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Delay-probability-distribution-dependent robust stability analysis for a class of stochastic system with time-varying delay

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3 Author(s)
Ya-Jun Li ; Sch. of Autom. Sci. & Eng., South China Univ. of Technol., Guangzhou, China ; Fei-Qi Deng ; Yun-Jian Peng

The delay-probability-distribution-dependent robust stability problem for a class of uncertain stochastic system with time-varying delay is investigated. The information of probability distribution of the time delay is considered and transformed into parameter matrices of the transferred stochastic model. Based on the Lyapunov--Krasovskii functional and stochastic stability theory , a delay-probability-distribution-dependent sufficient condition is obtained by the form of the linear matrix inequality (LMI) format such that delayed stochastic systems are robustly globally asymptotically stable in the mean-square sense for all admissible uncertainties. Finally, numerical examples are given to illustrate the effectiveness and less conservativeness of the proposed method.

Published in:

Intelligent Control and Automation (WCICA), 2010 8th World Congress on

Date of Conference:

7-9 July 2010