Strong stability of the mono-tubular heat exchanger equation with output feedback

Jian Hua Chen; Wen Ying Lu; Dao Lin Peng

doi:10.1016/j.sysconle.2010.10.002

Strong stability of the mono-tubular heat exchanger equation with output feedback

Jian Hua Chen^*, Wen Ying Lu, Dao Lin Peng

^*Corresponding author for this work

Research output: Contribution to journal › Journal Article › peer-review

Abstract

We investigate asymptotic behavior of the C0-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 ArendtBattyLyubichVu theorem, a criterion is established to judge strong stability of T(t).

Original language	English
Pages (from-to)	15-18
Number of pages	4
Journal	Systems and Control Letters
Volume	60
Issue number	1
DOIs	https://doi.org/10.1016/j.sysconle.2010.10.002
Publication status	Published - Jan 2011
Externally published	Yes

Keywords

C0-semigroup
MiyaderaVoigt perturbation
Mono-tubular heat exchanger equation
Strong stability

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10.1016/j.sysconle.2010.10.002

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title = "Strong stability of the mono-tubular heat exchanger equation with output feedback",

abstract = "We investigate asymptotic behavior of the C0-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 ArendtBattyLyubichVu theorem, a criterion is established to judge strong stability of T(t).",

keywords = "C0-semigroup, MiyaderaVoigt perturbation, Mono-tubular heat exchanger equation, Strong stability",

author = "Chen, \{Jian Hua\} and Lu, \{Wen Ying\} and Peng, \{Dao Lin\}",

year = "2011",

month = jan,

doi = "10.1016/j.sysconle.2010.10.002",

language = "English",

volume = "60",

pages = "15--18",

journal = "Systems and Control Letters",

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T1 - Strong stability of the mono-tubular heat exchanger equation with output feedback

AU - Chen, Jian Hua

AU - Lu, Wen Ying

AU - Peng, Dao Lin

PY - 2011/1

Y1 - 2011/1

N2 - We investigate asymptotic behavior of the C0-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 ArendtBattyLyubichVu theorem, a criterion is established to judge strong stability of T(t).

AB - We investigate asymptotic behavior of the C0-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 ArendtBattyLyubichVu theorem, a criterion is established to judge strong stability of T(t).

KW - C0-semigroup

KW - MiyaderaVoigt perturbation

KW - Mono-tubular heat exchanger equation

KW - Strong stability

UR - http://www.scopus.com/inward/record.url?scp=78651274304&partnerID=8YFLogxK

U2 - 10.1016/j.sysconle.2010.10.002

DO - 10.1016/j.sysconle.2010.10.002

M3 - Journal Article

AN - SCOPUS:78651274304

SN - 0167-6911

VL - 60

SP - 15

EP - 18

JO - Systems and Control Letters

JF - Systems and Control Letters

IS - 1

ER -

Strong stability of the mono-tubular heat exchanger equation with output feedback

Abstract

Keywords

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