Global stabilization of the chemostat with delayed and sampled measurements and control

Mazenc, Frédéric; Harmand, Jérôme; Mounier, Hugues

Global stabilization of the chemostat with delayed and sampled measurements and control

2013

Mazenc, Frédéric | Harmand, Jérôme | Mounier, Hugues

The classical model of the chemostat with one substrate, one species and a Haldane type growth rate function is considered. The input substrate concentration is supposed to be constant and the dilution rate is considered as the control. The problem of asymptotically stabilizing an equilibrium point of this system in the case where the measured concentrations are delayed and piecewise constant with a piecewise constant control is addressed.

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