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A less conservative robust stability test for linear uncertain time-delay systems

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3 Author(s)
Chong Lin ; Dept. of Electr. & Comput. Eng., Nat. Univ. of Singapore, Singapore ; Qing-Guo Wang ; Tong Heng Lee

This note concerns with the robust stability of linear uncertain systems with state-delay. The uncertainty is assumed to be of polytopic type. A less conservative delay-dependent linear matrix inequality (LMI) method is presented based on a new Lyapunov-Krasovskii functional. The present method incorporates a relaxed parameter-dependent technique combined with a recently proposed idea of introducing free-weighting matrices. When confined to delay-free case, the present result is also less conservative than existing stability tests using parameter-dependent methods. Numerical examples are given to show the less conservativeness of the results.

Published in:

Automatic Control, IEEE Transactions on  (Volume:51 ,  Issue: 1 )

Date of Publication:

Jan. 2006

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