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An observer-based anti-synchronization

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  • Li, Guo-Hui
  • Zhou, Shi-Ping

Abstract

Anti-synchronization is characterized by the phenomenon that the state vectors of synchronized systems have the same absolute values but opposite signs. By means of techniques from the classic state observer, an anti-phase synchronization of a class of chaotic systems is investigated in this Letter. Compared with other strategies, the technique presented here is rather simple and the convergence rate can be determined by adjusting the eigenvalues through the pole placement technique. Numerical simulations are provided to verify the effectiveness of the proposed methods.

Suggested Citation

  • Li, Guo-Hui & Zhou, Shi-Ping, 2006. "An observer-based anti-synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 29(2), pages 495-498.
    • Handle: RePEc:eee:chsofr:v:29:y:2006:i:2:p:495-498
    DOI: 10.1016/j.chaos.2005.08.030
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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. Wen, Guilin & Xu, Daolin, 2005. "Nonlinear observer control for full-state projective synchronization in chaotic continuous-time systems," Chaos, Solitons & Fractals, Elsevier, vol. 26(1), pages 71-77.
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    Cited by:

    1. Martínez-Guerra, Rafael & Pasaye, José Juan Rincón, 2009. "Synchronization and anti-synchronization of chaotic systems: A differential and algebraic approach," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 840-846.
    2. Grassi, Giuseppe, 2009. "Observer-based hyperchaos synchronization in cascaded discrete-time systems," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 1029-1039.
    3. El-Dessoky, M.M., 2009. "Synchronization and anti-synchronization of a hyperchaotic Chen system," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1790-1797.
    4. Elabbasy, E.M. & El-Dessoky, M.M., 2009. "Adaptive anti-synchronization of different chaotic dynamical systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2174-2180.

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