 January 2005.


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