Sampled-data feedback stabilization of age-structured chemostat models

We solve a problem of stabilizing an arbitrary equilibrium age profile in an age-structured chemostat. The model is a first-order hyperbolic partial differential equation, with the dilution rate as the control. Our sampled-data feedback ensures stabilization, with arbitrarily sparse sampling. Since the sampling control takes all of its values in a pre-specified bounded interval, we satisfy input constraints. The feedback does not require exact knowledge of the model, nor does it require measurement of the whole age profile.