Lyapunov Conditions for Finite-Time Input-to-State Stability of Impulsive Switched Systems

被引：6

作者：

Zhang, Taixiang ^{[1
]}

Cao, Jinde ^{[1
]}

Li, Xiaodi ^{[2
]}

机构：

[1] Southeast Univ, Sch Math, Nanjing 210096, Peoples R China

[2] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Peoples R China

来源：

IEEE-CAA JOURNAL OF AUTOMATICA SINICA | 2024年 / 11卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Switched systems; Switches; Stability analysis; Asymptotic stability; Sufficient conditions; Estimation; Dynamical systems;

D O I：

10.1109/JAS.2023.123888

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Dear Editor, This letter studies finite-time input-to-state stability (FTISS) for impulsive switched systems. A set of Lyapunov-based conditions are established for guaranteeing FTISS property. When constituent modes governing continuous dynamics are FTISS and discrete dynamics involving impulses are destabilizing, the FTISS can be retained if impulsive-switching signals satisfy an average dwell-time (ADT) condition. When some or even all constituent modes governing continuous dynamics are not FTISS and discrete dynamics involving impulses are stabilizing, the FTISS can be achieved if impulsive-switching signals satisfy a reverse ADT condition. Examples are presented to illustrate the efficiency of proposed results.

引用

页码：1057 / 1059

页数：3

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