TY - GEN
T1 - Chaos synchronization of coupled FitzHugh-Nagumo neurons via adaptive sliding mode control
AU - Che, Yanqiu
AU - Cui, Shi Gang
AU - Wang, Jiang
AU - Deng, Bin
AU - Wei, Xi Le
PY - 2011
Y1 - 2011
N2 - In this paper, an adaptive neural network (NN) sliding mode controller is proposed to realize the chaos synchronization of two gap junction coupled FitzHugh-Nagumo (FHN) neurons under external electrical stimulation. 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 weights of these NNs are tuned online based on the sliding mode reaching law. According to the Lyapunov stability theory, the stability of the closed error system is guaranteed. The control scheme is robust to the uncertainties such as approximate error, ionic channel noise and external disturbances. Chaos synchronization are obtained by proper choice of the control parameters. The simulation results demonstrate the effectiveness of the proposed control method.
AB - In this paper, an adaptive neural network (NN) sliding mode controller is proposed to realize the chaos synchronization of two gap junction coupled FitzHugh-Nagumo (FHN) neurons under external electrical stimulation. 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 weights of these NNs are tuned online based on the sliding mode reaching law. According to the Lyapunov stability theory, the stability of the closed error system is guaranteed. The control scheme is robust to the uncertainties such as approximate error, ionic channel noise and external disturbances. Chaos synchronization are 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=79952829222&partnerID=8YFLogxK
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U2 - 10.1109/ICMTMA.2011.173
DO - 10.1109/ICMTMA.2011.173
M3 - Conference contribution
AN - SCOPUS:79952829222
SN - 9780769542966
T3 - Proceedings - 3rd International Conference on Measuring Technology and Mechatronics Automation, ICMTMA 2011
SP - 684
EP - 687
BT - Proceedings - 3rd International Conference on Measuring Technology and Mechatronics Automation, ICMTMA 2011
T2 - 3rd International Conference on Measuring Technology and Mechatronics Automation, ICMTMA 2011
Y2 - 6 January 2011 through 7 January 2011
ER -