Input-to-state stability of delayed systems with bounded-delay impulses

被引：12
|
作者：
Jiang, Bangxin [1 ]
Lou, Yijun [2 ]
Lu, Jianquan [1 ]
机构：
[1] Southeast Univ, Sch Math, Dept Syst Sci, Nanjing 210096, Peoples R China
[2] Hong Kong Polytech Univ, Dept Appl Math, Hung Hom, Hong Kong, Peoples R China
来源：
MATHEMATICAL MODELLING AND CONTROL | 2022年 / 2卷 / 02期
基金：
中国国家自然科学基金;
关键词：
input-to-state stability; delayed systems; bounded-delay impulses; Halanay-type inequality; NEURAL-NETWORKS; TIME-DELAY; EXPONENTIAL STABILITY; STABILIZATION; PERSISTENCE;
D O I：
10.3934/mmc.2022006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper considers the input-to-state stability (ISS) of delayed systems with bounded-delay impulses, where the delays in impulses are arbitrarily large but bounded. A novel Halanay-type inequality with delayed impulses and external inputs is proposed to deeply evaluate the e ffects of delayed impulses on ISS of delayed systems. Then, we obtain some delay-independent ISS criteria for the addressed delayed systems by using Lyapunov method. Particularly, by applying a new analysis technique, the current study enriches the Halanay-type inequalities and further improve the results derived in [1]. Two illustrative examples are presented to validate theoretical results.
引用
收藏
页码：44 / 54
页数：11
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