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		Bugong XU.[en_title][J].Control Theory and Technology,2003,1(1):65~69.[Copy]

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BugongXU
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Stability criteria for linear systems with multiple time-varying delays

Bugong XU

(Laboratory of Real-Time Control Through Internet and Fieldbuses, College of Automation Science and Engineering, South China University of Technology, Guangzhou Guangdong 510640, China)

Abstract:

New delay-independent and deky-dependent stability criteria for linear systems with multiple time-varying delays are established by using the time-domain method. The results are derived based on a new-type stability theorem for general retarded dynamical systems and new analysis techniques developed in the author's previous work. Unlike some results in the literature, all of the established results do not depend on the derivative of time-varying dekys. Therefore, they are suitable for the case with very fast time-varying dekys. In addition, some remarks are also given to expkin the obtained results and to point out the limitations of the previous results in the literature.

Key words: Stability Deky-independent criteria Deky-dependent criteria Linear time-deky systems Multiple time-varying dekys