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A new method for the reconstruction of unknown non-monotonic growth function in the chemostat Jan Sieber 653142-0 Alain Rapaport e0c2203af9680a5cc929a3e3371858b5 inrae.fr alain-rapaport 7738 19592-7738 https://orcid.org/0000-0002-8515-0838 https://www.idref.fr/034346139 https://arxiv.org/a/rapaport_a_1 http://www.researcherid.com/rid/D-8652-2019 http://www.researcherid.com/rid/http://www.researcherid.com/rid/D-8652-2019 Serafim Rodrigues 478916-0 Mathieu Desroches b9de60ea47ff5759f397639e6aba48d6 inria.fr mathieu-desroches 1523 20445-1523 https://orcid.org/0000-0002-9325-4207 https://scholar.google.fr/citations?user=J-4O7csAAAAJ&hl=en https://www.idref.fr/226984729 Migration ProdInra 9e5ed7d56b52b3d4383123b1ffb42236 inrae.fr 2020-06-03 13:11:56 2025-10-15 12:18:29 2020-06-03 13:11:56 2012-07-03 0 inra_etatDocument_local_0 Scientists contributor Migration ProdInra 9e5ed7d56b52b3d4383123b1ffb42236 inrae.fr CCSD hal-02748259 https://hal.inrae.fr/hal-02748259 sieber:hal-02748259 <i>2. International Conference on Risk Assessment of Pharmaceuticals in the Environment - ICRAPHE</i>, Jul 2012, Barcelona, Spain. pp.169 - 175, <a target="_blank" href="https://dx.doi.org/10.1109/MED.2012.6265633">⟨10.1109/MED.2012.6265633⟩</a> 2. International Conference on Risk Assessment of Pharmaceuticals in the Environment - ICRAPHE, Jul 2012, Barcelona, Spain. pp.169 - 175, ⟨10.1109/MED.2012.6265633⟩ INRIA - Institut National de Recherche en Informatique et en Automatique INRA - Institut national de la recherche agronomique INRIA Sophia Antipolis - Méditerranée INRIA Paris - Rocquencourt INRIA-SOPHIA INRIA - Institut National de Recherche en Informatique et en Automatique TESTALAIN1 Agropolis INRIA 2 Archive ouverte en agrobiosciences Université Côte d'Azur Institut Agro Montpellier Institut National de Recherche en Agriculture, Alimentation et Environnement INRAE Occitanie Montpellier Mathématiques, Informatique et Statistique pour l'Environnement et l'Agronomie Département MathNum INRIA-ROYAUMEUNI Institut Agro Test MathNum International No No Yes No A new method for the reconstruction of unknown non-monotonic growth function in the chemostat Jan Sieber 653142-0 Alain Rapaport e0c2203af9680a5cc929a3e3371858b5 inrae.fr alain-rapaport 7738 19592-7738 https://orcid.org/0000-0002-8515-0838 https://www.idref.fr/034346139 https://arxiv.org/a/rapaport_a_1 http://www.researcherid.com/rid/D-8652-2019 http://www.researcherid.com/rid/http://www.researcherid.com/rid/D-8652-2019 Serafim Rodrigues 478916-0 Mathieu Desroches b9de60ea47ff5759f397639e6aba48d6 inria.fr mathieu-desroches 1523 20445-1523 https://orcid.org/0000-0002-9325-4207 https://scholar.google.fr/citations?user=J-4O7csAAAAJ&hl=en https://www.idref.fr/226984729 978-1-4673-2529-5 2. International Conference on Risk Assessment of Pharmaceuticals in the Environment - ICRAPHE 2012-07-03 2012-07-06 Barcelona Spain IEEE United States Control & Automation (MED), 2012 20th Mediterranean Conference on 169 - 175 2012 10.1109/MED.2012.6265633 190824 English Mathematics [math] Computer Science [cs] Conference papers Conference papers Conference papers

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.

026431823 0000000110340955 https://ror.org/03yghzc09 University of Exeter 1955-01-01

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