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

doi:10.1088/1674-1056/22/5/058701

Abstract In this paper we present a combined algorithm for the synchronization control of two gap junction coupled chaotic FitzHugh-Nagumo (FHN) neurons in the external electrical stimulation. The controller consists of a combination of dynamical sliding mode control and adaptive backstepping control. The combined algorithm yields an adaptive dynamical sliding mode control law which has advantages over static sliding mode-based controller of chattering-free, i.e., a sufficiently 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.

Keywords: FitzHugh-Nagumo neuron synchronization adaptive control

Received: 26 September 2012
Revised: 04 November 2012
Accepted manuscript online:

PACS:

87.19.lm

(Synchronization in the nervous system)

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

Corresponding Authors: Wang Jiang
E-mail: jiangwang@tju.edu.cn

Cite this article:

Yu Hai-Tao (于海涛), Wang Jiang (王江), Deng Bin (邓斌), Wei Xi-Le (魏熙乐), Chen Ying-Yuan (陈颖源) Adaptive synchronization control of coupled chaotic neurons in the external electrical stimulation 2013 Chin. Phys. B 22 058701

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

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