Abstract
This paper concerns the robust stability analysis of uncertain systems with time delays as random variables drawn from some probability distribution. The delay-distribution-dependent criteria for the exponential stability of the original system in mean square sense are achieved by Lyapunov functional method and the linear matrix inequality (LMI) technique. The proposed approach involves neither free weighting matrices nor any model transformation, and it shows that the new criteria can provide less conservative results than some existing ones. Numerical examples are given to demonstrate the effectiveness and the benefits of the proposed method.
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This work was supported by National Natural Science Foundation of China (No. 60874030), Natural Science Foundation of Jiangsu Province (No.BK2010293), Jiangsu Government Scholarship for Overseas Studies, and Natural Science Foundation of the Jiangsu Higher Education Institutions of China (No. 09KJB510018, no. 07KJB510125).
Jian-Jiang Yu graduated from Yancheng Teachers University, PRC in 1995. He received the M. Sc. degree from Yanzhou University, PRC in 2004 and the Ph.D. degree from the Southeast University, PRC in 2010. Currently, he is an associate professor in Yancheng Teachers University.
His research interests include time-delay systems, neural networks, and fuzzy control.
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Yu, JJ. Further results on delay-distribution-dependent robust stability criteria for delayed systems. Int. J. Autom. Comput. 8, 23–28 (2011). https://doi.org/10.1007/s11633-010-0550-4
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DOI: https://doi.org/10.1007/s11633-010-0550-4