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Fuzzy Feedback Synchronization Method of a New Liu Chaotic System |
Shan Liang; Zhang Gang; Li Jun; Wang Zhi-quan |
School of Automation, Nanjing University of Science and Technology, Nanjing 210094, China |
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Abstract In this paper a newly-proposed Liu chaotic system(2004) is synchronized by using fuzzy feedback method. The structure of Liu chaotic system is different from other linear chaotic systems. Firstly based on T-S(Takagi-Sugeno) fuzzy model, Liu chaotic system is reconstructed. Secondly, using Lyapunov theory and feedback synchronization concept, the stability synchronization conditions of two reconstructed Liu systems are deduced. Moreover to the error system with the decay rate α, sufficient conditions of global asymptotic stability are given. Finally, satisfied simulation results based on Llinear Mmatrix Iinequality (LMI) method show the effectiveness and quickness of fuzzy feedback method proposed in this paper.
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Received: 17 March 2006
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