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

• 研究论文 • 上一篇    下一篇

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   

  1. (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   

  1. (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:

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