Abstract In this paper, based on the invariance principle of differential equations, we propose a simple adaptive control method to synchronize the network with coupling of the general form. Comparing with other control approaches, this scheme only depends on each node's state output. So we need not to know the concrete network structure and the solutions of the isolate nodes of the network in advance. In order to demonstrate the effectiveness of the method, a special example is provided and numerical simulations are performed. The numerical results show that our control scheme is very effective and robust against the weak noise.
Fund: Project supported by the National
Natural Science Foundation of China (Grant Nos 10472091, 10502042
and 10332030) and Graduate Starting Seed Fund of Northwestern
Polytechnical University, China (Grant No Z200655).
Cite this article:
Xiao Yu-Zhu(肖玉柱), Xu Wei(徐伟), Li Xiu-Chun(李秀春), and Tang Su-Fang(唐素芳) Complete synchronization of uncertain chaotic dynamical network via a simple adaptive control 2008 Chin. Phys. B 17 80
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