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
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;
Conference_Titel :
Decision and Control, 2006 45th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
1-4244-0171-2
DOI :
10.1109/CDC.2006.376717
