Title
Stabilizing a periodic solution in the chemostat: A case study in tracking
Document Type
Conference Proceeding
Publication Date
1-1-2006
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. © 2006 IEEE.
Publication Source (Journal or Book title)
Proceedings of the IEEE Conference on Decision and Control
First Page
1794
Last Page
1799
Recommended Citation
Mazenc, F., De Leenheer, P., & Malisoff, M. (2006). Stabilizing a periodic solution in the chemostat: A case study in tracking. Proceedings of the IEEE Conference on Decision and Control, 1794-1799. https://doi.org/10.1109/cdc.2006.376717