TY - GEN
T1 - Synchronization of inhibitory coupled Hindmarsh-Rose neurons via adaptive sliding mode control
AU - Che, Yanqiu
AU - Zhang, Shuzhou
AU - Wang, Jiang
AU - Cui, Shigang
AU - Han, Chunxiao
AU - Deng, Bin
AU - Wei, Xile
PY - 2011
Y1 - 2011
N2 - This paper presents an adaptive neural network (NN) sliding mode control for synchronization of inhibitory coupled Hindmarsh-Rose (HR) neurons. A single HR neuron may exhibit spike-burst chaotic behaviors. Inhibitory coupling makes two HR neurons behaves in anti-phase quasi-synchronization mode. We first derive the sliding mode controller via active control strategy. Then, a simple radial basis function (RBF) NN is designed to approximate the uncertain nonlinear part of the error dynamical system which has been assumed to be available in the active control. The weights of the NN are tuned on-line based on the sliding mode reaching law. According to the Lyapunov stability theory, the stability of the closed-loop error system is guaranteed. Synchronization is obtained by proper choice of the control parameters. The simulation results demonstrate the effectiveness of the proposed control method.
AB - This paper presents an adaptive neural network (NN) sliding mode control for synchronization of inhibitory coupled Hindmarsh-Rose (HR) neurons. A single HR neuron may exhibit spike-burst chaotic behaviors. Inhibitory coupling makes two HR neurons behaves in anti-phase quasi-synchronization mode. We first derive the sliding mode controller via active control strategy. Then, a simple radial basis function (RBF) NN is designed to approximate the uncertain nonlinear part of the error dynamical system which has been assumed to be available in the active control. The weights of the NN are tuned on-line based on the sliding mode reaching law. According to the Lyapunov stability theory, the stability of the closed-loop error system is guaranteed. Synchronization is obtained by proper choice of the control parameters. The simulation results demonstrate the effectiveness of the proposed control method.
UR - http://www.scopus.com/inward/record.url?scp=80053216234&partnerID=8YFLogxK
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U2 - 10.1109/ICICIP.2011.6008431
DO - 10.1109/ICICIP.2011.6008431
M3 - Conference contribution
AN - SCOPUS:80053216234
SN - 9781457708145
T3 - Proceedings of the 2nd International Conference on Intelligent Control and Information Processing, ICICIP 2011
SP - 1134
EP - 1139
BT - Proceedings of the 2nd International Conference on Intelligent Control and Information Processing, ICICIP 2011
T2 - 2nd International Conference on Intelligent Control and Information Processing, ICICIP 2011
Y2 - 25 July 2011 through 28 July 2011
ER -