拓扑结构时变的复杂动态网络的自适应同步

doi:10.3969/j.issn.1001-2400.2015.02.017

J4 ›› 2015, Vol. 42 ›› Issue (2): 102-107.doi: 10.3969/j.issn.1001-2400.2015.02.017

拓扑结构时变的复杂动态网络的自适应同步

郝修清^1,2;李俊民¹

(1. 西安电子科技大学数学与统计学院，陕西西安 710071; 2. 西安石油大学理学院，陕西西安 710065)

收稿日期:2014-04-29 出版日期:2015-04-20 发布日期:2015-04-14
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 complex dynamical networks with unknown time-varying topological structures

HAO Xiuqing^1,2;LI Junmin¹

(1. School of Mathematics and Statistics, Xidian Univ., Xi'an 710071, China; 2. School of Science, Xi'an Shiyou Univ., Xi'an 710065, China)

Received:2014-04-29 Online:2015-04-20 Published:2015-04-14
Contact: HAO Xiuqing

摘要/Abstract

摘要： 对具有周期时变拓扑结构的复杂动态网络，设计了自适应同步方案．在所研究的复杂动态网络中，拓扑结构是未知的．采用周期自适应学习律对未知的时变耦合参数进行估计，同时加入自适应控制策略，使得复杂动态网络的状态达到同步．通过构造复合能量函数，得到同步的一个充分条件．通过数值算例表明所提出方案的有效性．

关键词: 同步, 复杂动态网络, 自适应控制, 时变拓扑结构

Abstract: An adaptive synchronization approach is proposed for complex dynamical networks with unknown periodically time-varying topological structures. A periodic adaptive learning mechanism is used to estimate the unknown time-varying coupling parameters. By designing adaptive controllers and constructing a composite energy function, a sufficient condition of synchronization for complex dynamical networks is achieved. Numerical example validates the effectiveness of the designed method.

Key words: synchronization, complex dynamical networks, adaptive control, time-varying topological structures

郝修清;李俊民. 拓扑结构时变的复杂动态网络的自适应同步 [J]. J4, 2015, 42(2): 102-107.

HAO Xiuqing;LI Junmin . Adaptive synchronization for complex dynamical networks with unknown time-varying topological structures [J]. J4, 2015, 42(2): 102-107.

参考文献

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拓扑结构时变的复杂动态网络的自适应同步

Adaptive synchronization for complex dynamical networks with unknown time-varying topological structures

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