中国物理B ›› 2008, Vol. 17 ›› Issue (1): 80-86.doi: 10.1088/1674-1056/17/1/015

• GENERAL • 上一篇    下一篇

Complete synchronization of uncertain chaotic dynamical network via a simple adaptive control

肖玉柱, 徐伟, 李秀春, 唐素芳   

  1. Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, China
  • 出版日期:2008-01-20 发布日期:2008-01-20
  • 基金资助:
    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).

Complete synchronization of uncertain chaotic dynamical network via a simple adaptive control

Xiao Yu-Zhu(肖玉柱)†, Xu Wei(徐伟), Li Xiu-Chun(李秀春), and Tang Su-Fang(唐素芳)   

  1. Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, China
  • Online:2008-01-20 Published:2008-01-20
  • Supported by:
    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).

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摘要： 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.

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.

Key words: complete synchronization, adaptive control, dynamical network

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
05.45.Gg (Control of chaos, applications of chaos)