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A simple adaptive-feedback controller for chaos synchronization

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  • Guo, Wanli
  • Chen, Shihua
  • Zhou, Hong

Abstract

Based on the LaSalle’s invariant theorem and Lyapunov method, a simple scheme is proposed to synchronize chaotic systems. Unlike the usual linear feedback, this scheme uses the variable feedback which is automatically adapted to a updated law. Moreover, this scheme is analytical and simple to be implemented in practice. The well-known models such as Chen system and Lü system are used to illustrate the validity of this theoretic method.

Suggested Citation

  • Guo, Wanli & Chen, Shihua & Zhou, Hong, 2009. "A simple adaptive-feedback controller for chaos synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 39(1), pages 316-321.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:1:p:316-321
    DOI: 10.1016/j.chaos.2007.01.096
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    References listed on IDEAS

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    1. Liu, Zengrong & Luo, Jigui, 2006. "From lag synchronization to pattern formation in one-dimensional open flow models," Chaos, Solitons & Fractals, Elsevier, vol. 30(5), pages 1198-1205.
    2. Li, Changpin & Yan, Jianping, 2006. "Generalized projective synchronization of chaos: The cascade synchronization approach," Chaos, Solitons & Fractals, Elsevier, vol. 30(1), pages 140-146.
    3. Yueh, Wen-Chyuan & Cheng, Sui Sun, 2006. "Synchronization in an artificial neural network," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 734-747.
    4. Shahverdiev, E.M. & Hashimov, R.H. & Nuriev, R.A. & Hashimova, L.H. & Huseynova, E.M. & Shore, K.A., 2006. "Inverse chaos synchronization in linearly and nonlinearly coupled systems with multiple time-delays," Chaos, Solitons & Fractals, Elsevier, vol. 29(4), pages 838-844.
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    Cited by:

    1. Andrei Victor Oancea & Ilie Bodale, 2022. "Chaos Synchronization of Two Györgyi–Field Systems for the Belousov–Zhabotinsky Chemical Reaction," Mathematics, MDPI, vol. 10(21), pages 1-14, October.

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