Stabilization in a two-species chemostat with monod growth functions

Abstract : 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.
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IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2009, 54 (4), pp.855-861. 〈10.1109/tac.2008.2010964〉
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Soumis le : jeudi 5 septembre 2013 - 15:35:51
Dernière modification le : jeudi 11 janvier 2018 - 16:36:56

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Frédéric Mazenc, Michael Malisoff, Jérôme Harmand. Stabilization in a two-species chemostat with monod growth functions. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2009, 54 (4), pp.855-861. 〈10.1109/tac.2008.2010964〉. 〈hal-00858531〉

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