Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10398803 | Automatica | 2011 | 6 Pages |
Abstract
This paper considers the global stability problem for some stochastic coupled systems on networks (SCSNs). We provide a systematic method for constructing a global Lyapunov function for these SCSNs, by using graph theory and the Lyapunov second method. Consequently, a new global stability principle, which has a close relation to the topology property of the network, is given. As an application to the results, we employ the principle to two well-known coupled systems in physical and ecology, and then some easy-verified sufficient conditions which guarantee the global stability are obtained.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Wenxue Li, Huan Su, Ke Wang,