Stability analysis of two linear distributed parameter bioprocess models

Citation
S. Bourrel et D. Dochain, Stability analysis of two linear distributed parameter bioprocess models, MATH CO M D, 6(3), 2000, pp. 267-281
Citations number
17
Categorie Soggetti
Engineering Mathematics
Journal title
MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS
ISSN journal
13873954 → ACNP
Volume
6
Issue
3
Year of publication
2000
Pages
267 - 281
Database
ISI
SICI code
1387-3954(200009)6:3<267:SAOTLD>2.0.ZU;2-#
Abstract
This paper proposes to extend the dynamical analysis results on chemical tu bular reactors presented in [5] to two linear distributed parameter models. These are in particular the linearized tangent models of two typical biopr ocess models: a basic tubular bioreactor model, and a denitrifying biofilte r model. The tools used for the analysis are those of the infinite dimensio nal system theory (e.g., [2]). In the paper we show the existence of soluti ons for the studied models, and emphasize stability conditions.