Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/7890
Title: Unidirectional synchronization for Hindmarsh-Rose neurons via robust adaptive sliding mode control
Authors: Che, YQ
Wang, J
Tsang, KM 
Chan, WL 
Keywords: Hindmarsh-Rose neuron
RBF neural network
Sliding mode
Synchronization control
Issue Date: 2010
Publisher: Pergamon-Elsevier Science Ltd
Source: Nonlinear analysis : real world applications, 2010, v. 11, no. 2, p. 1096-1104 How to cite?
Journal: Nonlinear Analysis: Real World Applications 
Abstract: 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.
URI: http://hdl.handle.net/10397/7890
DOI: 10.1016/j.nonrwa.2009.02.004
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