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Zbl 1189.93077
Hu, Cheng; Jiang, Haijun; Teng, Zhidong
Fuzzy impulsive control and synchronization of general chaotic system. (English)
[J] Acta Appl. Math. 109, No. 2, 463-485 (2010). ISSN 0167-8019; ISSN 1572-9036/e

Summary: By utilizing impulsive control theory and T-S fuzzy model, the fuzzy impulsive control and synchronization of general chaotic system are proposed. Some less conservative and more general conditions are obtained to guarantee the globally asymptotical stability for the impulsive control and synchronization of general chaotic system based on T-S fuzzy model. Moreover, some criteria of globally exponential stability of chaotic system are also derived. Finally, some numerical simulations are given to demonstrate the effectiveness of the proposed control method.

MSC 2000:: *93C42 Fuzzy control
34H10
93C15 Control systems governed by ODE
93D20 Asymptotic stability of control systems
93C10 Nonlinear control systems

Keywords: chaotic system; T-S fuzzy control model; impulsive control; impulsive synchronization

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