Almost global stability of nonlinear switched systems with mode-dependent and edge-dependent average dwell time

Ayşegül Kıvılcım; Özkan Karabacak; Rafael Wisniewski

doi:10.1016/j.nahs.2021.101052

Almost global stability of nonlinear switched systems with mode-dependent and edge-dependent average dwell time

Ayşegül Kıvılcım^*, Özkan Karabacak, Rafael Wisniewski

^*Kontaktforfatter

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

9 Citationer (Scopus)

Abstract

It has recently been shown that almost global stability of nonlinear switched systems can be characterized using multiple Lyapunov densities. This has been accomplished for switched systems subject to a minimum dwell time or an average dwell time constraint. In this paper, as an extension of the aforementioned results, we provide a sufficient condition on mode-dependent and edge-dependent average dwell time to ensure almost global stability of a nonlinear switched system. The relations between average dwell time, mode-dependent, and edge-dependent average dwell time have been discussed. The obtained results for nonlinear switched systems imply the existing results for linear switched systems.

Originalsprog	Engelsk
Artikelnummer	101052
Tidsskrift	Nonlinear Analysis: Hybrid Systems
Vol/bind	41
ISSN	1751-570X
DOI	https://doi.org/10.1016/j.nahs.2021.101052
Status	Udgivet - aug. 2021

Bibliografisk note

Funding Information:
This work has been supported by the Independent Research Fund Denmark in the project DeBaTe.

Publisher Copyright:
© 2021 Elsevier Ltd

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10.1016/j.nahs.2021.101052

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title = "Almost global stability of nonlinear switched systems with mode-dependent and edge-dependent average dwell time",

abstract = "It has recently been shown that almost global stability of nonlinear switched systems can be characterized using multiple Lyapunov densities. This has been accomplished for switched systems subject to a minimum dwell time or an average dwell time constraint. In this paper, as an extension of the aforementioned results, we provide a sufficient condition on mode-dependent and edge-dependent average dwell time to ensure almost global stability of a nonlinear switched system. The relations between average dwell time, mode-dependent, and edge-dependent average dwell time have been discussed. The obtained results for nonlinear switched systems imply the existing results for linear switched systems.",

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author = "Ay{\c s}eg{\"u}l Kıvılcım and {\"O}zkan Karabacak and Rafael Wisniewski",

note = "Publisher Copyright: {\textcopyright} 2021 Elsevier Ltd",

year = "2021",

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doi = "10.1016/j.nahs.2021.101052",

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T1 - Almost global stability of nonlinear switched systems with mode-dependent and edge-dependent average dwell time

AU - Kıvılcım, Ayşegül

AU - Karabacak, Özkan

AU - Wisniewski, Rafael

PY - 2021/8

Y1 - 2021/8

N2 - It has recently been shown that almost global stability of nonlinear switched systems can be characterized using multiple Lyapunov densities. This has been accomplished for switched systems subject to a minimum dwell time or an average dwell time constraint. In this paper, as an extension of the aforementioned results, we provide a sufficient condition on mode-dependent and edge-dependent average dwell time to ensure almost global stability of a nonlinear switched system. The relations between average dwell time, mode-dependent, and edge-dependent average dwell time have been discussed. The obtained results for nonlinear switched systems imply the existing results for linear switched systems.

AB - It has recently been shown that almost global stability of nonlinear switched systems can be characterized using multiple Lyapunov densities. This has been accomplished for switched systems subject to a minimum dwell time or an average dwell time constraint. In this paper, as an extension of the aforementioned results, we provide a sufficient condition on mode-dependent and edge-dependent average dwell time to ensure almost global stability of a nonlinear switched system. The relations between average dwell time, mode-dependent, and edge-dependent average dwell time have been discussed. The obtained results for nonlinear switched systems imply the existing results for linear switched systems.

KW - Almost global stability

KW - Average dwell time

KW - Edge-dependent average dwell time

KW - Mode-dependent average dwell time

KW - Multiple Lyapunov densities

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DO - 10.1016/j.nahs.2021.101052

M3 - Journal article

AN - SCOPUS:85105457341

SN - 1751-570X

VL - 41

JO - Nonlinear Analysis: Hybrid Systems

JF - Nonlinear Analysis: Hybrid Systems

M1 - 101052

ER -

Almost global stability of nonlinear switched systems with mode-dependent and edge-dependent average dwell time

Abstract

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