Impulsive pinning synchronization of discrete-time network

Advances in Difference Equations

Hengjun Wang¹  Zhaoyan Wu¹ 

[1] College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, P.R. China

关键词: synchronization;    discrete-time network;    impulsive control;    pinning control;   

DOI  :  10.1186/s13662-016-0766-x

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Combining impulsive and pinning control, we investigate the synchronization problem of discrete-time network. In the proposed pinning control scheme, the controlled nodes are chosen according to the norm of the synchronization errors at different impulsive instants. Based on the Lyapunov function method and mathematical analysis technique, two synchronization criteria with respect to the impulsive gains and intervals are analytically derived. Both undirected and directed discrete-time networks coupled with Chirikov standard maps are performed in numerical examples to verify the effectiveness of the derived results.

【 授权许可】

CC BY