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Synchronization of Ghostburster neuron in external electrical stimulation via H∞ variable universe fuzzy adaptive control

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  • Wang, Jiang
  • Chen, Lisong
  • Deng, Bin

Abstract

In this paper, H∞ variable universe fuzzy adaptive control law is derived and applied to synchronize two unidirectional coupled Ghostbursters neurons under external electrical stimulation. Firstly, the dynamical behavior of the nonlinear Ghostburster model responding to various external electrical stimulations is studied. Then, using the results of the analysis, a robust adaptive variable universe fuzzy control scheme is designed to synchronize two unidirectional coupled neurons. Numerical simulations demonstrate the validity and feasibility of the proposed method.

Suggested Citation

  • Wang, Jiang & Chen, Lisong & Deng, Bin, 2009. "Synchronization of Ghostburster neuron in external electrical stimulation via H∞ variable universe fuzzy adaptive control," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2076-2085.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:5:p:2076-2085
    DOI: 10.1016/j.chaos.2007.06.070
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    References listed on IDEAS

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    1. Cornejo-Pérez, Octavio & Femat, Ricardo, 2005. "Unidirectional synchronization of Hodgkin–Huxley neurons," Chaos, Solitons & Fractals, Elsevier, vol. 25(1), pages 43-53.
    2. 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.
    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.
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