Unidirectional synchronization for Hindmarsh–Rose neurons via robust adaptive sliding mode control
- Resource Type
- Authors
- Jiang Wang; Kai Ming Tsang; Yanqiu Che; Wai Lok Chan
- Source
- Nonlinear Analysis: Real World Applications. 11:1096-1104
- Subject
- Variable structure control
Quantitative Biology::Neurons and Cognition
Artificial neural network
Computer science
Applied Mathematics
General Engineering
Chaotic
General Medicine
Sliding mode control
Synchronization
Computational Mathematics
Nonlinear system
Control theory
Radial basis function
General Economics, Econometrics and Finance
Analysis
- Language
- ISSN
- 1468-1218
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.