Abstract
In this paper, global asymptotic stability in mean (GASM) for stochastic complex networked control systems (SCNCS) is studied. A fresh and suitable global Lyapunov function for SCNCS is constructed based on Kirchhoff’s matrix tree theorem in graph theory. Some sufficient criteria guaranteeing GASM for SCNCS are given, by applying Lyapunov method and stochastic analysis skills. These criteria are closely related to topological structure and coupling form functions of SCNCS. Furthermore, an application to a class of stochastic Lurie coupled control systems on networks (SLCCSN) is provided. Ultimately, a numerical test and its simulation process are presented to explain the validity of our theories.
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