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Communication Dans Un Congrès Année : 2006

Stabilizing a periodic solution in the chemostat : a case study in tracking

Résumé

We study the chemostat model for one species competing for one nutrient. For appropriate choices of the nutrient concentration and time-varying dilution rate, we use a Lyapunov-type analysis to prove the stability of the corresponding reference signal for the species concentration. We show that the stability is maintained when the model is augmented by additional species that are being driven to extinction
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Dates et versions

hal-02755211 , version 1 (03-06-2020)

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Frédéric F. Mazenc, Patrick de Leenheer, Michael Malisoff. Stabilizing a periodic solution in the chemostat : a case study in tracking. 45. IEEE Conference on decision and control, Dec 2006, San-Diego, United States. ⟨10.1109/CDC.2006.376717⟩. ⟨hal-02755211⟩
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