Impulsive control of unstable neural networks with unbounded time-varying delays  

作　　者：Xiaodi LI Shiji SONG Jianhong WU 

机构地区：[1]School of Mathematics and Statistics, Shandong Normal University [2]Institute of Data Science and Technology, Shandong Normal University [3]Department of Automation, Tsinghua University [4]Department of Mathematics and Statistics, York University

出　　处：《Science China(Information Sciences)》2018年第1期215-228,共14页中国科学（信息科学）（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant Nos. 11301308, 61673247, 61273233);Outstanding Youth Foundation of Shandong Province (Grant Nos. ZR201702100145, ZR2016J L024);Natural Sciences and Engineering Research Council of Canada

摘　　要：This paper considers the impulsive control of unstable neural networks with unbounded timevarying delays, where the time delays to be addressed include the unbounded discrete time-varying delay and unbounded distributed time-varying delay. By employing impulsive control theory and some analysis techniques, several sufficient conditions ensuring μ-stability, including uniform stability,（global） asymptotical stability, and（global） exponential stability, are derived. It is shown that an unstable delay neural network,especially for the case of unbounded time-varying delays, can be stabilized and has μ-stability via proper impulsive control strategies. Three numerical examples and their simulations are presented to demonstrate the effectiveness of the control strategy.This paper considers the impulsive control of unstable neural networks with unbounded timevarying delays, where the time delays to be addressed include the unbounded discrete time-varying delay and unbounded distributed time-varying delay. By employing impulsive control theory and some analysis techniques, several sufficient conditions ensuring μ-stability, including uniform stability,（global） asymptotical stability, and（global） exponential stability, are derived. It is shown that an unstable delay neural network,especially for the case of unbounded time-varying delays, can be stabilized and has μ-stability via proper impulsive control strategies. Three numerical examples and their simulations are presented to demonstrate the effectiveness of the control strategy.

关 键 词：unstable neural networks impulsive control unbounded discrete time-varying delay unbounded distributed time-varying delay μ-stability 

分 类 号：TP4[自动化与计算机技术]