Section: New Results

Control of a model of chemostat with delay

Participants : Frederic Mazenc, Michael Malisoff [LSU] , Jerome Harmand [INRA] .

We provided in [39] a new control design for models of chemostats, under constant substrate input concentrations, using piecewise constant delayed measurements of the substrate concentration. The growth functions can be uncertain and are not necessarily monotone. The dilution rate is the control. We used a new Lyapunov approach to derive conditions on the largest sampling interval and on the delay length to ensure asymptotic stabilization properties of a componentwise positive equilibrium point.