Mean-square heterogeneous synchronization of interdependent networks with stochastic disturbances

Advances in Difference Equations

Jiabo Chen¹  Tianjiao Guo¹  Lilan Tu¹ 

[1] 0000 0000 9868 173X, grid.412787.f, Hubei Province Key Laboratory of Systems Science in Metallurgical Process, Wuhan University of Science and Technology, Wuhan, China;0000 0000 9868 173X, grid.412787.f, College of Science, Wuhan University of Science and Technology, Wuhan, China;

关键词: Interdependent networks;    Stochastic disturbances;    Mean-square heterogeneous asymptotical synchronization;    Itô formula;   

DOI  :  10.1186/s13662-019-2127-z

来源: publisher

【 摘 要 】

In this paper, the mean-square asymptotical heterogeneous synchronization of interdependent networks with stochastic disturbances, which is a zero-mean real Wiener process, is investigated. The network discussed consists of two sub-networks, which are one-by-one inter-coupled. The unknown but bounded nonlinear coupling functions not only exist in the intra-coupling but also in the inter-coupling between two sub-networks. Based on the stochastic Lyapunov stability theory, adaptive control, Itô formula and the linear matrix inequality, several sufficient conditions are proposed to guarantee adaptive mean-square heterogeneous asymptotical synchronization of the interdependent networks. In order to better illustrate the feasibility and effectiveness of the synchronization conditions derived in this brief, numerical simulations are provided finally.

【 授权许可】

CC BY