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Adaptive synchronization of a unified chaotic system

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  • Yu, Yongguang

Abstract

An adaptive controller is designed to make two uncertain unified chaotic systems be synchronized. The Lyapunov stability theory is used to substantiate the results. Numerical simulations are presented to show the feasibility and effectiveness of our approach.

Suggested Citation

  • Yu, Yongguang, 2008. "Adaptive synchronization of a unified chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 36(2), pages 329-333.
    • Handle: RePEc:eee:chsofr:v:36:y:2008:i:2:p:329-333
    DOI: 10.1016/j.chaos.2006.06.104
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    References listed on IDEAS

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    1. Park, Ju H., 2005. "Chaos synchronization of a chaotic system via nonlinear control," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 579-584.
    2. Park, Ju H., 2005. "Controlling chaotic systems via nonlinear feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 23(3), pages 1049-1054.
    3. Park, Ju H., 2005. "On synchronization of unified chaotic systems via nonlinear Control," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 699-704.
    4. Park, Ju H., 2005. "Stability criterion for synchronization of linearly coupled unified chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1319-1325.
    5. 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.
    6. Yu, Yongguang & Zhang, Suochun, 2005. "Global synchronization of three coupled chaotic systems with ring connection," Chaos, Solitons & Fractals, Elsevier, vol. 24(5), pages 1233-1242.
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    Cited by:

    1. H. Norouzi Nav & M. R. Jahed Motlagh & A. Makui, 2017. "Robust controlling of chaotic behavior in supply chain networks," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(6), pages 711-724, June.
    2. Pal, Pikaso & Mukherjee, V. & Alemayehu, Hinsermu & Jin, Gang Gyoo & Feyisa, Gosa, 2021. "Generalized adaptive backstepping sliding mode control for synchronizing chaotic systems with uncertainties and disturbances," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 190(C), pages 793-807.
    3. Shao, Shiquan, 2009. "Controlling general projective synchronization of fractional order Rossler systems," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1572-1577.

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