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Adaptive synchronization of Rossler and Lü systems with fully uncertain parameters

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  • Yassen, M.T.

Abstract

This work presents an adaptive control scheme for the synchronization of Rossler and Lü systems when the parameters of the drive system are fully uncertain or unknown and different with those of the response system. Based on Lyapunov stability theory, the sufficient conditions for the synchronization have been analyzed theoretically. Numerical simulations are shown to verify the results.

Suggested Citation

  • Yassen, M.T., 2005. "Adaptive synchronization of Rossler and Lü systems with fully uncertain parameters," Chaos, Solitons & Fractals, Elsevier, vol. 23(5), pages 1527-1536.
    • Handle: RePEc:eee:chsofr:v:23:y:2005:i:5:p:1527-1536
    DOI: 10.1016/j.chaos.2004.06.078
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    Cited by:

    1. Park, Ju H., 2005. "Adaptive synchronization of Rossler system with uncertain parameters," Chaos, Solitons & Fractals, Elsevier, vol. 25(2), pages 333-338.
    2. Chang, Wei-Der, 2007. "Parameter identification of Chen and Lü systems: A differential evolution approach," Chaos, Solitons & Fractals, Elsevier, vol. 32(4), pages 1469-1476.
    3. 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.
    4. Agiza, H.N. & Matouk, A.E., 2006. "Adaptive synchronization of Chua’s circuits with fully unknown parameters," Chaos, Solitons & Fractals, Elsevier, vol. 28(1), pages 219-227.
    5. El-Gohary, Awad, 2006. "Optimal synchronization of Rössler system with complete uncertain parameters," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 345-355.
    6. Yassen, M.T., 2005. "Controlling chaos and synchronization for new chaotic system using linear feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 913-920.

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