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Synchronization of complex switched delay dynamical networks with simultaneously diagonalizable coupling matrices
  • ISSN号：2095-6983
  • 期刊名称：《控制理论与技术：英文版》
  • 时间：0
  • 分类：O174[理学—数学;理学—基础数学]
  • 作者机构：[1]Key Laboratory of Integrated Automation of Process Industry, Northeastern University, Shenyang Liaoning 110004, China
  • 相关基金：This work was supported by the National Natural Science Foundation of China （No.60874024, 60574013）.
作者： Tao LIU Jun ZHAO[1]
关键词： 指数函数, 同步化, 复合物动力学, 网络, Exponential synchronization, Complex dynamical network, Switching topology, Switched systems, Av-erage dwell time, Coupling delays, Simultaneously diagonalizable matrices
中文摘要：

这篇论文与经由交换系统稳定性理论交换拓扑学学习复杂推迟的网络的本地指数的同步。由一个普通单一的矩阵，首先，同步的问题被转变成一些线性交换延期系统的稳定性分析。然后，当所有子网是 synchronizable 时，足够的状况以在一个平均居住时间计划下面保证同步问题的解决之可能性的线性矩阵不平等(LMI ) 被给的一个延期依赖者。我们扩大这结果到并非所有子网是 synchronizable 的盒子。是否，除了平均居住时间被看那 synchronizable 和 non-synchronizable 子网的全部的激活时间的比率满足一个额外的条件，当时，这个问题也是可解决的。有交换拓扑学的推迟的动态网络的二个数字例子被给，它表明获得的结果的有效性。

英文摘要：

This paper studies local exponential synchronization of complex delayed networks with switching topology via switched system stability theory. First, by a common unitary matrix, the problem of synchronization is transformed into the stability analysis of some linear switched delay systems. Then, when all subnetworks are synchronizable, a delay-dependent sufficient condition is given in terms of linear matrix inequalities （LMIs） which guarantees the solvability of the synchronization problem under an average dwell time scheme. We extend this result to the case that not all subnetworks are synchronizable. It is shown that in addition to average dwell time, if the ratio of the total activation time of synchronizable and non-synchronizable subnetworks satisfy an extra condition, then the problem is also solvable. Two numerical examples of delayed dynamical networks with switching topology are given, which demonstrate the effectiveness of obtained results.

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期刊信息
  • 《控制理论与技术：英文版》
  • 主管单位:国家教育部
  • 主办单位:华南理工大学 中科院数学与系统科学研究院
  • 主编：胡跃明
  • 地址：广州市天河区五山路381号华南理工大学
  • 邮编：510640
  • 邮箱：jcta@scut.edu.cn
  • 电话：020-87111464
  • 国际标准刊号：ISSN：2095-6983
  • 国内统一刊号：ISSN：44-1706/TP
  • 邮发代号:46-319
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,美国工程索引
  • 被引量:69