Chaos synchronization of coupled neurons under external electrical stimulation using adaptive H∞ control

In this paper, H∞ 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 c...

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Bibliographic Details
Published in:Transactions of the Institute of Measurement and Control 2008-08, Vol.30 (3-4), p.225-238
Main Authors: Che, Yan-Qiu, Jiang Wang, Zhou, Si-Si, Bin Deng, Feng Dong
Format: Article
Language:English
Subjects:
Automation
Control systems
Electrical engineering
Neural networks
Simulation
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Summary:In this paper, H∞ 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.
ISSN:0142-3312
1477-0369
DOI:10.1177/0142331207088189