Stability and Robustness Analysis for a Multispecies Chemostat Model with Delays in the Growth Rates and Uncertainties

Frédéric Mazenc 1, 2 Gonzalo Robledo 3 Michael Malisoff 4
1 DISCO - Dynamical Interconnected Systems in COmplex Environments
L2S - Laboratoire des signaux et systèmes, Inria Saclay - Ile de France, SUPELEC, CNRS - Centre National de la Recherche Scientifique : UMR8506
Abstract : We study a chemostat model with an arbitrary number of competing species, one substrate, and constant dilution rates. We allow delays in the growth rates and additive uncertainties. Using constant inputs of certain species, we derive bounds on the sizes of the delays that ensure asymptotic stability of an equilibrium when the uncertainties are zero, which can allow persistence of multiple species. Under delays and uncertainties, we provide bounds on the delays and on the uncertainties that ensure input-to-state stability with respect to uncertainties.
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Discrete and Continuous Dynamical Systems - Series B, American Institute of Mathematical Sciences, 2018
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https://hal.inria.fr/hal-01918273
Contributeur : Frederic Mazenc <>
Soumis le : samedi 10 novembre 2018 - 15:16:35
Dernière modification le : mardi 27 novembre 2018 - 15:48:54

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  • HAL Id : hal-01918273, version 1

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Frédéric Mazenc, Gonzalo Robledo, Michael Malisoff. Stability and Robustness Analysis for a Multispecies Chemostat Model with Delays in the Growth Rates and Uncertainties. Discrete and Continuous Dynamical Systems - Series B, American Institute of Mathematical Sciences, 2018. 〈hal-01918273〉

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