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Adaptive synchronization of uncertain hyperchaotic systems based on parameter identification

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  • Feng, Jianwen
  • Chen, Shihua
  • Wang, Changping

Abstract

In this paper, an approach of adaptive synchronization and parameters identification of hyperchaotic systems with linearly dependent uncertain parameters is proposed. The suggested tool proves to be globally and asymptotically stable by means of Lyapunov method. With this new and effective method, parameters identification and synchronization of hyperchaotic systems, with all the linear dependent system parameters unknown, can be achieved simultaneously. Theoretical proof and numerical simulation with Rössler hyperchaotic system demonstrate the effectiveness and feasibility of the proposed technique.

Suggested Citation

  • Feng, Jianwen & Chen, Shihua & Wang, Changping, 2005. "Adaptive synchronization of uncertain hyperchaotic systems based on parameter identification," Chaos, Solitons & Fractals, Elsevier, vol. 26(4), pages 1163-1169.
    • Handle: RePEc:eee:chsofr:v:26:y:2005:i:4:p:1163-1169
    DOI: 10.1016/j.chaos.2005.02.027
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    Cited by:

    1. Sun, Fengyun & Zhao, Yi & Zhou, Tianshou, 2007. "Identify fully uncertain parameters and design controllers based on synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1677-1682.
    2. Salarieh, Hassan & Alasty, Aria, 2008. "Adaptive chaos synchronization in Chua's systems with noisy parameters," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(3), pages 233-241.
    3. Behzad, Mehdi & Salarieh, Hassan & Alasty, Aria, 2008. "Chaos synchronization in noisy environment using nonlinear filtering and sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1295-1304.
    4. Salarieh, Hassan & Shahrokhi, Mohammad, 2008. "Adaptive synchronization of two different chaotic systems with time varying unknown parameters," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 125-136.

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