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Synchronization of FitzHugh–Nagumo systems in EES via H∞ variable universe adaptive fuzzy control

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  • Wang, Jiang
  • Zhang, Zhen
  • Li, Huiyan

Abstract

In this paper, H∞ variable universe adaptive fuzzy control law is derived and applied to synchronize two FitzHugh—Nagumo neurons. Firstly, the different dynamical behavior of the nonlinear cable model based on the FitzHugh–Nagumo model responding to the various external electrical simulations (EES) is studied. Next, using the result of the analysis, a robust adaptive variable universe fuzzy control scheme is designed to synchronize two neurons. The computer simulations is provided for verify the efficiency of the designed synchronization scheme.

Suggested Citation

  • Wang, Jiang & Zhang, Zhen & Li, Huiyan, 2008. "Synchronization of FitzHugh–Nagumo systems in EES via H∞ variable universe adaptive fuzzy control," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1332-1339.
    • Handle: RePEc:eee:chsofr:v:36:y:2008:i:5:p:1332-1339
    DOI: 10.1016/j.chaos.2006.08.012
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    References listed on IDEAS

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    1. Almeida, David I. Rosas & Alvarez, Joaquín & Barajas, Juan Gonzalo, 2006. "Robust synchronization of Sprott circuits using sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 30(1), pages 11-18.
    2. El-Gohary, Awad & Yassen, Rizk, 2006. "Adaptive control and synchronization of a coupled dynamo system with uncertain parameters," Chaos, Solitons & Fractals, Elsevier, vol. 29(5), pages 1085-1094.
    3. Yu, Hongjie & Peng, Jianhua, 2006. "Chaotic synchronization and control in nonlinear-coupled Hindmarsh–Rose neural systems," Chaos, Solitons & Fractals, Elsevier, vol. 29(2), pages 342-348.
    4. Zhang, Guang-Jun & Xu, Jian-Xue, 2005. "Stochastic resonance induced by novel random transitions of motion of FitzHugh–Nagumo neuron model," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1439-1449.
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    Cited by:

    1. Nguyen, Le Hoa & Hong, Keum-Shik, 2011. "Synchronization of coupled chaotic FitzHugh–Nagumo neurons via Lyapunov functions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(4), pages 590-603.

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