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Zbl 1065.37503
Wang, Yanwu; Guan, Zhihong; Wang, Hua O.
LMI-based fuzzy stability and synchronization of Chen's system. (English)
[J] Phys. Lett., A 320, No. 2-3, 154-159 (2003). ISSN 0375-9601

Summary: This Letter presents fuzzy model-based designs for Chen's chaotic stability and synchronization. The T-S fuzzy model for Chen's system is exactly derived. Then the asymptotic stability and synchronization are achieved by solving LMI's design problem. The fuzzy controllers for stability and synchronization with full state variables and single state variable are got respectively by solving LMIs using Matlab. Numerical simulations are shown to verify the results.

MSC 2000:: *37D45 Strange attractors, chaotic dynamics
93D05 Lyapunov and other classical stabilities of control systems
94C10 Switching theory

Keywords: asymptotic stability; LMI design problem; fuzzy controllers

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