Stability analysis of stochastic delayed complex networks with multi-weights based on Razumikhin technique and graph theory

Chunmei Zhang and Bang-Sheng Han

Physica A: Statistical Mechanics and its Applications, 2020, vol. 538, issue C

Abstract: In this paper, a novel kind of stochastic delayed complex networks with multi-weights (SDCNMW) is considered. We first split SDCNMW into multiple stochastic complex networks with single weight. This paper is mainly concerned with the issues of exponential stability for SDCNMW. A global Lyapunov functional is constructed by a graph-theoretical approach based on Kirchhoff’s matrix tree theorem. Razumikhin-type theorem is presented by stochastic stability theory and Razumikhin technique. An easy-verified coefficients-type theorem is also given. Finally, theoretical results are illustrated by stochastic oscillators network successfully.

Keywords: Stochastic complex networks; Multi-weights; Exponential stability; Lyapunov function; Razumikhin technique (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:538:y:2020:i:c:s0378437119316073

DOI: 10.1016/j.physa.2019.122827

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