Lag synchronization of complex-valued interval neural networks via distributed delayed impulsive control

AIMS Mathematics

article

Zhifeng Lu¹  Fei Wang¹  Yujuan Tian¹  Yaping Li² 

[1] School of Mathematics and Statistics, Shandong Normal University;School of Information Engineering, Shandong Management University

关键词: complex-valued interval neural networks;    exponential lag synchronization;    distributed delayed impulsive control;    mixed time-delays;    impulsive differential inequality;   

DOI  :  10.3934/math.2023277

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

This paper investigates the lag synchronization problem of complex-valued interval neural networks with both discrete and distributed time-varying delays under delayed impulsive control. A distributed delayed impulsive controller that depends on the accumulation of the states over a history time period is designed to guarantee the exponential lag synchronization between the drive and the response systems. By employing the complex Lyapunov method and a novel impulsive differential inequality technique, some delay-dependent synchronization criteria are established in terms of complex-valued linear matrix inequalities (LMIs). Finally, a numerical example is given to illustrate the effectiveness of the theoretical results.

【 授权许可】

CC BY