Lyapunov conditions for exponential stability of nonlinear delay systems via impulsive control involving stabilizing delays

被引：1
|
作者：
Liu, Weilian [1 ,2 ]
He, Xinyi [1 ]
Li, Xiaodi [1 ,2 ]
机构：
[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Peoples R China
[2] Chongqing Univ Posts & Telecommun, Key Lab Intelligent Anal & Decis Complex Syst, Chongqing 400065, Peoples R China
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2024年 / 51卷
基金：
中国国家自然科学基金;
关键词：
Impulsive control; Exponential stability; Comparison principle; Time-delay; Delayed impulses; TO-STATE STABILITY; NETWORKS;
D O I：
10.1016/j.nahs.2023.101411
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The problem of global exponential stability (GES) for nonlinear delay impulsive systems is investigated in this paper. By extending the traditional comparison principle, delay effects on continuous and discrete dynamics of the system are estimated, based on which, the internal relationship between delays, parameters of impulsive control, and continuous dynamics of the system is revealed. Then some sufficient criteria are obtained for GES, which quantitatively shows the beneficial influences of delays in impulses on the system performance. Finally, two numerical examples are given to illustrate the effectiveness of the proposed result. (c) 2023 Elsevier Ltd. All rights reserved.
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页数：10
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