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Impulsive synchronization of Lipschitz chaotic systems

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  • Chen, Yen-Sheng
  • Chang, Chien-Cheng

Abstract

Impulsive method is suitable for digital implementation of secure communication based on chaos synchronization. In the present study, it is assumed that the system satisfies the local Lipschitz condition where a Lipschitz constant is estimated a priori. An impulsive controller is shown to achieve synchronization of chaotic systems in the sense of exponential stability under one restriction relation (criterion). The Duffing two-well and the Rössler systems were simulated to illustrate the theoretical analysis.

Suggested Citation

  • Chen, Yen-Sheng & Chang, Chien-Cheng, 2009. "Impulsive synchronization of Lipschitz chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1221-1228.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:3:p:1221-1228
    DOI: 10.1016/j.chaos.2007.08.084
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    References listed on IDEAS

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    1. Shahverdiev, E.M. & Nuriev, R.A. & Hashimov, R.H. & Shore, K.A., 2005. "Parameter mismatches, variable delay times and synchronization in time-delayed systems," Chaos, Solitons & Fractals, Elsevier, vol. 25(2), pages 325-331.
    2. Feudel, F. & Witt, A. & Gellert, M. & Kurths, J. & Grebogi, C. & Sanjuán, M.A.F., 2005. "Intersections of stable and unstable manifolds: the skeleton of Lagrangian chaos," Chaos, Solitons & Fractals, Elsevier, vol. 24(4), pages 947-956.
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    Cited by:

    1. Zheng, G. & Boutat, D. & Floquet, T. & Barbot, J.P., 2009. "Secure communication based on multi-input multi-output chaotic system with large message amplitude," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1510-1517.

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