Chaos synchronization of a chain network based on a sliding mode control

doi:10.1088/1674-1056/22/10/100506

Abstract A sliding mode control approach is proposed to implement the synchronization of the chain tree network. The double-scroll circuit chaos systems are treated as nodes and the network is constructed with the state variable coupling. By selecting a switching sliding surface, the chaos synchronization of the network is achieved with one control input only. The stability analysis and the numerical simulations demonstrate that the complete synchronization in a chain network can be realized for all nodes.

Keywords: chaos synchronization sliding mode control Lyapunov stability double-scroll circuit

Received: 24 March 2013
Revised: 13 April 2013
Accepted manuscript online:

PACS:	05.45.Xt	(Synchronization; coupled oscillators)
	05.45.Pq	(Numerical simulations of chaotic systems)

Fund: Project supported by the State Key Program of the National Natural Science Foundation of China (Grant No. 11232009) and the Shanghai Leading Academic Discipline Project, China (Grant No. S30106).

Corresponding Authors: Chen Li-Qun
E-mail: lqchen@straff.shu.edu.cn

Cite this article:

Liu Shuang (柳爽), Chen Li-Qun (陈立群) Chaos synchronization of a chain network based on a sliding mode control 2013 Chin. Phys. B 22 100506

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