Feedback control for a chemostat with two organisms

Circular and Elliptic Orbits in a Feedback-mediated Chemostat

A chemostat with two organisms competing for a single growthlimiting nutrient controlled by feedback-mediated dilution rate is analyzed. A specific feedback function is constructed which yields circular and elliptical periodic orbits for the limiting system. A theorem on the stabilization of periodic orbits in conservative systems is developed and for a given elliptical orbit, the result is use...

Dynamical Behavior of a Chemostat Model Concerning Impulsive State Feedback Control Strategy

In this paper, a chemostat model for concerning impulsive state feedback control strategy is proposed and investigated. We obtained sufficient conditions of global asymptotical stability of the system without impulsive state feedback control. And also did we obtain the system with impulsive state feedback control may have order one periodic solution, as well as, the sufficient conditions for ex...

Feedback control for nonmonotone competition models in the chemostat

This paper deals with the problem of feedback control of competition between two species with one substrate in the chemostat with nonmonotone growth functions.Without control, the generic behavior is competitive exclusion. The aim of this paper is to find a feedback control of the dilution rate, depending only on the total biomass, such that coexistence holds. We obtain a sufficient condition f...

An extension of the theory of the chemostat with feedback of organisms. Its experimental realization with a yeast culture.

Ergodic Theorem for Stabilization of a Hyperbolic PDE Inspired by Age-Structured Chemostat

We study a feedback stabilization problem for a first-order hyperbolic partial differential equation. The problem is inspired by the stabilization of equilibrium age profiles for an age-structured chemostat, using the dilution rate as the control. Two distinguishing features of the problem are that (a) the PDE has a multiplicative (instead of an additive) input and (b) the state is fed back to ...