非一致节点的未知复杂动态网络的自适应同步

doi:10.3969/j.issn.1001-2400.2014.04.013

J4 ›› 2014, Vol. 41 ›› Issue (4): 71-76.doi: 10.3969/j.issn.1001-2400.2014.04.013

非一致节点的未知复杂动态网络的自适应同步

郝修清;李俊民

(西安电子科技大学数学与统计学院，陕西西安 710071)

收稿日期:2013-10-11 出版日期:2014-08-20 发布日期:2014-09-25
通讯作者: 郝修清
作者简介:郝修清(1980-)，男，西安电子科技大学博士研究生,E-mail:haoxq1980@163.com．
基金资助:
国家自然科学基金资助项目(60974139)；教育部博士点基金资助项目(JY0300137002, 20130203110021)

Adaptive synchronization for unknown complex dynamical networks with non-identical nodes

HAO Xiuqing;LI Junmin

(School of Mathematics and Statistics, Xidian Univ., Xi'an 710071， China)

Received:2013-10-11 Online:2014-08-20 Published:2014-09-25
Contact: HAO Xiuqing

摘要/Abstract

摘要：

对非一致节点的非线性耦合时变时滞未知复杂动态网络，运用学习控制方法实现自适应同步．采用信号置换技术对系统方程进行重构，将所有的未知时变项合并为1个周期时变向量，设计周期自适应学习律估计该向量．通过构造复合能量函数，得到同步的1个充分条件和所有信号的有界性．通过1个数值算例证明了所提出方法的有效性．

关键词: 同步, 复杂动态网络, 非一致节点, 自适应学习控制

Abstract:

An adaptive synchronization approach for unknown complex dynamical networks with non-identical nodes and nonlinear coupling with time-varying delays is proposed via learning control. By using the signal replacement technique and reconstructing the system equation, all unknown time-varying terms are combined into a periodically time-varying vector which is estimated by a periodic adaptive learning mechanism. A sufficient condition for the synchronization and boundedness of all signals are given by constructing a composite energy function. Finally, a numerical example is given to show the effectiveness of the designed method.

Key words: synchronization, complex dynamical networks, non-identical nodes, adaptive learning control

中图分类号:

TP273

郝修清;李俊民. 非一致节点的未知复杂动态网络的自适应同步[J]. J4, 2014, 41(4): 71-76.

HAO Xiuqing;LI Junmin. Adaptive synchronization for unknown complex dynamical networks with non-identical nodes[J]. J4, 2014, 41(4): 71-76.

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非一致节点的未知复杂动态网络的自适应同步

Adaptive synchronization for unknown complex dynamical networks with non-identical nodes

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