Stability analysis for coupled systems with time delay on networks
Stability analysis for coupled systems with time delay on networks
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DOI：
10.1016/j.physa.2011.08.037
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发表时间：
2012-02
影响因子：
3.3
通讯作者：
Hao Chen;Jitao Sun
中科院分区：
文献类型：
--
作者：
Hao Chen;Jitao Sun
研究了一类耦合时滞网络系统的稳定性问题。我们提供了一个系统的方法来构造一个全局的Lyapunov泛函CSDNs使用图论。研究了系统的稳定性、一致稳定性和全局一致稳定性。利用构造的李雅普诺夫泛函，得到了系统稳定的充分条件.
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.