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IMA Journal of Mathematical Control and Information Advance Access originally published online on December 19, 2008
IMA Journal of Mathematical Control and Information 2009 26(1):45-58; doi:10.1093/imamci/dnn012
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© The author 2008. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Delay-dependent dissipativity of singular time-delay systems

Magdi S. Mahmoud{dagger}

Systems Engineering Department, King Fahd University of Petroleum and Minerals, PO Box 985, Dhahran 31261, Saudi Arabia

{dagger} Email: msmahmoud{at}kfupm.edu.sa

Received on September 21, 2007; Revision received March 10, 2008. Accepted on April 30, 2008

In this paper, new results are established for the delay-dependent problems of dissipative analysis and state-feedback synthesis of singular time-delay (STD) systems with polytopic uncertainties. The developed results for the nominal singular system encompass available results on H{infty} approach, passivity and positive realness for STD systems as special cases. All the sufficient stability conditions are cast as linear matrix inequality-based feasibility tests. Robust dissipativity results are also derived. Numerical examples are provided.

Keywords: disspativity; dissipative control; time-delay systems; singular systems; state feedback; LMI.


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