Stability analysis of an infinite-dimensional linearized plug flow reactor model

Author

Aksikas, Ilyasse ; Winkin, Joseph J. ; Dochain, Denis

Author_Institution

Center of Syst. Eng. & Appl. Mech., Univ. Catholique de Louvain, Louvain-la-Neuve, Belgium

Volume

3

fYear

2004

fDate

14-17 Dec. 2004

Firstpage

2417

Abstract

A stability analysis is performed for a linearized plug flow reactor model. The dynamics of the linearized process are described by linear partial differential equations (PDE´s) with spatial-dependent coefficients. The analysis is performed on an equivalent triangularized model, that is described by a triangular system of PDE´s. Then the stability of the linearized model is established, by using the invariance of stability under system equivalence.

Keywords

chemical reactors; partial differential equations; stability; Riccati differential equation; equivalent triangularized model; infinite-dimensional linearized plug flow reactor model; linear partial differential equations; nonisothermal plug flow reactor; semigroup theory; spatial-dependent coefficients; stability analysis; system equivalence; Chemical reactors; Differential equations; Inductors; Kinetic theory; Nonlinear equations; Partial differential equations; Performance analysis; Plugs; Riccati equations; Stability analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2004. CDC. 43rd IEEE Conference on

ISSN

0191-2216

Print_ISBN

0-7803-8682-5

Type

conf

DOI

10.1109/CDC.2004.1428768

Filename

1428768