Exponential stability of nonlinear switched systems with hybrid delayed impulses

被引：8
作者：
Chen, Xiaoying [1 ,2 ,3 ]
Liu, Yang [1 ,3 ,4 ,6 ]
Jiang, Bangxin [1 ,3 ]
Lu, Jianquan [5 ]
机构：
[1] Zhejiang Normal Univ, Key Lab Intelligent Educ Technol & Applicat Zhejia, Jinhua, Peoples R China
[2] Fuzhou Univ, Dept Data Sci & Stat, Zhicheng Coll, Fuzhou, Peoples R China
[3] Zhejiang Normal Univ, Coll Math & Comp Sci, Jinhua, Peoples R China
[4] Linyi Univ, Sch Automat & Elect Engn, Linyi, Peoples R China
[5] Southeast Univ, Sch Math, Nanjing, Peoples R China
[6] Zhejiang Normal Univ, Key Lab Intelliget Educ Technol & Applicat Zhejian, Jinhua 321000, Peoples R China
来源：
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2023年 / 33卷 / 05期
基金：
中国国家自然科学基金;
关键词：
average dwell time; delayed impulse; exponential stability; impulsive switched system; TO-STATE STABILITY;
D O I：
10.1002/rnc.6547
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 article addresses the exponential stability problem of switched systems with hybrid delayed impulses that depend on both current states and historical states. Some sufficient conditions for exponential stability based on Lyapunov functions are obtained. In particular, the potential stabilizing and destabilizing effects of time delays in impulses are investigated. It is shown that when continuous dynamics are stable, the primal stabilizing impulses may destabilize the system if there exist delays in the impulses. Interestingly, under certain conditions, such delayed impulses cannot destroy the stability of the whole system for all impulsive time sequences with arbitrarily bounded impulsive intervals, and the sizes of the delays in the impulses can theoretically be arbitrarily finite. Finally, to illustrate the validity of the derived results, some examples and simulations are provided.
引用
收藏
页码：2971 / 2985
页数：15
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