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Boundary feedback stabilization of a reaction–diffusion equation with Robin boundary conditions and state-delay
Author(s)
Date Issued
2020-06
Date Available
2021-03-08T12:12:07Z
Abstract
This paper discusses the boundary feedback stabilization of a reaction–diffusion equation with Robin boundary conditions and in the presence of a time-varying state-delay. The proposed control design strategy is based on a finite-dimensional truncated model obtained via a spectral decomposition. By an adequate selection of the number of modes of the original infinite-dimensional system, we show that the design performed on the finite-dimensional truncated model achieves the exponential stabilization of the original infinite-dimensional system. In the presence of distributed disturbances, we show that the closed-loop system is exponentially input-to-state stable with fading memory.
Sponsorship
European Commission - European Regional Development Fund
Science Foundation Ireland
Other Sponsorship
I-Form industry partners
Type of Material
Journal Article
Publisher
Elsevier
Journal
Automatica
Volume
116
Copyright (Published Version)
2020 Elsevier
Language
English
Status of Item
Peer reviewed
This item is made available under a Creative Commons License
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Owning collection
Scopus© citations
22
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