Stabilizing a Periodic Solution in the Chemostat: A Case Study in Tracking

We study the chemostat model for one species competing for one nutrient. For appropriate choices of the nutrient concentration and time-varying dilution rate, we use a Lyapunov-type analysis to prove the stability of the corresponding reference signal for the species concentration. We show that the...

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Published inProceedings of the 45th IEEE Conference on Decision and Control pp. 1794 - 1799
Main Authors Mazenc, F., De Leenheer, P., Malisoff, M.
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.12.2006
IEEE Press
SeriesCDC 06
Subjects
Biological system modeling
Chemostat
Computer Science
Environmental factors
Equations
Inductors
Mathematics
Robust stability
robustness
Signal analysis
species concentration
Stability analysis
USA Councils
Writing
SPECIES CONCENTRATION
ROBUSTNESS
STABILITY
CHEMOSTAT
CONCENTRATION DES ESPÈCES
ANALYSIS
STABILITE
Online AccessGet full text
ISBN9781424401710
1424401712
ISSN0191-2216
DOI10.1109/CDC.2006.376717

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Abstract We study the chemostat model for one species competing for one nutrient. For appropriate choices of the nutrient concentration and time-varying dilution rate, we use a Lyapunov-type analysis to prove the stability of the corresponding reference signal for the species concentration. We show that the stability is maintained when the model is augmented by additional species that are being driven to extinction
AbstractList We study the chemostat model for one species competing for one nutrient. For appropriate choices of the nutrient concentration and time-varying dilution rate, we use a Lyapunov-type analysis to prove the stability of the corresponding reference signal for the species concentration. We show that the stability is maintained when the model is augmented by additional species that are being driven to extinction
Author Malisoff, M.
Mazenc, F.
De Leenheer, P.
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Keywords SPECIES CONCENTRATION
ROBUSTNESS
STABILITY
CHEMOSTAT
CONCENTRATION DES ESPÈCES
ANALYSIS
STABILITE
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Snippet We study the chemostat model for one species competing for one nutrient. For appropriate choices of the nutrient concentration and time-varying dilution rate,...
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SubjectTerms Biological system modeling
Chemostat
Computer Science
Environmental factors
Equations
Inductors
Mathematics
Robust stability
robustness
Signal analysis
species concentration
Stability analysis
USA Councils
Writing
Title Stabilizing a Periodic Solution in the Chemostat: A Case Study in Tracking
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