Strong stability of the mono-tubular heat exchanger equation with output feedback
type: Item
instance of: scholarly article
title: Strong stability of the mono-tubular heat exchanger equation with output feedback
zbMATH Open document ID: 1209.47019
author: Jianhua Chen
author: Wen-Ying Lu
author: Dao-Lin Peng
published in: Systems \& Control Letters
publication date: 2011-02-18T00:00:00Z
review text: From the authors' abstract: We investigate the asymptotic behavior of the \(C_0\)-semigroup \(T(t)\) associated with the mono-tubular heat exchanger equation with output feedback by a perturbation method. It is shown that \(T(t)\) is bounded if a constraint is satisfied by the parameters and the spatial distribution function. Further, applying the Arendt-Batty-Lyubich-Vu theorem, a criterion is established to judge the strong stability of \(T(t)\).
reviewed by: Gheorghe Aniculăesei
Mathematics Subject Classification ID: 47D06
Mathematics Subject Classification ID: 47N70
Mathematics Subject Classification ID: 93C20
Mathematics Subject Classification ID: 93B52
Mathematics Subject Classification ID: 93D15
zbMATH DE Number: 5853426
zbMATH Keywords: mono-tubular heat exchanger equation
zbMATH Keywords: \(C_{0}\)-semigroup
zbMATH Keywords: strong stability
zbMATH Keywords: Miyadera-Voigt perturbation
MaRDI profile type: Publication
full work available at URL: j.sysconle.2010.10.002
OpenAlex ID: W2007420309
cites work: Q4869783
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cites work: Q2716079
DOI: 10.1016/J.SYSCONLE.2010.10.002
description: scientific article; zbMATH DE number 5853426