[1]严佳烨,周嘉颖,吴召艳*.离散时滞动力学网络的拓扑辨识[J].江西师范大学学报(自然科学版),2019,(01):39-43.[doi:10.16357/j.cnki.issn1000-5862.2019.01.08]
 YAN Jiaye,ZHOU Jiaying,WU Zhaoyan*.The Topology Identification of Discrete-Time Dynamical Network with Delay[J].Journal of Jiangxi Normal University:Natural Science Edition,2019,(01):39-43.[doi:10.16357/j.cnki.issn1000-5862.2019.01.08]
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离散时滞动力学网络的拓扑辨识()
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《江西师范大学学报》(自然科学版)[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2019年01期
页码:
39-43
栏目:
数学与应用数学
出版日期:
2019-02-10

文章信息/Info

Title:
The Topology Identification of Discrete-Time Dynamical Network with Delay
文章编号:
1000-5862(2019)01-0039-05
作者:
严佳烨周嘉颖吴召艳*
江西师范大学数学与信息科学学院,江西 南昌 330022
Author(s):
YAN JiayeZHOU JiayingWU Zhaoyan*
College of Mathematics and Informatics,Jiangxi Normal University,Nanchang Jiangxi 330022,China
关键词:
拓扑辨识 离散时滞 动力学网络
Keywords:
topology identification discrete-time dynamical networks
分类号:
O 231
DOI:
10.16357/j.cnki.issn1000-5862.2019.01.08
文献标志码:
A
摘要:
考虑离散时滞动力学网络的拓扑辨识问题.通过选取合适的参数自适应更新法则,设计有效的响应网络估计器来辨识网络中未知的或不确定的耦合矩阵,并利用Frobenius矩阵范数和Lasalle不变原理证明了该方法的可行性.值得注意的是,网络的耦合矩阵可以是有向加权的.2个数值例子验证了该方法的有效性.
Abstract:
Topology identification of discrete-time dynamical network with delay is considered.The effective response network estimator through choosing proper parameter adaptive updating laws is designed to identify unknown or uncertain coupling matrix.The method is proved to be effective according to Frobenius matrix norm and Lasalle's invariance principle.It's worth noting that the coupling matrix of network can be directed and weighted.The method is verified by two examples.

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备注/Memo

备注/Memo:
收稿日期:2018-10-15
基金项目:国家自然科学基金(61463022),江西省杰出青年人才资助计划(20171BCB23031)和江西省自然科学基金(20161BAB201021)资助项目.
通信作者:吴召艳(1979-),男,江苏徐州人,副教授,博士,主要从事复杂网络的结构辨识研究.E-mail:zhywu@jxnu.edu.cn
更新日期/Last Update: 2019-02-10