Article ID Journal Published Year Pages File Type
4625640 Applied Mathematics and Computation 2016 14 Pages PDF
Abstract

This paper is concerned with the pth moment exponential stability of stochastic coupled systems with time delays and time-varying coupling structure (SCTVCS). The coupling structure is time-varying first. Second, the method of graph theory has been generalized from a system established on a digraph with constant coupling structure to a digraph with time-varying coupling structure successfully. Combining graph theory with Lyapunov method, a systematic method is given to construct a Lyapunov function for SCTVCS. Several pth moment exponential stability criteria are presented, including a Lyapunov-type theorem, and some sufficient criteria in the form of coefficients. Furthermore, the theoretical conclusions are applied to the stochastic coupled oscillators with time-varying coupling structure, and two stability criteria are obtained. Finally, we give two numerical examples to illustrate the effectiveness of our results.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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