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

Yanqiu Che, Jiang Wang, Kai Ming Tsang, Wai Lok Chan

Research output: Contribution to journalArticlepeer-review

48 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)1096-1104
Number of pages9
JournalNonlinear Analysis: Real World Applications
Issue number2
StatePublished - Apr 2010

All Science Journal Classification (ASJC) codes

  • General Engineering
  • Computational Mathematics
  • Analysis
  • Applied Mathematics
  • General Economics, Econometrics and Finance


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