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On a new time-delayed feedback control of chaotic systems

Author

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  • Tian, Lixin
  • Xu, Jun
  • Sun, Mei
  • Li, Xiuming

Abstract

In this paper, using the idea of the successive dislocation feedback method, a new time-delayed feedback control method called the successive dislocation time-delayed feedback control (SDTDFC) is designed. Firstly, the idea of SDTDFC is introduced. Then some analytic sufficient conditions of the chaos control from the SDTDFC approach are derived for stabilization. Finally, some established results are further clarified via a case study of the Lorenz system with the numerical simulations.

Suggested Citation

  • Tian, Lixin & Xu, Jun & Sun, Mei & Li, Xiuming, 2009. "On a new time-delayed feedback control of chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 39(2), pages 831-839.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:2:p:831-839
    DOI: 10.1016/j.chaos.2007.01.091
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    References listed on IDEAS

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    1. Sun, Mei & Tian, Lixin & Jiang, Shumin & Xu, Jun, 2007. "Feedback control and adaptive control of the energy resource chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1725-1734.
    2. Yassen, M.T., 2005. "Controlling chaos and synchronization for new chaotic system using linear feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 913-920.
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