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Fuzzy stability and synchronization of hyperchaos systems

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  • Wang, Junwei
  • Xiong, Xiaohua
  • Zhao, Meichun
  • Zhang, Yanbin

Abstract

This paper studies stability and synchronization of hyperchaos systems via a fuzzy-model-based control design methodology. First, we utilize a Takagi–Sugeno fuzzy model to represent a hyperchaos system. Second, we design fuzzy-model-based controllers for stability and synchronization of the system, based on so-called “parallel distributed compensation (PDC)”. Third, we reduce a question of stabilizing and synchronizing hyperchaos systems to linear matrix inequalities (LMI) so that convex programming techniques can solve these LMIs efficiently. Finally, the generalized Lorenz hyperchaos system is employed to illustrate the effectiveness of our designing controller.

Suggested Citation

  • Wang, Junwei & Xiong, Xiaohua & Zhao, Meichun & Zhang, Yanbin, 2008. "Fuzzy stability and synchronization of hyperchaos systems," Chaos, Solitons & Fractals, Elsevier, vol. 35(5), pages 922-930.
    • Handle: RePEc:eee:chsofr:v:35:y:2008:i:5:p:922-930
    DOI: 10.1016/j.chaos.2006.05.087
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    Cited by:

    1. Zhang, Xiaohong & Khadra, Anmar & Li, Dong & Yang, Dan, 2009. "Impulsive stability of chaotic systems represented by T-S model," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1863-1869.
    2. Zhang, Xiaohong & Khadra, Anmar & Yang, Dan & Li, Dong, 2009. "Analysis and design for unified exponential stability of three different impulsive T–S fuzzy systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1559-1566.

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