Stability Analysis of Discrete-Time Coupled Systems on Networks With Time-Varying Delay

被引：0
|
作者：
Luo, Tianjiao [1 ]
Zhang, Jianyu [2 ]
Wu, Yongbao [2 ]
Wang, Pengfei [2 ]
机构：
[1] Univ Calif Berkeley, Berkeley, CA 94720 USA
[2] Harbin Inst Technol Weihai, Weihai 264209, Peoples R China
来源：
PROCEEDINGS OF THE 38TH CHINESE CONTROL CONFERENCE (CCC) | 2019年
关键词：
Discrete-time coupled systems; Time-varying delay; Global stability; Graph theory; Lyapunov method; NEURAL-NETWORKS; ASYMPTOTIC STABILITY;
D O I：
10.23919/chicc.2019.8865586
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper is concerned with the global stability problem for discrete-time coupled systems on networks (DTCSN) with time-varying delay. Based on graph-theoretical technique and Lyapunov method, an effective method is given to construct a global Lyapunov function for the DTCSN. Then two kinds of novel sufficient criteria are obtained which show that both the topological structure of the underlying network and the upper and lower bounds of time-varying delay do great influence on the stability of DTCSN. Subsequently, the theoretical results are applied to a class of discrete-time coupled oscillators, which is derived by Euler method. Finally, a numerical example is given to illustrate the effectiveness of the theoretical results.
引用
收藏
页码：1201 / 1206
页数：6
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