Further characterizations of integral input-to-state stability for hybrid systems

被引：0

作者：

Liu, Shenyu ^{[1
]}

Russo, Antonio ^{[2
]}

机构：

[1] Beijing Inst Technol, Sch Automation, Beijing 100081, Peoples R China

[2] Univ Campania L Vanvitelli, Dipartimento Ingn, I-81031 Aversa, Italy

来源：

AUTOMATICA | 2024年 / 163卷

基金：

美国国家科学基金会;

关键词：

Hybrid systems; Stability of nonlinear systems; Integral input-to-state stability; ISS;

D O I：

10.1016/j.automatica.2023.111484

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this work we present further characterizations of integral input-to-state stability (iISS) for hybrid systems. In particular, the equivalence between 0-input uniform global asymptotic stability (0-UGAS) plus uniform bounded energy bounded state (UBEBS) and iISS is examined. In order to show this equivalence, some necessary conditions for 0-UGAS and UBEBS are provided. In addition, a nonsmooth Lyapunov characterization for hybrid systems is proposed and proven. With the help of the aforementioned equivalence, the combination of local iISS and practical iISS, which are defined in this work, is also shown to be equivalent to iISS under one condition on the local and practical quantifiers. (c) 2023 Published by Elsevier Ltd.

引用

页数：9

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