Title
Stabilization of two-species chemostats with delayed measurements and Haldane growth functions
Document Type
Conference Proceeding
Publication Date
1-1-2010
Abstract
The stabilization of chemostat models with delayed measurements is a challenging problem that is of significant interest in bioengineering and population biology. Here we solve a class of output feedback stabilization problems for chemostat models with one limiting substrate and two species, having Haldane or Monod growth functions. Our stabilizing feedbacks depend only on (i) a given linear combination of the species concentrations, which are measured with an unknown time delay and (ii) a known upper bound for the delay. The delay bound can be arbitrarily large. Our proof is based on the construction of a Lyapunov-Krasovskii functional. © 2010 AACC.
Publication Source (Journal or Book title)
Proceedings of the 2010 American Control Conference, ACC 2010
First Page
6740
Last Page
6744
Recommended Citation
Mazenc, F., & Malisoff, M. (2010). Stabilization of two-species chemostats with delayed measurements and Haldane growth functions. Proceedings of the 2010 American Control Conference, ACC 2010, 6740-6744. https://doi.org/10.1109/acc.2010.5531388