Unidirectional synchronization for Hindmarsh–Rose neurons via robust adaptive sliding mode control

This paper presents an adaptive neural network (NN) based sliding mode control for unidirectional synchronization of Hindmarsh–Rose (HR) neurons in a master–slave configuration. We first give the dynamics of single HR neuron which may exhibit spike-burst chaotic behaviors. Then we formulate the prob...

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Bibliographic Details
Published in:Nonlinear analysis: real world applications 2010-04, Vol.11 (2), p.1096-1104
Main Authors: Che, Yan-Qiu, Wang, Jiang, Tsang, Kai-Ming, Chan, Wai-Lok
Format: Article
Language:English
Subjects:
Hindmarsh–Rose neuron
RBF neural network
Sliding mode
Synchronization control
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Summary:This paper presents an adaptive neural network (NN) based sliding mode control for unidirectional synchronization of Hindmarsh–Rose (HR) neurons in a master–slave configuration. We first give the dynamics of single HR neuron which may exhibit spike-burst chaotic behaviors. Then we formulate the problem of unidirectional synchronization control of two HR neurons and propose a NN based sliding mode controller. The controller consists of two simple radial basis function (RBF) NNs which are used to approximate the desired sliding mode controller and the uncertain nonlinear part of the error dynamical system, respectively. The control scheme is robust to the uncertainties such as approximate errors, ionic channel noise and external disturbances. The simulation results demonstrate the validity of the proposed control method.
ISSN:1468-1218
1878-5719
DOI:10.1016/j.nonrwa.2009.02.004