Asymptotic stability of a nonisothermal plug flow reactor infinite-dimensional model

Ilyasse Aksikas; Joseph Winkin; Denis Dochain

doi:10.1016/S1474-6670(17)31320-4

Asymptotic stability of a nonisothermal plug flow reactor infinite-dimensional model

Ilyasse Aksikas, Joseph Winkin, Denis Dochain

Research output: Contribution to journal › Conference article › peer-review

Abstract

The asymptotic stability property is studied for a nonisothermal plug flow tubular reactor model, which is described by semi-linear partial differential equations (PDE's) derived from mass and energy balance principles. It is reported that, under some condition on the model parameters, any constant temperature equilibrium profile is an asymptotically stable equilibrium of such model. The analysis is based on an asymptotic stability criterion for a class of infinitedimensional (distributed parameter) semi-linear Banach stale space systems and the concept of strictly m-dissipative operator.

Original language	English
Pages (from-to)	781-786
Number of pages	6
Journal	IFAC Proceedings Volumes
Volume	37
Issue number	13
DOIs	https://doi.org/10.1016/S1474-6670(17)31320-4
Publication status	Published - 1 Jan 2004
Event	6th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2004 - Stuttgart, Germany Duration: 1 Sept 2004 → 3 Sept 2004

Keywords

Asymptotic stability
Non isothermal plug flow chemical reactor
Nonlinear semigroup of contractions
Partial differential equation
Semilinear infinite dimensional system
Strict m-dissipativity
Tubular reactor

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10.1016/S1474-6670(17)31320-4

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title = "Asymptotic stability of a nonisothermal plug flow reactor infinite-dimensional model",

abstract = "The asymptotic stability property is studied for a nonisothermal plug flow tubular reactor model, which is described by semi-linear partial differential equations (PDE's) derived from mass and energy balance principles. It is reported that, under some condition on the model parameters, any constant temperature equilibrium profile is an asymptotically stable equilibrium of such model. The analysis is based on an asymptotic stability criterion for a class of infinitedimensional (distributed parameter) semi-linear Banach stale space systems and the concept of strictly m-dissipative operator.",

keywords = "Asymptotic stability, Non isothermal plug flow chemical reactor, Nonlinear semigroup of contractions, Partial differential equation, Semilinear infinite dimensional system, Strict m-dissipativity, Tubular reactor",

author = "Ilyasse Aksikas and Joseph Winkin and Denis Dochain",

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T1 - Asymptotic stability of a nonisothermal plug flow reactor infinite-dimensional model

AU - Aksikas, Ilyasse

AU - Winkin, Joseph

AU - Dochain, Denis

PY - 2004/1/1

Y1 - 2004/1/1

N2 - The asymptotic stability property is studied for a nonisothermal plug flow tubular reactor model, which is described by semi-linear partial differential equations (PDE's) derived from mass and energy balance principles. It is reported that, under some condition on the model parameters, any constant temperature equilibrium profile is an asymptotically stable equilibrium of such model. The analysis is based on an asymptotic stability criterion for a class of infinitedimensional (distributed parameter) semi-linear Banach stale space systems and the concept of strictly m-dissipative operator.

AB - The asymptotic stability property is studied for a nonisothermal plug flow tubular reactor model, which is described by semi-linear partial differential equations (PDE's) derived from mass and energy balance principles. It is reported that, under some condition on the model parameters, any constant temperature equilibrium profile is an asymptotically stable equilibrium of such model. The analysis is based on an asymptotic stability criterion for a class of infinitedimensional (distributed parameter) semi-linear Banach stale space systems and the concept of strictly m-dissipative operator.

KW - Asymptotic stability

KW - Non isothermal plug flow chemical reactor

KW - Nonlinear semigroup of contractions

KW - Partial differential equation

KW - Semilinear infinite dimensional system

KW - Strict m-dissipativity

KW - Tubular reactor

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U2 - 10.1016/S1474-6670(17)31320-4

DO - 10.1016/S1474-6670(17)31320-4

M3 - Conference article

AN - SCOPUS:85064484037

SN - 1474-6670

VL - 37

SP - 781

EP - 786

JO - IFAC Proceedings Volumes

JF - IFAC Proceedings Volumes

IS - 13

T2 - 6th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2004

Y2 - 1 September 2004 through 3 September 2004

ER -

Asymptotic stability of a nonisothermal plug flow reactor infinite-dimensional model

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