[1]吴雪飞,徐晨.基于牵制控制的一类线性耦合复杂网络同步[J].深圳大学学报理工版,2011,28(No.5(377-470)):460-465.
 WU Xue-fei and XU Chen.The synchronization of a dynamic complex network with linear coupling[J].Journal of Shenzhen University Science and Engineering,2011,28(No.5(377-470)):460-465.
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基于牵制控制的一类线性耦合复杂网络同步()
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《深圳大学学报理工版》[ISSN:1000-2618/CN:44-1401/N]

卷:
第28卷
期数:
2011年No.5(377-470)
页码:
460-465
栏目:
数学与应用数学
出版日期:
2011-09-20

文章信息/Info

Title:
The synchronization of a dynamic complex network with linear coupling
文章编号:
1000-2618(2011)05-0460-06
作者:
吴雪飞12徐晨1
1)深圳大学信息工程学院,深圳 518060
2)深圳职业技术学院计算机与软件工程学院,深圳 518055
Author(s):
WU Xue-fei12 and XU Chen1
1)College of Information Engineering, Shenzhen University, Shenzhen 518060, P.R.China
2)School of Electronic and Information Engineering, Shenzhen Polytechnic, Shenzhen 518055, P.R.China
关键词:
动力系统全局指数同步牵制控制自适应反馈控制复杂网络李雅普诺夫稳定性理论
Keywords:
dynamical systemglobally exponentially synchronizationpinning controladaptive feedback controlcomplex networkLyapunov theory 
分类号:
O 261
文献标志码:
A
摘要:
对一类线性耦合动态复杂网络的同步问题进行研究.通过对其部分节点的牵制控制实现该复杂网络所有节点均趋于同一状态,给出该复杂网络达到全局指数同步的条件,运用李雅普诺夫稳定性理论给出严格证明.为克服实现网络同步所需耦合强度较大的弊端,利用自适应方法对网络耦合强度进行调节,在实现网络同步时获得较小的耦合强度.数值实验结果进一步验证了理论结果的有效性.
Abstract:
The synchronization of a dynamic complex network with linear coupling was investigated.Firstly, we synchronized all of the nodes of complex networks to its homogeneous state by pinning parts of nodes.We gave conditions of globally exponential synchronization of such complex networks as we proved our theorem about such conditions by using Lyapunov theory.Secondary, we adjusted the coupling strength of the network by utilizing an adaptive method in order to overcome the shortcoming that network synchronization needs the large coupling strength.Finally,several numerical examples were provided to verify our theorems.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期:2010-12-23;修回日期:2011-05-23
基金项目:国家自然科学基金资助项目(61070087);深圳市基础研究计划资助项目(JC200903120040A)
作者简介:吴雪飞(1979-),女(汉族),江苏省徐州市人,深圳大学博士研究生.E-mail:wuxuefei@szpt.edu.cn
通讯作者:徐晨(1965-),男(汉族),深圳大学教授、博士生导师.E-mail:xuchen_szu@szu.edu.cn
更新日期/Last Update: 2011-09-23