Input-to-state stability of nonlinear systems with hybrid inputs and delayed impulses

被引：31
作者：
Shi, Fan [2 ]
Liu, Yang [1 ,2 ,3 ]
Li, Yuanyuan [4 ]
Qiu, Jianlong [5 ]
机构：
[1] Zhejiang Normal Univ, Key Lab Intelligent Educ Technol & Applicat Zheji, Jinhua 321004, Peoples R China
[2] Zhejiang Normal Univ, Coll Math & Comp Sci, Jinhua 321004, Peoples R China
[3] Zhejiang Normal Univ, Coll Math Med, Jinhua 321004, Peoples R China
[4] Nanjing Forestry Univ, Dept Appl Math, Nanjing 210037, Peoples R China
[5] Linyi Univ, Sch Automat & Elect Engn, Linyi 276005, Peoples R China
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2022年 / 44卷
基金：
中国国家自然科学基金;
关键词：
Impulsive system; Hybrid inputs; Delayed impulses; Input-to-state stability; Integral input-to-state stability; EXPONENTIAL STABILITY; STABILIZATION; SYNCHRONIZATION;
D O I：
10.1016/j.nahs.2021.101145
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper addresses input-to-state stability (ISS) and integral input-to-state stability (iISS) problem of impulsive systems with hybrid inputs and delayed impulses. By adopting Lyapunov function method, sufficient conditions for ISS/iISS are established, and the impact of time delay in hybrid impulses, that is, the stabilizing impulses and destabilizing impulses, are further studied. Moreover, several examples are given and numerical simulations are performed to illustrate their usefulness. (c) 2022 Elsevier Ltd. All rights reserved.
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页数：12
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