Synchronization of stochastic multi-weighted complex networks with Levy noise based on graph theory

被引：15

作者：

Zhang, Chunmei ^{[1
]}

Yang, Yinghui ^{[1
]}

机构：

[1] Southwest Jiaotong Univ, Sch Math, Chengdu 610031, Peoples R China

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2020年 / 545卷

基金：

中国国家自然科学基金;

关键词：

Stochastic complex networks; Synchronization; Multi-weights; FINITE-TIME SYNCHRONIZATION; CHAOTIC NEURAL-NETWORKS; DYNAMICAL NETWORKS; EXPONENTIAL SYNCHRONIZATION; PROJECTIVE SYNCHRONIZATION; DIFFERENTIAL-EQUATIONS; STABILITY ANALYSIS; COUPLED SYSTEMS; PINNING CONTROL; DELAY;

D O I：

10.1016/j.physa.2019.123496

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper addresses the synchronization problem of stochastic multi-weighted complex networks with Levy noise. Based on the drive-response concept and graph theory, global Lyapunov function of the error network between drive-response networks is obtained by the weighted summation of Lyapunov functions of vertex systems. According to the stochastic analysis and state feedback control technique, the rigorous synchronization analysis of drive-response networks in the pth moment and probability sense is presented. The obtained synchronization criteria are closely related with multi-weights and the intensity of Levy noise. Finally, some numerical simulations are provided to illustrate the effectiveness of the theoretical results. (C) 2019 Elsevier B.V. All rights reserved.

引用

页数：12

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