变时滞多子网复杂网络系统交叉同步间歇控制  

Crossed Synchronization of Multiple Subnets Complex Network System with Time-varying Delay via Periodically Intermittent Control

作　　者：周笔锋 罗毅平[3,2] 

机构地区：[1]湖南电气职业技术学院,湖南湘潭411101 [2]湖南工程学院风电装备与电能变换协同创新中心,湖南湘潭411101 [3]湖南工程学院电气信息学院,湖南湘潭411101

出　　处：《信息与控制》2017年第5期513-518,524,共7页Information and Control

基　　金：国家自然科学基金资助项目(11372107;61174211);湖南省重点实验室项目

摘　　要：针对由多个子网络构成的双时变时滞复杂网络系统,首先给出子网间交叉同步定义,设计周期间歇控制器,讨论此类系统的同步稳定问题.利用李亚普诺夫稳定性理论并结合零点定理,得出了具有可变时滞特性复杂网络系统网络间同步指数稳定周期间歇控制器存在的充分条件.同时本文就复杂网络系统节点间关系进行了讨论,复杂网络系统中的两节点必须在满足连接且可相互影响的基础上才具有实际耦合强度.最后结合所给条件,给出一个数值仿真说明其有效性.Crossed synchronization is defined first in this paper.Then,for a two-time-varying delay complex network system formed by a plurality of sub-networks,this paper designs period intermittent control and discusses the crossed synchronization stability of such systems on the basis of crossed synchronization definition between the subnets.On the basis of Lyapunov stability theorem and zero point theorem,the sufficient condition in which the synchronization of exponentially stable controllers in complex network systems with variable delay is obtained.The relationship between the complex network nodes is discussed.Two nodes in a complex network system with actual coupling strength must connect and interact.In combination with the given conditions,a numerical simulation illustrates the effectiveness of the control.

关 键 词：复杂网络 交叉同步 间歇控制 时变时滞 

分 类 号：O157.5[理学—数学] TP13[理学—基础数学]