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Transactions of the Institute of Measurement and Control
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Chaos synchronization of coupled neurons under external electrical stimulation using adaptive H{infty} control

Yan-Qiu Che

School of Electrical Engineering and Automation, Tianjin University, Tianjin 300072, P.R. China

Jiang Wang

School of Electrical Engineering and Automation, Tianjin University, Tianjin 300072, P.R. China, jiangwang{at}tju.edu.cn

Si-Si Zhou

School of Electrical Engineering and Automation, Tianjin University, Tianjin 300072, P.R. China

Bin Deng

School of Electrical Engineering and Automation, Tianjin University, Tianjin 300072, P.R. China

Feng Dong

School of Electrical Engineering and Automation, Tianjin University, Tianjin 300072, P.R. China

In this paper, H{infty} control via an adaptive neural network approach is proposed to realize the synchronization of two gap junction coupled chaotic FitzHugh—Nagumo (FHN) neurons under external electrical stimulation. The control scheme is robust to the uncertainties such as unmodelled dynamics, ionic channel noise and external disturbances. Asymptotic chaos synchronization is obtained by proper choice of the control parameters. The simulation results demonstrate the effectiveness of the proposed control method.

Key Words: chaos synchronization • FitzHugh—Nagumo (FHN) model • H{infty} control • neural networks • synchronization control.

Transactions of the Institute of Measurement and Control, Vol. 30, No. 3-4, 225-238 (2008)
DOI: 10.1177/0142331207088189
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