时变时滞复杂网络的控制研究  

Synchronization for Time-varying Complex Networks Based on Control

作　　者：陈丽娟 唐勇奇[2] CHEN Li-juan;TANG Yong-qi(Hunan Institute of Engineering,Engineering Training Center,Xiang Tan,411100;Hunan Institute of Engineering,college of Electrical&information Engineering,Xiang Tan,411100,China)

机构地区：[1]湖南工程学院工程训练中心,湖南湘潭411100 [2]湖南工程学院电气信息学院,湖南湘潭411100

出　　处：《新型工业化》2017年第10期82-88,共7页The Journal of New Industrialization

摘　　要：复杂动态网络已经被各个领域高度重视,现已广泛使用于自然人工系统。本文利用新的控制策略研究了具有时变时滞和不随时间变化的复杂网络的同步问题。通过构造Lyapunov–Lyapunov-Krasovskii函数和有效的数学方法,得到了一些充分条件,这些充分条件能保证一些时变时滞和无时变时滞复杂网络达到同步稳定。最后,给出数学实例用来验证所提出方法的有效性。Complex dynamical networks have attracted significant attention from various fields for their extensive uses in modeling many natural and artificial systems.In this paper,the problem on synchronization is investigated for complex networks with time-varying delay and without time-varying delay by using new control strategy.Together with some Lyapunov–Krasovskii functions and effective mathematical techniques,several conditions are derived to guarantee a class of complex networks with timevarying and without time-varying delays to be synchronized.Finally,math examples are given to illustrate the effectiveness of the proposed methods.

关 键 词：时变时滞 复杂网络 同步 Lyapunov–Lyapunov-Krasovskii函数 

分 类 号：TP271.9[自动化与计算机技术—检测技术与自动化装置]