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Robust chaos synchronization of noise-perturbed chaotic systems with multiple time-delays

Author

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  • Cheng, Chun-Kai
  • Kuo, Hang-Hong
  • Hou, Yi-You
  • Hwang, Chi-Chuan
  • Liao, Teh-Lu

Abstract

The aim of this paper is to propose an output coupling and feedback scheme, which is not only to guarantee the asymptotic synchronization between the master and the slave chaotic systems with multiple time-delays but also to attenuate the effects of noise perturbation on the overall error system to a prescribed level in terms of the performance index H∞-norm. The output coupling and feedback gain is derived on the basis of the Lyapunov theory and the linear matrix inequality (LMI) technique. Some numerical examples are given to demonstrate the effectiveness of the main results.

Suggested Citation

  • Cheng, Chun-Kai & Kuo, Hang-Hong & Hou, Yi-You & Hwang, Chi-Chuan & Liao, Teh-Lu, 2008. "Robust chaos synchronization of noise-perturbed chaotic systems with multiple time-delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(13), pages 3093-3102.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:13:p:3093-3102
    DOI: 10.1016/j.physa.2008.02.010
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    References listed on IDEAS

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    1. Cao, Jinde & Li, H.X. & Ho, Daniel W.C., 2005. "Synchronization criteria of Lur’e systems with time-delay feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1285-1298.
    2. Park, Ju H. & Kwon, O.M., 2006. "Guaranteed cost control of time-delay chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 27(4), pages 1011-1018.
    3. Yau, Her-Terng & Chen, Chieh-Li, 2006. "Chattering-free fuzzy sliding-mode control strategy for uncertain chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 709-718.
    4. Hou, Yi-You & Liao, Teh-Lu & Yan, Jun-Juh, 2007. "H∞ synchronization of chaotic systems using output feedback control design," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 379(1), pages 81-89.
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