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		Yingmin JIA,Hideki Kokame.[en_title][J].Control Theory and Technology,2003,1(1):70~76.[Copy]

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YingminJIA,HidekiKokame
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Improved LMI representations for delay-independent and delay-dependent stability conditions

Yingmin JIA, Hideki Kokame

(The Seventh Research Division, BeiHang University,Beijing 100083,China;Department of Electrical & Electronic Systems, Osaka Prefecture University, Gakuen-cho 1 - 1, Sakai, Osaka 599 - 8531, Japan)

Abstract:

Some new linear matrix inequality (LMI) representations for delay-independent and delay-dependent stability conditions are obtained by introducing additional matrices and eliminating the product coupling of the system matrices and the Lya-punov matrices. The results improve conservativeness of the given conditions for the analysis and the design of tune-delay systems with polytopic-type uncertainty.

Key words: Improved LMIs Polytopic-type uncertainty Robust control Time-delay systems