DocumentCode
2475184
Title
Stabilizing a Periodic Solution in the Chemostat: A Case Study in Tracking
Author
Mazenc, Frédéric ; Leenheer, Patrick De ; Malisoff, Michael
Author_Institution
UMR Analyse des Systemes et Biometrie, INRA, Montpellier
fYear
2006
fDate
13-15 Dec. 2006
Firstpage
1794
Lastpage
1799
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
Keywords
Lyapunov methods; biology; ecology; microorganisms; stability; Lyapunov analysis; chemostat model; nutrient concentration; periodic solution; robustness; species concentration; stabilization; time-varying dilution rate; Biological system modeling; Environmental factors; Equations; Inductors; Mathematics; Robust stability; Signal analysis; Stability analysis; USA Councils; Writing; Chemostat; robustness; species concentration; stability analysis;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2006 45th IEEE Conference on
Conference_Location
San Diego, CA
Print_ISBN
1-4244-0171-2
Type
conf
DOI
10.1109/CDC.2006.376717
Filename
4177597
Link To Document