Adaptive synchronization control of coupled chaotic neurons in an external electrical stimulation  

作　　者：于海涛 王江 邓斌 魏熙乐 陈颖源 

机构地区：[1]School of Electrical Engineering and Automation,Tianjin University

出　　处：《Chinese Physics B》2013年第5期620-625,共6页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant Nos. 61072012, 61104032, and 61172009);the Young Scientists Fund of the National Natural Science Foundation of China (Grant Nos. 60901035 and 50907044)

摘　　要：In this paper we present a combined algorithm for the synchronization control of two gap junction coupled chaotic FitzHugh-Nagumo （FHN） neurons in an external electrical stimulation. The controller consists of a combination of dynam- ical sliding mode control and adaptive backstepping control. The combined algorithm yields an adaptive dynamical sliding mode control law which has the advantage over static sliding mode-based controllers of being chattering-free, i.e., a suffi- ciently smooth control input signal is generated. It is shown that the proposed control scheme can not only compensate for the system uncertainty, but also guarantee the stability of the synchronized error system. In addition, numerical simulations are also performed to demonstrate the effectiveness of the proposed adaptive controller.In this paper we present a combined algorithm for the synchronization control of two gap junction coupled chaotic FitzHugh-Nagumo （FHN） neurons in an external electrical stimulation. The controller consists of a combination of dynam- ical sliding mode control and adaptive backstepping control. The combined algorithm yields an adaptive dynamical sliding mode control law which has the advantage over static sliding mode-based controllers of being chattering-free, i.e., a suffi- ciently smooth control input signal is generated. It is shown that the proposed control scheme can not only compensate for the system uncertainty, but also guarantee the stability of the synchronized error system. In addition, numerical simulations are also performed to demonstrate the effectiveness of the proposed adaptive controller.

关 键 词：FitzHugh-Nagumo neuron SYNCHRONIZATION adaptive control 

分 类 号：O415.5[理学—理论物理] O231[理学—物理]