Stabilization in a two-species chemostat with monod growth functions

Frédéric Mazenc (1, 2) , Michael Malisoff (3) , Jérôme Harmand (4)

1 MERE - Water Resource Modeling
2 ASB - Analyse des Systèmes et Biométrie
3 LSU Mathematics - Department of Mathematics [Baton Rouge]
4 LBE - Laboratoire de Biotechnologie de l'Environnement [Narbonne]

We design feedback controllers for two species chemostats so that an equilibrium with arbitrary prescribed positive species concentrations becomes globally asymptotically stable. We use a new global explicit strict Lyapunov function construction, which allows us to quantify the effects of disturbances using the input-to-state stability paradigm. We assume that only a linear combination of the species concentrations is known. We illustrate our approach using a numerical example.

Mots clés: ARTIFICIAL INTELLIGENCE LYAPUNOV FONCTION SPECIES COEXISTENCE BIOREACTORS INTEGRAL INPUT-TO-STATE STABILITY UNCERTAIN STATES INTELLIGENCE ARTIFICIELLE ETAT INCERTAIN COEXISTANCE DES ESPÈCES COMPETITION

Domaines: Autre [cs.OH]

Frédéric Mazenc, Michael Malisoff, Jérôme Harmand. Stabilization in a two-species chemostat with monod growth functions. IEEE Transactions on Automatic Control, 2009, 54 (4), pp.855-861. ⟨10.1109/TAC.2008.2010964⟩. ⟨hal-00858531⟩