Aperiodically intermittent synchronization for switching complex networks dependent on topology structure

Advances in Difference Equations

Jinde Cao¹  Jie Gao² 

[1] School of Mathematical Sciences, University of Electronic Science and Technology, Chengdu, China;School of Sciences, Southwest Petroleum University, Chengdu, China

关键词: pinning synchronization;    switching complex networks;    aperiodically intermittent control;    M-matrix;   

DOI  :  10.1186/s13662-017-1261-8

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper investigates the aperiodically intermittent synchronization for a class of directed complex networks with switching network topologies. The assumption that all of the switching topologies contain a directed spanning tree is removed which is necessary in the previous related literature. That is, only some switching topologies contain a directed spanning tree when zero-in-degree nodes are pinned. By using M-matrix theory and constructing multiple Lyapunov functions, some sufficient conditions are derived to achieve the aperiodically intermittent synchronization of switching complex networks. Finally, some numerical simulations are given to demonstrate the theoretical results.

【 授权许可】

CC BY