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Synchronizing chaotic systems using control based on tridiagonal structure

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  • Liu, Bin
  • Zhou, Yiming
  • Jiang, Min
  • Zhang, Zengke

Abstract

The direct design approach based on tridiagonal structure combines the structure analysis with the design of stabilizing controller and the original nonlinear affine systems is transformed into a stable system with special tridiagonal structure using the method. In this study, the direct method is proposed for synchronizing chaotic systems. There are several advantages in this method for synchronizing chaotic systems: (a) it presents an easy procedure for selecting proper controllers in chaos synchronization; (b) it constructs simple controllers easy to implement. Examples of Lorenz system, Chua’s circuit and Duffing system are presented.

Suggested Citation

  • Liu, Bin & Zhou, Yiming & Jiang, Min & Zhang, Zengke, 2009. "Synchronizing chaotic systems using control based on tridiagonal structure," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2274-2281.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:5:p:2274-2281
    DOI: 10.1016/j.chaos.2007.06.099
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    References listed on IDEAS

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    1. Li, Guo-Hui, 2006. "Generalized projective synchronization of two chaotic systems by using active control," Chaos, Solitons & Fractals, Elsevier, vol. 30(1), pages 77-82.
    2. Park, Ju H., 2006. "Synchronization of Genesio chaotic system via backstepping approach," Chaos, Solitons & Fractals, Elsevier, vol. 27(5), pages 1369-1375.
    3. Li, Guo-Hui, 2006. "Projective synchronization of chaotic system using backstepping control," Chaos, Solitons & Fractals, Elsevier, vol. 29(2), pages 490-494.
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    Cited by:

    1. Cuimei Jiang & Shutang Liu, 2017. "Synchronization and Antisynchronization of -Coupled Complex Permanent Magnet Synchronous Motor Systems with Ring Connection," Complexity, Hindawi, vol. 2017, pages 1-15, January.

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