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Synchronization of two chaotic systems: Dynamic compensator approach

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  • Chen, Chang-Kuo
  • Lai, Tsung-Wen
  • Yan, Jun-Juh
  • Liao, Teh-Lu

Abstract

This study is concerned with the identical synchronization problem for a class of chaotic systems. A dynamic compensator is proposed to achieve the synchronization between master and slave chaotic systems using only the accessible output variables. A sufficient condition is also proposed to ensure the global synchronization. Furthermore, the strictly positive real (SPR) restriction, which is normally required in most of the observer-based synchronization schemes, is released in our approach. Two numerical examples are included to illustrate the proposed scheme.

Suggested Citation

  • Chen, Chang-Kuo & Lai, Tsung-Wen & Yan, Jun-Juh & Liao, Teh-Lu, 2009. "Synchronization of two chaotic systems: Dynamic compensator approach," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1055-1063.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:3:p:1055-1063
    DOI: 10.1016/j.chaos.2007.04.004
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    References listed on IDEAS

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    1. Wang, Jiang & Qiao, Guo-Dong & Deng, Bin, 2005. "Observer-based robust adaptive variable universe fuzzy control for chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 23(3), pages 1013-1032.
    2. Fotsin, Hilaire & Bowong, Samuel, 2006. "Adaptive control and synchronization of chaotic systems consisting of Van der Pol oscillators coupled to linear oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 27(3), pages 822-835.
    3. Yang, Yu & Ma, Xi-Kui & Zhang, Hao, 2006. "Synchronization and parameter identification of high-dimensional discrete chaotic systems via parametric adaptive control," Chaos, Solitons & Fractals, Elsevier, vol. 28(1), pages 244-251.
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