Almost Global Stability of Nonlinear Switched System with Stable and Unstable Subsystems

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Abstract

This paper presents sufficient conditions for almost global stability of nonlinear switched systems consisting of both stable and unstable subsystems. Techniques from the stability analysis of switched systems have been combined with the multiple Lyapunov density approach - recently proposed by the authors for the almost global stability of nonlinear switched systems composed of stable subsystems. By using slow switching for stable subsystems and fast switching for unstable subsystems lower and upper bounds for mode-dependent average dwell times are obtained. In addition to that, by allowing each subsystem to perform slow switching and using some restrictions on total operation time of unstable subsystems and stable subsystems, we have obtained a lower bound for an average dwell time.

Original languageEnglish
Title of host publicationIEEE 59th Conference on Decision and Control (CDC)
Number of pages6
PublisherIEEE
Publication date11 Jan 2021
Pages3285-3290
Article number9304179
ISBN (Print)978-1-7281-7448-8
ISBN (Electronic)978-1-7281-7447-1
DOIs
Publication statusPublished - 11 Jan 2021
Event 2020 59th IEEE Conference on Decision and Control (CDC) - Jeju Island, Korea, Republic of
Duration: 14 Dec 202018 Dec 2020

Conference

Conference 2020 59th IEEE Conference on Decision and Control (CDC)
CountryKorea, Republic of
City Jeju Island
Period14/12/202018/12/2020
SeriesI E E E Conference on Decision and Control. Proceedings
ISSN0743-1546

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