Title

Stabilization in a Two-Species Chemostat With Monod Growth Functions

Document Type

Article

Publication Date

1-1-2009

Abstract

We design feedback controllers for two species chemostats so that an equilibrium with arbitrary prescribed positive species concentrations becomes globally asymptotically stable. We use a new global explicit strict Lyapunov function construction, which allows us to quantify the effects of disturbances using the input-to-state stability paradigm.We assume that only a linear combination of the species concentrations is known. We illustrate our approach using a numerical example. © 2009, IEEE. All rights reserved.

Publication Source (Journal or Book title)

IEEE Transactions on Automatic Control

First Page

855

Last Page

861

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