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Remarks on output feedback stabilization of two-species chemostat models. (English) Zbl 1205.93123

Summary: We consider a class of output feedback stabilization problems for chemostats with two species. We design dilution rate feedbacks that stabilize a componentwise positive equilibrium. Our feedbacks only depend on the sum of the species levels. The novelty of our treatment is in our dropping the usual condition on the relative sizes of the growth yield constants.

MSC:

93D15 Stabilization of systems by feedback
93D20 Asymptotic stability in control theory
93C15 Control/observation systems governed by ordinary differential equations
34H05 Control problems involving ordinary differential equations
Full Text: DOI

References:

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