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Improved delay-dependent stability conditions and H control for jump time-delay systems

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3 Author(s)
Yong-Yan Cao ; Dept. of Control Eng., Zhejiang Univ., Hangzhou, China ; Wenjun Yan ; Anke Xue

This paper considers the problem of stochastic stability and H control for time-delay systems with randomly Markovian jumping parameters. A new approach is proposed to analyze the delay-dependent condition on the stochastic stability by the stochastic Lyapunov-Krasovskii functional approach. It is shown that this new stochastic stability condition combines the so-called delay-independent and delay-dependent conditions. The H disturbance attenuation problem of the systems is also addressed. A numerical example illustrates the effectiveness of the proposed approach, and the conservativeness is compared with existing results.

Published in:

Decision and Control, 2004. CDC. 43rd IEEE Conference on  (Volume:5 )

Date of Conference:

14-17 Dec. 2004