Discrete-Time Switching Systems as Difference Inclusions: Deducing Converse Lyapunov Results for the Former From Those for the Latter

被引：2

作者：

Goebel, Rafal ^{[1
]}

机构：

[1] Loyola Univ Chicago, Dept Math & Stat, Chicago, IL 60660 USA

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2023年 / 68卷 / 06期

关键词：

Switches; Lyapunov methods; Switching systems; Asymptotic stability; Stability analysis; Standards; Robustness; Difference inclusion; discrete-time switching system; dwell time; multiple Lyapunov functions; smooth Lyapunov function; STABILITY; THEOREM;

D O I：

10.1109/TAC.2022.3192810

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Nonlinear discrete-time switching systems under mode-dependent switching and dwell-time constraints are modeled by difference inclusions. Novel proofs of converse Lyapunov results are obtained for the switching systems as consequences of a converse Lyapunov result for a difference inclusion.

引用

页码：3694 / 3697

页数：4

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