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A new method for the reconstruction of unknown non-monotonic growth function in the chemostat

Abstract : We propose an adaptive control law that allows one to identify unstable steady states of the open-loop system in the single-species chemostat model without the knowledge of the growth function. We then show how to use a continuation method to reconstruct the whole graph of the growth function. Two variants, in continuous and discrete time, are presented. The case of two species in competition is also examined.
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https://hal.inrae.fr/hal-02748259
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Submitted on : Wednesday, June 3, 2020 - 1:11:56 PM
Last modification on : Tuesday, February 9, 2021 - 3:20:13 PM

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Jan Sieber, Alain Rapaport, Serafim Rodrigues, Mathieu Desroches. A new method for the reconstruction of unknown non-monotonic growth function in the chemostat. 20th IEEE Mediterranean Conference on Control and Automation (MED '12), Jul 2012, Barcelona, Spain. pp.169 - 175, ⟨10.1109/MED.2012.6265633⟩. ⟨hal-02748259⟩

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