The stability of stochastic coupled systems with time delays and time-varying coupling structure

Yan Liu, Ying Guo and Wenxue Li

Applied Mathematics and Computation, 2016, vol. 290, issue C, 507-520

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.

Keywords: Time-varying coupling structure; Exponential stability; Coupled oscillators; Stochastic coupled systems (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:290:y:2016:i:c:p:507-520

DOI: 10.1016/j.amc.2016.06.029

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