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Paper FrC13.6

Mazenc, Frederic (Projet INRIA DISCO), Malisoff, Michael (Louisiana State University)

Stabilization of Two-Species Chemostats with Delayed Measurements and Haldane Growth Functions

Scheduled for presentation during the Regular Session "Biological Systems" (FrC13), Friday, July 2, 2010, 17:40−18:00, Grand Ballroom III

2010 American Control Conference, June 30-July 02, 2010, Baltimore, MD

This information is tentative and subject to change. Compiled on November 14, 2019

Keywords Delay systems, Biological systems

Abstract

The stabilization of chemostat models with delayed measurements is a challenging problem that is of significant ongoing interest in bioengineering and population dynamics. 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 (1) a given linear combination of the species concentrations, which are measured with an unknown time delay and (2) a known upper bound for the delay. We allow arbitrarily large bounds for the delay. Our proof is based on the construction of a Lyapunov-Krasovskii functional.

 

 

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