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Feedback and adaptive synchronization of chaotic Lü system

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  • Yassen, M.T.

Abstract

This paper treats chaos synchronization problem of chaotic Lü system. Two control approaches via a single variable are investigated, namely a linear feedback control and adaptive control. Based on Lyapunov stability theory, control laws are derived such that the two identical Lü systems are to be synchronized. In both cases sufficient conditions for the synchronization are obtained analytically. Numerical simulations are shown to verify the results.

Suggested Citation

  • Yassen, M.T., 2005. "Feedback and adaptive synchronization of chaotic Lü system," Chaos, Solitons & Fractals, Elsevier, vol. 25(2), pages 379-386.
    • Handle: RePEc:eee:chsofr:v:25:y:2005:i:2:p:379-386
    DOI: 10.1016/j.chaos.2004.11.042
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    References listed on IDEAS

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    1. Ian Stewart, 2000. "The Lorenz attractor exists," Nature, Nature, vol. 406(6799), pages 948-949, August.
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    Cited by:

    1. Chang, Wei-Der, 2006. "Parameter identification of Rossler’s chaotic system by an evolutionary algorithm," Chaos, Solitons & Fractals, Elsevier, vol. 29(5), pages 1047-1053.
    2. Liu, Bo & Wang, Ling & Jin, Yi-Hui & Huang, De-Xian & Tang, Fang, 2007. "Control and synchronization of chaotic systems by differential evolution algorithm," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 412-419.
    3. Zhang, Ting & Wang, Jiang & Fei, Xiangyang & Deng, Bin, 2007. "Synchronization of coupled FitzHugh–Nagumo systems via MIMO feedback linearization control," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 194-202.

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