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Chaos synchronization of a chaotic system via nonlinear control

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  • Park, Ju H.

Abstract

In this letter, the problem of chaos synchronization of a chaotic system which is proposed by Lü et al. [Int J Bifurcat Chaos 2004;14:1507] is considered. A novel nonlinear controller is designed based on the Lyapunov stability theory. The proposed controller ensures that the states of the controlled chaotic slave system asymptotically synchronizes the states of the master system. A numerical example is given to illuminate the design procedure and advantage of the result derived.

Suggested Citation

  • Park, Ju H., 2005. "Chaos synchronization of a chaotic system via nonlinear control," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 579-584.
    • Handle: RePEc:eee:chsofr:v:25:y:2005:i:3:p:579-584
    DOI: 10.1016/j.chaos.2004.11.038
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    References listed on IDEAS

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    1. Park, Ju H., 2005. "Controlling chaotic systems via nonlinear feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 23(3), pages 1049-1054.
    2. Chen, Hsien-Keng, 2005. "Global chaos synchronization of new chaotic systems via nonlinear control," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1245-1251.
    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.
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