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Volume 29 Issue 10
Jan.  2011
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Shan Liang, Zhang Gang, Li Jun, Wang Zhi-quan. Fuzzy Feedback Synchronization Method of a New Liu Chaotic System[J]. Journal of Electronics & Information Technology, 2007, 29(10): 2508-2511. doi: 10.3724/SP.J.1146.2006.00310
Citation: Shan Liang, Zhang Gang, Li Jun, Wang Zhi-quan. Fuzzy Feedback Synchronization Method of a New Liu Chaotic System[J]. Journal of Electronics & Information Technology, 2007, 29(10): 2508-2511. doi: 10.3724/SP.J.1146.2006.00310

Fuzzy Feedback Synchronization Method of a New Liu Chaotic System

doi: 10.3724/SP.J.1146.2006.00310
  • Received Date: 2006-03-17
  • Rev Recd Date: 2006-08-14
  • Publish Date: 2007-10-19
  • 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 , 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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