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

被引：0
作者：
Xiaodi Li
Shiji Song
Jianhong Wu
机构：
[1] Shandong Normal University,School of Mathematics and Statistics
[2] Shandong Normal University,Institute of Data Science and Technology
[3] Tsinghua University,Department of Automation
[4] York University,Department of Mathematics and Statistics
来源：
Science China Information Sciences | 2018年 / 61卷
关键词：
unstable neural networks; impulsive control; unbounded discrete time-varying delay; unbounded distributed time-varying delay; -stability;
D O I：
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中图分类号：
学科分类号：
摘要：
This paper considers the impulsive control of unstable neural networks with unbounded time-varying 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.
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