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具有相似节点的耦合时滞复杂网络的稳定性与同步控制分析
引用本文:范永青 王银河,王青云 章云.具有相似节点的耦合时滞复杂网络的稳定性与同步控制分析[J].控制与决策,2013,28(2):247-252.
作者姓名:范永青 王银河  王青云 章云
作者单位:1. 广东工业大学自动化学院,广州510006
2. 北京航空航天大学航空科学与工程学院,北京100191
基金项目:广东省自然科学基金项目(8151009001000061);广东省自然科学基金团队项目(8351009001000002)
摘    要:讨论具有相似节点的耦合时滞复杂网络的稳定和同步问题,且网络模型的外部耦合满足耗散条件.对于不同维数节点的复杂网络,根据节点之间相似参量的信息,利用线性矩阵不等式方法设计出含有相似参量的分散控制器,给出耦合复杂网络实现稳定的时滞独立判定准则.定义了含有相似参量的同步流形的概念,并设计了相应的分散控制器,给出了能使整个复杂网络同步的时滞独立判定条件.数值算例表明了所提出设计方法的有效性.

关 键 词:复杂动态网络  稳定性  同步  分散控制  时滞
收稿时间:2011/8/28 0:00:00
修稿时间:2011/12/9 0:00:00

Control analysis of the stabilization and synchronization of coupling time-delay complex dynamical networks with similar nodes
FAN Yong-qing,WANG Yin-he,WANG Qing-yun,ZHANG Yun.Control analysis of the stabilization and synchronization of coupling time-delay complex dynamical networks with similar nodes[J].Control and Decision,2013,28(2):247-252.
Authors:FAN Yong-qing  WANG Yin-he  WANG Qing-yun  ZHANG Yun
Affiliation:1(1.Faculty of Automation,Guangdong University of Technology,Guangzhou 510006,China;2.Department of Dynamics and Control,Beihang University,Beijing 100191,China.)
Abstract:The stabilization and synchronization of complex dynamical networks with similar nodes and coupling time-
delay are investigated, and the out-coupling satisfies the condition of the dissipation. For the complex dynamical network
of different dimension node, the decentralized control strategies are designed in term of the information of the similar
parameters in complex dynamical networks by using the method of linear matrix inequality. A synchronization criterion
time delay independent of this model is given by the decentralized controller with similar parameters. The definition of
the synchronization manifold is proposed, and the time delay independent criterion of the synchronization of the complex
dynamical networks is derived. Finally, a numerical example is given to show the effectiveness of the designed method.
Keywords:complex dynamical network  stabilization  synchronization  decentralized control  time-delay
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