Stability analysis for coupled systems with time delay on networks

被引：48
作者：
Chen, Hao [1 ]
Sun, Jitao [1 ]
机构：
[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2012年 / 391卷 / 03期
关键词：
Coupled Systems; Time delay; Networks; Graph theory; Lyapunov functional; ENDEMIC EQUILIBRIUM; GLOBAL STABILITY; NEURAL-NETWORKS; MODELS;
D O I：
10.1016/j.physa.2011.08.037
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, the stability problem for some coupled systems with time delay on networks (CSDNs) is investigated. We provide a systematic method for constructing a global Lyapunov functional for CSDNs by using graph theory. The stability, uniform stability and global uniform stability of the systems are investigated. And by using the Lyapunov functional constructed, some sufficient conditions of stability are obtained. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码：528 / 534
页数：7
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