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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao https://doi.org/10.2...arrow_drop_down
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https://doi.org/10.2139/ssrn.4...
Article . 2024 . Peer-reviewed
License: https://www.uspto.gov/ip-policy/copyright-policy/copyright-basics
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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
IFAC Journal of Systems and Control
Article . 2025 . Peer-reviewed
License: Elsevier TDM
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Article . 2025
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Finite-Time Boundedness of Piecewise Affine Systems

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2024Publisher:Elsevier BVJournal:IFAC Journal of Systems and Control, volume 32, page 100,303 (issn: 2468-6018, Copyright policy )
Authors: Sana BenKhaled; Cédric Delattre; Bessem Bhiri; Michel Zasadzinski; Kamel Abderrahim;

doi: 10.2139/ssrn.4922072 , 10.1016/j.ifacsc.2025.100303

Finite-Time Boundedness of Piecewise Affine Systems

Abstract

This paper deals with the finite-time boundedness of an important class of hybrid systems, namely PieceWise Affine (PWA) systems. The main results in this article are sufficient conditions for finite-time boundedness, finite-time stability and stabilization of PWA systems. Our approach uses a Lyapunov-like function and the S-procedure to obtain these conditions which are formulated in terms of Linear Matrix Inequalities (LMIs). A numerical example illustrates the effectiveness of the proposed approach.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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