Finite-time synchronization of delayed complex dynamical network via pinning control

Advances in Difference Equations

Qintao Gan¹  Feng Xiao¹ 

[1] Department of Basic Science, Shijiazhuang Mechanical Engineering College, Shijiazhuang, P.R. China

关键词: undirected and directed complex network;    finite time;    pinning synchronization;    time delay;   

DOI  :  10.1186/s13662-017-1402-0

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We investigate a finite-time synchronization problem of hybrid-coupled delayed dynamical network via pinning control. According to linear feedback principle and finite-time control theory, the finite-time synchronization can be achieved by pinning control with suitable continuous finite-time controller. Some sufficient conditions are given for finite-time synchronization of undirected and directed complex network by applying finite-time stability lemma. Numerical simulations are finally presented to demonstrate the effectiveness of the theoretical results.

【 授权许可】

CC BY