Stabilizing switching signals: A transition from point-wise to asymptotic conditions

Characterization of classes of switching signals that ensure stability of switched systems occupies a significant portion of the switched systems literature. This article collects a multitude of stabilizing switching signals under an umbrella framework. We achieve this in two steps: Firstly, given a...

Full description

Saved in:
Bibliographic Details
Published inSystems & control letters Vol. 106; pp. 16 - 23
Main Authors Kundu, Atreyee, Chatterjee, Debasish
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.08.2017
Subjects
Asymptotic stability
Multiple Lyapunov functions
Stabilizing switching signals
Switched systems
Switched systems
Asymptotic stability
Multiple Lyapunov functions
Stabilizing switching signals
Online AccessGet full text

Cover

More Information
Summary:Characterization of classes of switching signals that ensure stability of switched systems occupies a significant portion of the switched systems literature. This article collects a multitude of stabilizing switching signals under an umbrella framework. We achieve this in two steps: Firstly, given a family of systems, possibly containing unstable dynamics, we propose a new and general class of stabilizing switching signals. Secondly, we demonstrate that prior results based on both point-wise and asymptotic characterizations follow our result. This is the first attempt in the switched systems literature where these switching signals are unified under one banner.
ISSN:0167-6911
1872-7956
DOI:10.1016/j.sysconle.2017.06.001