一类自同步时变耗散耦合网络内耦合矩阵选择方法  

Choice of inner coupled matrix for a class of auto-synchronous diffusively coupled time-varying complex networks

作　　者：刘歌群[1] 许晓鸣[1] 

机构地区：[1]上海理工大学光电信息与计算机工程学院,上海200093

出　　处：《控制与决策》2012年第7期1003-1008,共6页Control and Decision

基　　金：国家自然科学基金项目(10975099);上海市重点学科建设项目(S30501);上海市科委重点攻关计划项目(072305126);上海市基础研究重点项目(09JC1408000);教育部博士点基金项目(20103120110008);上海理工大学光电信息与计算机工程学院教师创新能力建设项目(GDCX-Y-1212)

摘　　要：研究使一类时变耗散耦合复杂网络自同步的内耦合矩阵选择方法.在主稳定函数法的基础上,通过对节点变分方程系统阵的约当标准型进行分析,给出了几种适用于不同情况的内耦合矩阵选择方法,以同步速度为依据提出了较优内耦合矩阵的选择命题,并给出了相应的选择方法.最后以3个典型算例验证了所提出方法的有效性.This paper investigates the way to choice inner coupled matrix to ensure a class of diffusively coupled time-varying complex networks are auto-synchronous. The Jordan canonical form of system matrix of nodes in variational equations is analyzed based on master stability functions method. As a result, several ways to choice inner coupled matrix for different situations are proposed. Besides, the proposition to choice preferable inner coupled matrix according to synchronization speed of network is presented with the choice methods provided. Finally, three typical examples show the effectiveness of the proposed methods.

关 键 词：复杂网络 同步 耗散耦合 内耦合矩阵 时变 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]