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Alain Rapaport

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Multiplicity of neutrally stable periodic orbits with coexistence in the chemostat subject to periodic removal rate

Thomas Guilmeau , Alain Rapaport
SIAM Journal on Applied Mathematics, 2024, 84 (1), pp.39-59. ⟨10.1137/23M1552450⟩
Journal articles hal-04248438v1
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Optimal control of backwash scheduling for pumping energy saving: Application to the treatment of urban Wastewater

Fatma Ellouze , Yesmine Kammoun , Nesrine Kalboussi , Alain Rapaport , Jérôme Harmand
Journal of Water Process Engineering, 2023, 56, pp.104378. ⟨10.1016/j.jwpe.2023.104378⟩
Journal articles hal-04222664v1
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Model-based approach for treated wastewater reuse strategies focusing on water and its nitrogen content "A case study for olive growing farms in peri-urban areas of Sousse, Tunisia"

Mohamed Kefi , Nesrine Kalboussi , Alain Rapaport , Jérôme Harmand , Hakim Gabtni
Water, 2023, 15 (755), ⟨10.3390/w15040755⟩
Journal articles hal-03983740v1
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The role of permanently resident populations in the two-patches SIR model with commuters

Alain Rapaport , Ismail Mimouni
Bulletin of Mathematical Biology, 2023, 85 (3), ⟨10.1007/s11538-022-01111-6⟩
Journal articles hal-03872579v1
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A positive observer for the chemostat model with biogas measurement

Ibtissem Didi , Alain Rapaport , Hacen Dib , Brahim Cherki
Journal of Process Control, 2023, 122, pp.49-58. ⟨10.1016/j.jprocont.2022.12.008⟩
Journal articles hal-03904489v1
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Model Based Optimization of Fertilization with Treated Wastewater Reuse

Antoine Haddon , Alain Rapaport , Sébastien Roux , Jérôme Harmand
Advances in Water Resources, 2023, 181 (104561), ⟨10.1016/j.advwatres.2023.104561⟩
Journal articles hal-04243145v1
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Les enjeux du Génie des Procédés pour la réutilisation des eaux usées traitées au sein du réseau REUSE d'INRAE – de la nécessité d'une approche pluridisciplinaire et multi-échelles

Nassim Ait-Mouheb , Sami Bouarfa , Anne-Laure Collard , Christelle Guigui , Jérôme Labille
MATEC Web of Conferences, 2023, 379, ⟨10.1051/matecconf/202337908001⟩
Journal articles hal-04099633v1
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Singular arcs in optimal periodic control problems with scalar dynamics and integral input constraint

Thomas Guilmeau , Alain Rapaport
Journal of Optimization Theory and Applications, 2022, 195, pp.548-574. ⟨10.1007/s10957-022-02095-y⟩
Journal articles hal-03740426v1
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Performance Study of Two Serial Interconnected Chemostats with Mortality

Manel Dali-Youcef , Alain Rapaport , Tewfik Sari
Bulletin of Mathematical Biology, 2022, 84 (10), ⟨10.1007/s11538-022-01068-6⟩
Journal articles hal-03762535v1
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An optimal feedback control that minimizes the epidemic peak in the SIR model under a budget constraint

Emilio Molina , Alain Rapaport
Journal articles hal-03715347v1
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Convex optimization of bioprocesses

Josh Taylor , Alain Rapaport , Denis Dochain
IEEE Transactions on Automatic Control, 2022, 67 (9), pp.4932 - 4938. ⟨10.1109/TAC.2022.3167310⟩
Journal articles hal-03636799v1
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A multi-observers approach for a class of bidimensional non-uniformly observable systems

Ihab I. Haidar , Jean-Pierre Barbot , Alain Rapaport
IEEE Transactions on Automatic Control, 2022, 67 (12), pp.6912 - 6917. ⟨10.1109/TAC.2022.3142122⟩
Journal articles hal-03476587v1
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Fitting second-order cone constraints to microbial growth data

Shuyao Tan , Emna Krichen , Alain Rapaport , Elodie Passeport , Joshua Taylor
Journal of Process Control, 2022, 118, pp.165-169. ⟨10.1016/j.jprocont.2022.08.018⟩
Journal articles hal-03766997v1
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Life cycle assessment as decision support tool for water reuse in agriculture irrigation

Nesrine Kalboussi , Yannick Biard , Ludivine Pradeleix , Alain Rapaport , Carole Sinfort
Science of the Total Environment, 2022, 836, ⟨10.1016/j.scitotenv.2022.155486⟩
Journal articles hal-03647299v1
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Equivalent Formulations of Optimal Control Problems with Maximum Cost and Applications

Emilio Molina , Alain Rapaport , Héctor Ramírez
Journal of Optimization Theory and Applications, 2022, 195, pp.953-975. ⟨10.1007/s10957-022-02094-z⟩
Journal articles hal-03746480v1
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Competition within low-density bacterial populations as an unexpected factor regulating carbon decomposition in bulk soil

Alexandre Coche , Tristan Babey , Alain Rapaport , Laure Vieublé Gonod , Patricia Garnier
Soil Biology and Biochemistry, 2022, 164 (108423), ⟨10.1016/j.soilbio.2021.108423⟩
Journal articles insu-03347522v3
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Consideration of maintenance in wine fermentation modeling

Alain Rapaport , Robert David , Denis Dochain , Jérôme Harmand , Thibault Nidelet
Journal articles hal-03671014v1
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Modelling and optimal control of an electro-fermentation process within a batch culture

Ihab I. Haidar , Elie Desmond-Le Quéméner , Jean-Pierre Barbot , Jérôme Harmand , Alain Rapaport
Processes, 2022, 10 (3), ⟨10.3390/pr10030535⟩
Journal articles hal-03593854v1
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A sequential convex moving horizon estimator for bioprocesses

Josh Taylor , Alain Rapaport , Denis Dochain
Journal of Process Control, 2022, 116, pp.19-24. ⟨10.1016/j.jprocont.2022.05.012⟩
Journal articles hal-03681133v1
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Study of the dynamics of two chemostats connected by Fickian diffusion with bounded random fluctuations

Tomás Caraballo , Javier López-De-La-Cruz , Alain Rapaport
Stochastics and Dynamics, 2022, 22 (3), ⟨10.1142/S0219493722400020⟩
Journal articles hal-03359279v1
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Penalty function method for the minimal time crisis problem

Kenza Boumaza , Térence Bayen , Alain Rapaport
ESAIM: Proceedings and Surveys, 2021, 71, pp.21-32. ⟨10.1051/proc/202171103⟩
Journal articles hal-03148618v1
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Mathematical study of a two-stage anaerobic model when the hydrolysis is the limiting step

Mohammed Hanaki , Jérôme Harmand , Zoubida Mghazli , Alain Rapaport , Tewfik Sari
Processes, 2021, 9, ⟨10.3390/pr9112050⟩
Journal articles hal-03425496v1
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A new kinetics model to predict the growth of micro-algae subjected to fluctuating availability of light

Emna Krichen , Alain Rapaport , Emilie Le Floc'H B , Eric Fouilland
Algal Research - Biomass, Biofuels and Bioproducts, 2021, 58, ⟨10.1016/j.algal.2021.102362⟩
Journal articles hal-03233538v1
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Optimal control of a crop irrigation model under water scarcity

Kenza Boumaza , Nesrine Kalboussi , Alain Rapaport , Sébastien Roux , Carole Sinfort
Optimal Control Applications and Methods, 2021, 42 (6), pp.1612-1631. ⟨10.1002/oca.2749⟩
Journal articles hal-03226630v1
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Necessary optimality condition for the minimal time crisis relaxing transverse condition via regularization

Térence Bayen , Kenza Boumaza , Alain Rapaport
ESAIM: Control, Optimisation and Calculus of Variations, 2021, 27, ⟨10.1051/cocv/2021102⟩
Journal articles hal-03445347v1
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Second-order cone optimization of the gradostat

Josh A Taylor , Alain Rapaport
Computers & Chemical Engineering, 2021, 151, ⟨10.1016/j.compchemeng.2021.107347⟩
Journal articles hal-03206215v1
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About frame estimation of growth functions and robust prediction in bioprocess modeling

Emna Krichen , Alain Rapaport , Eric Fouilland
Journal of Process Control, 2020, 85, pp.121-135. ⟨10.1016/j.jprocont.2019.11.009⟩
Journal articles hal-02377600v1
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Improvement of performances of the chemostat used for continuous biological water treatment with periodic controls

Térence Bayen , Alain Rapaport , Fatima Zahra Tani
Journal articles hal-02889779v1
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Analysis of an anaerobic digestion model in landfill with mortality term

Salih Ouchtout , Zoubida Mghazli , Jérôme Harmand , Alain Rapaport , Zakaria Belhachmi
Communications in Pure and Applied Analysis, 2020, 19 (4), pp.2333-2346. ⟨10.3934/cpaa.2020101⟩
Journal articles hal-02315887v1
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Study of performance criteria of serial configuration of two chemostats

Manel Dali Youcef , Alain Rapaport , Tewfik Sari
Mathematical Biosciences and Engineering, 2020, 17 (6), pp.6278-6309. ⟨10.3934/mbe.2020332⟩
Journal articles hal-02935942v1
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A robust asymptotic observer for systems that converge to unobservable states. A batch reactor case study

Alain Rapaport , Denis Dochain
IEEE Transactions on Automatic Control, 2020, 65 (6), pp.2693-2699. ⟨10.1109/TAC.2019.2940870⟩
Journal articles hal-02272755v1
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Study of the chemostat model with non-monotonic growth under random disturbances on the removal rate

Tomas Caraballo , Renato Colucci , Javier Lopez de La Cruz , Alain Rapaport
Mathematical Biosciences and Engineering, 2020, 17 (6), pp.7480-7501. ⟨10.3934/mbe.2020382⟩
Journal articles hal-02971377v1
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Analysis and Optimization of the Chemostat Model with a Lateral Diffusive Compartment

Maria Crespo , Alain Rapaport
Journal of Optimization Theory and Applications, 2020, 185, pp.597-621. ⟨10.1007/s10957-020-01665-2⟩
Journal articles hal-02513979v1
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Insights from Microbial Transition State Theory on Monod's Affinity Constant

Pablo Ugalde-Salas , Elie Desmond-Le Quemener , Jérôme Harmand , Alain Rapaport , Théodore Bouchez
Scientific Reports, 2020, 10 (5323), pp.5323. ⟨10.1038/s41598-020-62213-6⟩
Journal articles hal-02504942v1
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A Note on Optimal and Sub-Optimal Feedback Controls for Biogas Production

Antoine Haddon , Hector Ramirez , Alain Rapaport
Journal of Optimization Theory and Applications, 2020, 186 (3), pp.1053-1055. ⟨10.1007/s10957-020-01723-9⟩
Journal articles hal-02915334v1
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Increasing the dilution rate can globally stabilize two-step biological systems

Jérôme Harmand , Alain Rapaport , Denis Dochain
Journal of Process Control, 2020, 95, pp.67 - 74. ⟨10.1016/j.jprocont.2020.08.009⟩
Journal articles hal-02926040v2
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Optimal periodic control for scalar dynamics under integral constraint on the input

Térence Bayen , Alain Rapaport , Fatima Zahra Tani
Mathematical Control and Related Fields, 2020, 10 (3), pp.547-571. ⟨10.3934/mcrf.2020010⟩
Journal articles hal-02057590v2
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About biomass overyielding of mixed cultures in batch processes

Alain Rapaport , Thibault Nidelet , Sahar El Aida , Jérome Harmand
Mathematical Biosciences, 2020, 322, pp.1-26. ⟨10.1016/j.mbs.2020.108322⟩
Journal articles hal-02469862v1
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Modeling and analysis of random and stochastic input flows in the chemostat model

Tomas Caraballo , Maria-José Garrido-Atienza , Javier López-De-La-Cruz , Alain Rapaport
Discrete and Continuous Dynamical Systems - Series B, 2019, 24 (8), pp.3591-3614. ⟨10.3934/dcdsb.2018280⟩
Journal articles hal-01819374v1
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Shape optimization of spatial chemostat models

Maria Crespo , Benjamin Ivorra , Angel Ramos , Alain Rapaport
Electronic Journal of Differential Equations, 2019, 84 (84), pp.1-26
Journal articles hal-02618199v1
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Controlling recirculation rate for minimal-time bioremediation of natural water resources

Alain Rapaport , Victor Riquelme
Automatica, 2019, 106, pp.77-82. ⟨10.1016/j.automatica.2019.04.037⟩
Journal articles hal-02077779v1
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Optimal and Sub-optimal Feedback Controls for Biogas Production

Antoine Haddon , Hector H. Ramirez , Alain Rapaport
Journal of Optimization Theory and Applications, 2019, 183 (2), pp.642-670. ⟨10.1007/s10957-019-01570-3⟩
Journal articles hal-02165599v1
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Demonstration of facilitation between microalgae to face environmental stress

Emna Krichen , Alain Rapaport , Emilie Le Floc'H , Eric Fouilland
Scientific Reports, 2019, 9 (16076), pp.1-12. ⟨10.1038/s41598-019-52450-9⟩
Journal articles hal-02315867v1
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Minimal time crisis versus minimum time to reach a viability kernel : a case study in the prey-predator model

Térence Bayen , Alain Rapaport
Optimal Control Applications and Methods, 2019, 40 (2), pp.330-350. ⟨10.1002/oca.2484⟩
Journal articles hal-01943636v2
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A way to model stochastic perturbations in population dynamics models with bounded realizations

Tomas Caraballo , Renato Colucci , Javier López-De-La-Cruz , Alain Rapaport
Communications in Nonlinear Science and Numerical Simulation, 2019, 77, pp.239-257. ⟨10.1016/j.cnsns.2019.04.019⟩
Journal articles hal-02105829v2
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A new proof of the competitive exclusion principle in the chemostat

Alain Rapaport , Mario Veruete
Discrete and Continuous Dynamical Systems - Series B, 2019, 24 (8), pp.3755-3764. ⟨10.3934/dcdsb.2018314⟩
Journal articles hal-01834770v1
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Antiwindup Input-Output Linearization Strategy for the Control of a Multistage Continuous Fermenter With Input Constraints

Céline Casenave , Marc Perez , Denis Dochain , Jérome Harmand , Alain Rapaport
IEEE Transactions on Control Systems Technology, 2019, 28 (3), pp.766-775. ⟨10.1109/TCST.2019.2892932⟩
Journal articles hal-02066978v1
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Optimal control of membrane filtration systems

Nesrine Kalboussi , Alain Rapaport , Térence Bayen , Nihel Ben Amar , Fatma Ellouze
IEEE Transactions on Automatic Control, 2019, 64 (5), pp.8704-8709. ⟨10.1109/TAC.2018.2866638⟩
Journal articles hal-01854430v1
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Properties of the chemostat model with aggregated biomass

Alain Rapaport
European Journal of Applied Mathematics, 2018, 29 (6), pp.972-990. ⟨10.1017/S0956792518000141⟩
Journal articles hal-01722120v1
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The reuse of reclaimed water for irrigation around the Mediterranean Rim: a step towards a more virtuous cycle?

Nassim Ait-Mouheb , Akiça Bahri , Bechir Ben Thayer , Boumediene Benyahia , Guilhem Bourrie
Regional Environmental Change, 2018, 18 (3), pp.693 - 705. ⟨10.1007/s10113-018-1292-z⟩
Journal articles hal-01767840v1
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Major changes in the composition of a Southern Ocean bacterial community in response to diatom-derived dissolved organic matter

Marine Landa , Stéphane Blain , Jérôme Harmand , Sébastien Monchy , Alain Rapaport
FEMS Microbiology Ecology, 2018, 94 (4), pp.1-46. ⟨10.1093/femsec/fiy034⟩
Journal articles hal-01734675v1
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High biomass density promotes density-dependent microbial growth rate

Emna Krichen , Jérôme Harmand , Michel Torrijos , Jean-Jacques Godon , Nicolas Bernet
Biochemical Engineering Journal, 2018, 130, pp.66-75. ⟨10.1016/j.bej.2017.11.017⟩
Journal articles hal-01653769v1
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Optimal strategies to refill hydric reservoirs with reused water – application to the Jaunay Lake case study

Maria Crespo Moya , Julien Orsoni , Jérôme Bortoli , Alain Rapaport , Antoine Rousseau
Revue des Sciences de l'Eau / Journal of Water Science, 2018, 31 (4), pp.377-385. ⟨10.7202/1055595ar⟩
Journal articles hal-01808607v2
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Optimal control of physical backwash strategy - towards the enhancement of membrane filtration process performance

Nesrine Kalboussi , Jérôme Harmand , Alain Rapaport , Térence Bayen , Fatma Ellouze
Journal of Membrane Science, 2018, 545, pp.38-48. ⟨10.1016/j.memsci.2017.09.053⟩
Journal articles hal-01591027v1
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Apport de la modélisation pour l’aide à la décision en vue de la réutilisation agricole des eaux usées traitées

Nesrine Kalboussi , Sébastien Roux , Bruno Cheviron , Jérôme Harmand , Alain Rapaport
Journal International Sciences et Techniques de l'Eau et de l'Environnement, 2018, 3 (1), pp.102-107
Journal articles hal-01975462v3
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Some non-intuitive properties of simple extensions of the chemostat model

Alain Rapaport
Ecological Complexity, 2018, 34, pp.111-118. ⟨10.1016/j.ecocom.2017.02.003⟩
Journal articles hal-01465572v1
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Modeling and control of in-situ decontamination of large water resources

Pedro Gajardo , Jérome Harmand , Hector Ramirez Cabrera , Alain Rapaport , Victor Riquelme
ESAIM: Proceedings and Surveys, 2017, ETAMM 2016 - Emerging Trends in Applied Mathematics and Mechanics, 57, pp.70-85. ⟨10.1051/proc/201657070⟩
Journal articles hal-01459969v2
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Experimental validation of a simple dynamic model of a laboratory scale recirculating aquaculture system fitted with submerged membrane bioreactor

Guilherme Araujo Pimentel , Pedro Miranda Almeida , Anne-Lise Hantson , Alain Rapaport , Alain Vande Wouwer
Biochemical Engineering Journal, 2017, 122, pp.1-12. ⟨10.1016/j.bej.2017.02.005⟩
Journal articles hal-01465570v1
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Inherent relevance of MRMT models to concentration variance and mixing-induced reactivity

Tristan Babey , Jean-Raynald de Dreuzy , Alain Rapaport , Alejandro Rojas-Palma
Advances in Water Resources, 2017, 110, pp.291-298. ⟨10.1016/j.advwatres.2017.09.024⟩
Journal articles insu-01609279v1
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About the minimal time crisis problem

Terence Bayen , Alain Rapaport
ESAIM: Proceedings and Surveys, 2017, Emerging Trends in Applied Mathematics and Mechanics, Oana Silvia Serea & Walter Briec Editors, 57, pp.1-11. ⟨10.1051/proc/201657001⟩
Journal articles hal-01465750v1

Spatiotemporal simulations of 2,4-D pesticide degradation by microorganisms in 3D soil-core experiments

Tristan Babey , Laure Vieublé Gonod , Alain Rapaport , Marc M. Pinheiro , Patricia Garnier
Ecological Modelling, 2017, 344, pp.48-61. ⟨10.1016/j.ecolmodel.2016.11.006⟩
Journal articles insu-01403026v1
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Modeling and optimization of activated sludge bioreactors for wastewater treatment taking into account spatial inhomogeneities

Maria Crespo , Benjamin Ivorra , Angel Manuel Ramos , Alain Rapaport
Journal of Process Control, 2017, 54, pp.118-128. ⟨10.1016/j.jprocont.2017.03.009⟩
Journal articles hal-01503256v1
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Equivalence of finite dimensional input-output models of solute transport and diffusion in geoscience

Alain Rapaport , Alejandro Rojas-Palma , Jean-Raynald de Dreuzy , Hector Ramirez
IEEE Transactions on Automatic Control, 2017, 62 (10), pp.5470-5477. ⟨10.1109/TAC.2017.2701150⟩
Journal articles hal-01334540v3
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Corrigendum to “Design, analysis and validation of a simple dynamic model of a submerged membrane bioreactor”

Guilherme Araujo Pimentel , Alain Vande Wouver , Jérôme Harmand , Alain Rapaport
Water Research, 2016, 89, pp.384-385. ⟨10.1016/j.watres.2015.10.044⟩
Journal articles hal-02638986v1
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Modelling of biological decontamination of a water resource in natural environment and related feedback strategies

Sébastien Barbier , Alain Rapaport , Antoine Rousseau
Journal of Scientific Computing, 2016, 68 (3), pp.1267-1280. ⟨10.1007/s10915-016-0178-9⟩
Journal articles hal-01138335v4
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Emergence of coexistence and limit cycles in the chemostat model with flocculation for a general class of functional responses

R. Fekih-Salem , Alain Rapaport , T. Sari
Applied Mathematical Modelling, 2016, 40 (17-18), pp.7656-7677. ⟨10.1016/j.apm.2016.03.028⟩
Journal articles hal-01294253v1
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Dynamical modelling and optimal control of landfills

Alain Rapaport , Térence Bayen , Matthieu Sebbah , Andres Donoso-Bravo , Alfredo Torrico
Mathematical Models and Methods in Applied Sciences, 2016, 26 (5), pp.901-929. ⟨10.1142/S0218202516500214⟩
Journal articles hal-01087946v2
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About Moreau-Yosida regularization of the minimal time crisis problem

Térence Bayen , Alain Rapaport
Journal of Convex Analysis, 2016, 23 (1), pp.263-290
Journal articles hal-01299724v1
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Perspectives in Mathematical Modelling for Microbial Ecology

Matthew J. Wade , Jérôme Harmand , Boumediene Benyahia , Théodore Bouchez , Stephane Chaillou
Ecological Modelling, 2016, 321 (64-74), pp.64-74. ⟨10.1016/j.ecolmodel.2015.11.002⟩
Journal articles hal-01227423v1
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Optimal feedback synthesis and minimal time function for the bioremediation of water resources with two patches

Hector Ramirez Cabrera , Alain Rapaport , Victor Riquelme
SIAM Journal on Control and Optimization, 2016, 54 (3), pp.1697-1718. ⟨10.1137/140989443⟩
Journal articles hal-01300953v1

Global dynamics of the buffered chemostat for a general class of response functions

Alain Rapaport , Ihab Haidar , Jérôme Harmand
Journal of Mathematical Biology, 2015, 71 (1), pp.69-98. ⟨10.1007/s00285-014-0814-7⟩
Journal articles hal-00923826v1
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Design, Analysis and Validation of a Simple Dynamic Model of a Submerged Membrane Bioreactor

Guilherme Araujo Pimentel , Alain Vande Wouwer , Jerome Harmand , Alain Rapaport
Water Research, 2015, 70, pp.97-108. ⟨10.1016/j.watres.2014.11.043⟩
Journal articles hal-01087630v1
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Light-driven increase in carbon yield is linked to maintenance in the proteorhodopsin-containing Photobacterium angustum S14

Alicia Courties , Thomas Riedel , Alain Rapaport , Philippe Lebaron , Marcelino Suzuki
Frontiers in Microbiology, 2015, 6, pp.688. ⟨10.3389/fmicb.2015.00688⟩
Journal articles hal-01228516v1

Mieux gérer les ressources naturelles

Jean-Raynald de Dreuzy , Alain Rapaport
Interstices, 2014
Journal articles hal-03977022v1
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Priming effect and microbial diversity in ecosystem functioning and response to global change: a modeling approach using the SYMPHONY model

Nazia Perveen , Sébastien Barot , Gaël Alvarez , Katja Klumpp , Alain Rapaport
Global Change Biology, 2014, 20 (4), pp.1174-1190. ⟨10.1111/gcb.12493⟩
Journal articles hal-00914045v1
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A methodology for a functional interpretation of DGGE with the help of mathematical modelling. Application in bio-hydrogen production

Estella Tapia , Andres Donoso-Bravo , Léa Cabrol , Maria Madalena Alves , Alcina Pereira
Water Science and Technology, 2014, 69 (3), pp.511-517. ⟨10.2166/wst.2013.719⟩
Journal articles hal-00914058v1
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Optimality of affine control system of several species in competition on a Sequential Batch Reactor

J.C. Rodriguez , Hector Ramirez , Pedro Gajardo , Alain Rapaport
International Journal of Control, 2014, 87 (9), pp.1877-1885. ⟨10.1080/00207179.2014.891360⟩
Journal articles hal-01088224v1

Community assembly effects shape the biodiversity ecosystem functioning relationships

Benoit Jaillard , Alain Rapaport , Jérôme Harmand , Alain Brauman , Naoise Nunan
Functional Ecology, 2014, 28 (6), pp.1523-1533. ⟨10.1111/1365-2435.12267⟩
Journal articles hal-00937779v1
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Minimal Time Control of the Two Tanks Gradostat Model Under a Cascade Input Constraint

Térence Bayen , Alain Rapaport , Matthieu Sebbah
SIAM Journal on Control and Optimization, 2014, 52 (4), pp.2568-2594. ⟨10.1137/130950379⟩
Journal articles hal-00798651v3
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Influence of porosity structures on mixing-induced reactivity at chemical equilibrium in mobile/immobile Multi-Rate Mass Transfer (MRMT) and Multiple INteracting Continua (MINC) models

Jean-Raynald de Dreuzy , Alain Rapaport , Tristan Babey , Jérôme Harmand
Water Resources Research, 2013, 49 (12), pp.8511-8530. ⟨10.1002/2013WR013808⟩
Journal articles hal-00914049v1
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Homogenised model linking microscopic and macroscopic dynamics of a biofilm: Application to growth in a plug flow reactor

Chloé Deygout , Annick Lesne , Fabien Campillo , Alain Rapaport
Ecological Modelling, 2013, 250, pp.15-24. ⟨10.1016/j.ecolmodel.2012.10.020⟩
Journal articles hal-00604377v1
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Extension of the chemostat model with flocculation

Radhouane Fekih-Salem , Jérôme Harmand , Claude Lobry , Alain Rapaport , Tewfik Sari
Journal of Mathematical Analysis and Applications, 2013, 397 (1), pp.292-306. ⟨10.1016/j.jmaa.2012.07.055⟩
Journal articles hal-00777539v1

A method for the reconstruction of unkwnown non-monotonic growth functions in the chemostat

Jan Sieber , Alain Rapaport , Serafim Rodrigues , Mathieu Desroches
Bioprocess and Biosystems Engineering, 2013, 36 (10), pp.1496-1507. ⟨10.1007/s00449-013-0912-8⟩
Journal articles hal-00860573v1
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Minimal time control of fed-batch processes with growth functions having several maxima

Alain Rapaport , Denis Dochain
IEEE Transactions on Automatic Control, 2011, 56 (11), pp.2671 - 2676. ⟨10.1109/TAC.2011.2159424⟩
Journal articles hal-00529001v1
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Comparison of numerical simulations of reactive transport and chemostat-like models

Ihab Haidar , Frédéric Gérard , Alain Rapaport
Computational Ecology and Software, 2011, 1 (4), pp.224-239
Journal articles hal-00613616v2

A viability analysis for an explicit inshore-offshore model

Mounir Jerry , Nadia Raissi , Alain Rapaport
JP Journal of Applied Mathematics, 2011, 1 (1), pp.41-60
Journal articles hal-00858572v1
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Minimal-time bioremediation of natural water resources

Pedro Gajardo , Jérôme Harmand , Hector Ramirez Cabrera , Alain Rapaport
Automatica, 2011, 47 (8), pp.1764-1769. ⟨10.1016/j.automatica.2011.03.001⟩
Journal articles hal-00521118v2
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Effects of spatial structure and diffusion on the performances of the chemostat

Alain Rapaport , Ihab Haidar , Frédéric Gérard
Mathematical Biosciences and Engineering, 2011, 8 (4), pp.953-971. ⟨10.3934/mbe.2011.8.953⟩
Journal articles hal-00536647v1
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Biogeography of soil microbial communities: a review and a description of the ongoing french national initiative

Lionel Ranjard , Samuel S. Dequiedt , Claudy C. Jolivet , Nicolas P.A. Saby , Jean Thioulouse
Agronomy for Sustainable Development, 2010, 30 (2), pp.359-365. ⟨10.1051/agro/2009033⟩
Journal articles hal-00886549v1

Can protected areas potentially enlarge viability domains for harvesting management ?

Mounir Jerry , Alain Rapaport , Pierre Cartigny
Nonlinear Analysis: Real World Applications, 2010, 11 (2), pp.720-734. ⟨10.1016/j.nonrwa.2009.01.042⟩
Journal articles hal-00859544v1
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Hare or tortoise? Trade-offs in recovering sustainable bioeconomic systems

Vincent Martinet , Olivier Thébaud , Alain Rapaport
Environmental Modeling & Assessment, 2010, 15 (6), pp.503-517. ⟨10.1007/s10666-010-9226-2⟩
Journal articles hal-00859545v1

Towards functional molecular fingerprints

Maxime Dumont , Jérôme Harmand , Alain Rapaport , Jean-Jacques Godon
Environmental Microbiology, 2009, 11 (7), pp.1717-1727. ⟨10.1111/j.1462-2920.2009.01898.x⟩
Journal articles hal-00858540v1

Optimal time switching control for multi-reaction batch process

D. Mazouni , Jérome Harmand , Alain Rapaport , Hassan Hammouri
Optimal Control Applications and Methods, 2009, 31 (4), pp.289-301. ⟨10.1002/oca.905⟩
Journal articles hal-00433549v1
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Long run coexistence in the chemostat with multiple species

Alain Rapaport , Denis Dochain , Jérôme Harmand
Journal of Theoretical Biology, 2009, 257 (2), pp.252-259. ⟨10.1016/j.jtbi.2008.11.015⟩
Journal articles hal-00554535v1

Optimal control of renewable resources with alternative use

Adriana Piazza , Alain Rapaport
Mathematical and Computer Modelling, 2009, 50 (1-2), pp.260-272. ⟨10.1016/j.mcm.2008.12.009⟩
Journal articles hal-00858535v1

Practical coexistence of two species in the chemostat - A slow-fast characterization

Miled El Hajji , Alain Rapaport
Mathematical Biosciences, 2009, 218 (1), pp.33-39. ⟨10.1016/j.mbs.2008.12.003⟩
Journal articles hal-00858543v1
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Practical coexistence in the chemostat with arbitrarily close growth functions

Alain Rapaport , Denis Dochain , Jérôme Harmand
Revue Africaine de Recherche en Informatique et Mathématiques Appliquées, 2008, Volume 9, 2007 Conference in Honor of Claude Lobry, 2008 (Spécial issue of Claude Lobry), pp.231-243. ⟨10.46298/arima.1900⟩
Journal articles hal-00999808v2

Biological control of the chemostat with nonmonotonic response and different removal rates

Alain Rapaport , Jérôme Harmand
Mathematical Biosciences and Engineering, 2008, 5 (3), pp.539-547. ⟨10.3934/mbe.2008.5.539⟩
Journal articles hal-00857810v1

Minimal time sequential batch reactors with bounded and impulse controls for one or more species

Pedro Gajardo , Hector Ramirez , Alain Rapaport
SIAM Journal on Control and Optimization, 2008, 47 (6), pp.2827-2856. ⟨10.1137/070695204⟩
Journal articles hal-00857823v1

Application of a robust interval observer to an anaerobic digestion process

Victor V. Alcaraz-Gonzalez , Jerome J. Harmand , Alain Rapaport , Jean-Philippe J.-P. Steyer , Victor V. Gonzalez-Alvarez
Asia-Pacific Journal of Chemical Engineering, 2008, 13 (3-4), pp.267-278. ⟨10.1002/apj.5500130308⟩
Journal articles hal-01000434v1

Coexistence in the design of a series of two chemostats

Alain Rapaport , Jérôme Harmand , Frédéric Mazenc
Nonlinear Analysis: Real World Applications, 2008, 9 (3), pp.1052-1067. ⟨10.1016/j.nonrwa.2007.02.003⟩
Journal articles hal-00857811v1

Microbial ecology and bioprocess control : Opportunities and challenges

Jérôme Harmand , Alain Rapaport , Denis Dochain , Claude Lobry
Journal of Process Control, 2008, 18 (9), pp.865-875. ⟨10.1016/j.jprocont.2008.06.017⟩
Journal articles hal-00857827v1

How flocculation can explain coexistence in the chemostat

Bart Haegeman , Alain Rapaport
Journal of Biological Dynamics, 2008, 2 (1), pp.1-13. ⟨10.1080/17513750801942537⟩
Journal articles hal-00857826v1

Multiple stable equilibrium profiles in tubular bioreactors

Abdou Khadry Dramé , Claude Lobry , Jérôme Harmand , Alain Rapaport , Frédéric Mazenc
Mathematical and Computer Modelling, 2008, 48 (11-12), pp.1840-1853. ⟨10.1016/j.mcm.2008.05.008⟩
Journal articles hal-00857818v1
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Persistence in ratio-dependent models of consumer-resource dynamics

Claude Lobry , Frédéric Mazenc , Alain Rapaport
Electronic Journal of Differential Equations, 2007, Conf 15, pp.211-220
Journal articles hal-01189290v1

Nonturnpike optimal solutions and their approximations in infinite horizon

Alain Rapaport , Pierre P. Cartigny
Journal of Optimization Theory and Applications, 2007, 134 (1), pp.1-14. ⟨10.1007/s10957-007-9206-0⟩
Journal articles hal-01001127v1
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Polytopic Lyapunov functions for persistence analysis of competing species

Frédéric Grognard , Alain Rapaport , Frédéric Mazenc
Discrete and Continuous Dynamical Systems - Series B, 2007, 8 (1), pp.73-93. ⟨10.3934/dcdsb.2007.8.73⟩
Journal articles inria-00000873v1

La modélisation des écosystèmes microbiens : une nécessité pour la recherche et l'industrie.

Jerome Harmand , Claude Lobry , Alain Rapaport , Jean-Jacques Godon
Biofutur, 2006, 25 (268), pp.54-57
Journal articles hal-01019291v1

Sur un modèle densité-dépendant de compétition pour une resource

Claude C. Lobry , Alain Rapaport , Frédéric F. Mazenc
Comptes Rendus Biologies, 2006, 329 (2), pp.63-70. ⟨10.1016/j.crvi.2005.11.004⟩
Journal articles hal-01001121v1

Viability analysis for the sustainable management of renewable resources

Alain Rapaport , Jean-Philippe Terreaux , Luc L. Doyen
Mathematical and Computer Modelling, 2006, 43 (5-6), pp.466-484. ⟨10.1016/j.mcm.2005.12.014⟩
Journal articles hal-01000436v1

Multiple steady state profiles in interconnected biological systems

Abdou Khadry A.K. Dramé , Jerome J. Harmand , Alain Rapaport , Claude C. Lobry
Mathematical and Computer Modelling of Dynamical Systems, 2006, 12 (5), pp.379-393. ⟨10.1080/13873950600723277⟩
Journal articles hal-01001125v1

Output tracking of continuous bioreactors through recirculation and by-pass

Jerome Harmand , Alain Rapaport , Frédéric Mazenc
Automatica, 2006, 42 (6), pp.1025-1032. ⟨10.1016/j.automatica.2006.02.012⟩
Journal articles hal-01003231v1

Can marine protected areas enhance both economic and biological situations?

Dominique D. Ami , Pierre P. Cartigny , Alain Rapaport
Comptes Rendus Biologies, 2005, 328 (4), pp.357-366. ⟨10.1016/j.crvi.2004.10.018⟩
Journal articles hal-00999802v1

Competition between most rapid approach paths: Necessary and sufficient conditions

Alain Rapaport , Pierre P. Cartigny
Journal of Optimization Theory and Applications, 2005, 124 (1), pp.1-27. ⟨10.1007/s10957-004-6463-z⟩
Journal articles hal-00999803v1

Characterization and approximation of value functions of differential games with maximum cost in infinite horizon

S. S. Di Marco , Alain Rapaport
International Game Theory Review, 2005, 7 (4), pp.369-393. ⟨10.1142/S0219198905000594⟩
Journal articles hal-01001122v1

Robust interval-based regulation for anaerobic digestion processes

Victor V. Alcaraz-Gonzalez , Jerome J. Harmand , Alain Rapaport , Jean-Philippe J.-P. Steyer , Victor V. Gonzalez-Alvarez
Water Science and Technology, 2005, 52 (1-2), pp.449-456. ⟨10.2166/wst.2005.0552⟩
Journal articles hal-01000435v1

Persistence in ecological models of competition for a single resource

Claude C. Lobry , Frédéric F. Mazenc , Alain Rapaport
Comptes Rendus. Mathématique, 2005, 340 (3), pp.199-204. ⟨10.1016/j.crma.2004.12.021⟩
Journal articles hal-01001120v1

Interval observers for biochemical processes with uncertain kinetics and inputs

Alain Rapaport , D. Dochain
Mathematical Biosciences, 2005, 193 (2), pp.235-253. ⟨10.1016/j.mbs.2004.07.004⟩
Journal articles hal-01019721v1

Optimal design of two interconnected enzymatic bioreactors

Jérôme Harmand , Alain Rapaport , A.K. Dramé
Journal of Process Control, 2004, 14, pp.785-794
Journal articles hal-02674885v1

Optimal design of interconnected bioreactors: New results

Jérôme Harmand , Alain Rapaport , A. Trofino
AIChE Journal, 2003, 49 (6), pp.1433-1450
Journal articles hal-02671926v1

Optimality of greedy and sustainable policies in the management of renewable resources

A Rapaport , S Sraidi , Jean-Philippe Terreaux
Optimal Control Applications and Methods, 2003, 24, pp.23 - 44. ⟨10.1002/oca.718⟩
Journal articles hal-04210849v1

Software sensors for highly uncertain WWTPs: a new approach based on interval observers

V. Alcaraz-González , Jérôme Harmand , Alain Rapaport
Water Research, 2002, 36, pp.2515-2524
Journal articles hal-02682293v1

Robust regulation of a class of partially observed nonlinear continuous bioreactors

Alain Rapaport , Jérôme Harmand
Journal of Process Control, 2002, 12, pp.291-302
Journal articles hal-02677028v2

Characterization of barriers of differential games

Alain Rapaport
Journal of Optimization Theory and Applications, 1998, 97 (1), pp.151-179. ⟨10.1023/A:1022631318424⟩
Journal articles hal-00999962v1

Robust stabilization of the angular velocity of a rigid body

A. Astolfi , Alain Rapaport
Systems and Control Letters, 1998, 34, pp.257-264
Journal articles hal-02689174v1
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Contribution of modeling and control for improving nutrient recycling via reuse

Jérôme Harmand , Farouk Aichouche , Francesco Corona , Antoine Haddon , Michela Mulas
13th IWA International Conference on Water Reclamation and Reuse - Water Reuse : Overcoming the Challenges of Growth and Climate Change, IWA, Jan 2023, CHENNAI, India
Conference papers hal-03932392v1
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Design of asymptotic observers to estimate parameters of systems that are not asymptotically identifiable

Alain Rapaport , Denis Dochain
22nd World Congress of the International Federation of Automatic Control, Aug 2023, Yokohama, Japan
Conference papers hal-04064503v1
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Control theory perspectives on mathematical epidemiology

Pierre-Alexandre Bliman , Alain Rapaport
IFAC World Congress 2023 - 22nd World Congress of the International Federation of Automatic Control, Jul 2023, Yokohama, Japan. 3p
Conference papers hal-04064515v1
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Mathematical model of anaerobic digestion with hydrolytic process by means of leachate recirculation in landfills

Oumaima Laraj , Noha El Khattabi , Alain Rapaport , Jérôme Harmand
International Conference of Numerical Analysis and Optimization Days (JANO’14), Feb 2023, Rabat (MOROCCO), Morocco
Conference papers hal-04174500v1
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An adaptive observer for time-varying nonlinear systems - application to a crop irrigation model

Gildas Dadjo , Denis Efimov , Jérôme Harmand , Alain Rapaport , Rosane Ushirobira
62nd IEEE Conference on Decision and Control, Dec 2023, Singapore, Singapore
Conference papers hal-04174481v1
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Identifiability and Observability via decoupled variables: Application to a malaria intra-host model

Derdei Bichara , Abderrahman Iggidr , Mohamed Oumoun , Alain Rapaport , Gauthier Sallet
22nd World Congress of the International Federation of Automatic Control, Jul 2023, Yokohama, Japan. pp.576-580, ⟨10.1016/j.ifacol.2023.10.1629⟩
Conference papers hal-04038150v2
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On the problem of minimizing the epidemic final size for SIR model by social distancing

Pierre-Alexandre Bliman , Alain Rapaport
IFAC World Congress 2023 - 22nd World Congress of the International Federation of Automatic Control, IFAC - International Federation of Automatic Control, Jul 2023, Yokohama, Japan
Conference papers hal-04063930v1
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About the identifiability and observability of the SIR epidemic model with quarantine

Frédéric Hamelin , Abderrahman Iggidr , Alain Rapaport , Gauthier Sallet , Max Souza
22nd World Congress of the International Federation of Automatic Control, Jul 2023, Yokohama, Japan. pp.4025-4030, ⟨10.1016/j.ifacol.2023.10.1384⟩
Conference papers hal-04064464v1

Singular arcs in optimal periodic control problems with scalar dynamics and integral input constraint

Alain Rapaport
Workshop on Optimal Control Theory, Jun 2022, Rouen, France
Conference papers hal-03705105v1
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Deterministic models to decipher the lag phase duration during diauxie

Florian Dupeuble , Alain Rapaport , Thomas Guilmeau , Josué Tchouanti , Brice Enjalbert
10th Vienna International Conference on Mathematical Modelling (MATHMOD), Jul 2022, Vienna, Austria. pp.481-486, ⟨10.1016/j.ifacol.2022.09.141⟩
Conference papers hal-03610317v1
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Mathematical model of anaerobic digestion with leachate recirculation

Oumaima Laraj , Noha El Khattabi , Alain Rapaport
CARI 2022, Oct 2022, Tunis, Tunisia
Conference papers hal-03714305v1
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Equivalent formulations of the minmum peak problem and applications

Emilio Molina , Alain Rapaport , Hector Ramirez Cabrera
French German Portuguese Conference on Optimization - FGP22, May 2022, Porto, Portugal
Conference papers hal-03694722v1

Les enjeux du Génie des Procédés pour la réutilisation des eaux usées traitées au sein du réseau REUSE d'INRAE – de la nécessité d'une approche pluridisciplinaire et multi-échelles

Nassim Ait-Mouheb , Sami Bouarfa , Anne-Laure Collard , Christelle Guigui , Jérôme Labille
SFGP 2022 « Sciences et Solutions technologiques pour la Transition », SFGP, Nov 2022, Toulouse, France
Conference papers hal-04166926v1
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Some non-intuitive properties of serial chemostats with and without mortality

Manel Dali-Youcef , Jerome Harmand , Alain Rapaport , Tewfik Sari
10th Vienna International Conference on Mathematical Modelling (Mathmod), Jul 2022, Vienna, Austria. ⟨10.1016/j.ifacol.2022.09.140⟩
Conference papers hal-03697663v2

Control models for crop management: Application to wastewater reuse

Antoine Haddon , Jérôme Harmand , Alain Rapaport , Sébastien Roux
British Applied Mathematics Colloquium - Minisymposium: Mathematical models of plant-soil interactions, Apr 2022, Loughborough, United Kingdom
Conference papers hal-04105032v1
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Illustration of the application of the multi-observers approach

Ihab Haidar , Jean-Pierre Barbot , Alain Rapaport
9th International Conference on Systems and Control (ICSC'2021), Nov 2021, Caen, France
Conference papers hal-03453074v1
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Multi-objective Dynamic Optimization of Crops Irrigated with Reused Treated Wastewater

Antoine Haddon , Alain Rapaport , Sébastien Roux , Jérome Harmand
SIMS EUROSIM 2021 conference on Modelling and Simulation, Finnish Society of Automation, Sep 2021, Helsinki, Finland
Conference papers hal-03363246v1
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Modeling and optimal control for production-regeneration systems - preliminary results

Farouk Aichouche , Nesrine Kalboussi , Alain Rapaport , Jérome Harmand
European Control Conference ECC'20, May 2020, Saint Petersburg, Russia. pp.564-569, ⟨10.23919/ECC51009.2020.9143741⟩
Conference papers hal-02587771v1
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Modeling bounded random fluctuations in biological systems: application to the chemostat model with two species

Tomas Caraballo , Javier López-De-La-Cruz , Alain Rapaport
8th IFAC Conference on Foundations of Systems Biology in Engineering (FOSBE 2019), Oct 2019, Valencia, Spain. pp.187-192, ⟨10.1016/j.ifacol.2019.12.256⟩
Conference papers hal-02615552v1

Weak resilience to invasion in the chemostat model and asymptotically periodic controls

Alain Rapaport
French Latin-American Conference on New Trends in Applied Mathematics (FLACAM 2019), Nov 2019, Santiago de Chile, Chile
Conference papers hal-02355697v1

Modelling MBRs for optimizing water reuse in agriculture

Nesrine Kalboussi , Farouk Aichouche , Alain Rapaport , Jérôme Harmand
10th IWA Symposium on Modelling and Integrated Assessment (Watermatex 2019), Sep 2019, Copenhagen, Denmark
Conference papers hal-02276307v1
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Design and mathematical optimization of multi-strain ecosystems in winery

Sahar El Aida , Olivier Harle , Jean-Roch Mouret , Alain Rapaport , Thibault Nidelet
MicrobiOccitanie 2019, Feb 2019, Montpellier, France
Conference papers hal-02901337v1
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About overyielding with mixed cultures in batch processes

Jérôme Harmand , Alain Rapaport , Thibault Nidelet
8th IFAC Conference on Foundations of Systems Biology in Engineering (FOSBE 2019), Oct 2019, Valencia, Spain. pp.163-168, ⟨10.1016/j.ifacol.2019.12.252⟩
Conference papers hal-02318595v1
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A hybrid control against species invasion in the chemostat

Fatima Zahra Tani , Alain Rapaport , Térence Bayen
IEEE Conference on Decision and Control CDC2019, IEEE, Dec 2019, Nice, France. pp.2814-2819, ⟨10.1109/CDC40024.2019.9029692⟩
Conference papers hal-02433702v1

About optimal crop irrigation planing under water scarcity

Kenza Boumaza , Nesrine Kalboussi , Alain Rapaport , Sébastien Roux
Sixth International Conference on Continuous Optimization ICCOPT 2019, Aug 2019, Berlin, Germany
Conference papers hal-02263850v1
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About modeling and control strategies for scheduling crop irrigation

Nesrine Kalboussi , Sébastien Roux , Kenza Boumaza , Carole Sinfort , Alain Rapaport
IFAC Workshop on Control Methods for Water Resource Systems - CMWRS2019, Sep 2019, Delft, Netherlands. pp.43-48, ⟨10.1016/j.ifacol.2019.11.007⟩
Conference papers hal-02293097v1
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A multi observers approach when observability index is higher than the state dimension - a case study

Ihab Haidar , Jean-Pierre Barbot , Alain Rapaport
IEEE Conference on Decision and Control CDC2019, IEEE, Dec 2019, Nice, France. ⟨10.1109/CDC40024.2019.9029675⟩
Conference papers hal-02434293v1
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Processing Soil Water Content Measurements to Estimate Crop Water Requirements and Optimize Irrigation Supply

Fadi Karam , Abdul Mouneimne , Farouk Aichouche , Alain Rapaport , Jérôme Harmand
IFAC Workshop on Control Methods for Water Resource Systems - CMWRS2019, International Federation of Automatic Control (IFAC)., Sep 2019, Delft, Netherlands. pp.49-53, ⟨10.1016/j.ifacol.2019.11.008⟩
Conference papers hal-02408187v1
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Productivity analysis and non-linear gain scheduling approach for multi-species bioprocesses with product inhibition

Piotr Skupin , Alain Rapaport
IEEE Conference on Decision and Control CDC2019, Dec 2019, Nice, France. pp.7-12, ⟨10.1109/CDC40024.2019.9028869⟩
Conference papers hal-02434291v1
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Periodic controls for discriminating density dependent growth in the chemostat

Fatima Zahra Tani , Alain Rapaport , Térence Bayen
IEEE Conference on Decision and Control CDC2019, IEEE, Dec 2019, Nice, France. pp.4735-4740, ⟨10.1109/CDC40024.2019.9029891⟩
Conference papers hal-02433700v1
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First Results of Optimal Control of Average Biogas Production for the Chemostat Over an Infinite Horizon

Antoine Haddon , Hector Ramirez , Alain Rapaport
IFAC International Conference on Mathematical Modelling - MATHMOD 2018, Feb 2018, Vienna, Austria. pp.725-729, ⟨10.1016/j.ifacol.2018.03.123⟩
Conference papers hal-01716604v1

Apport de la modélisation pour l’aide à la décision en vue de la réutilisation agricole des eaux usées traitées

Nesrine Kalboussi , Sébastien Roux , Bruno Cheviron , Jérôme Harmand , Alain Rapaport
Colloque International Sciences et Techniques de l’Eau & de l’Environnement (STEE'2018), Noureddine GAALOUL, Oct 2018, Hammamet, Tunisie. pp.6
Conference papers hal-01975491v1

Controlling recirculation rate in minimal-time bioremediation of natural water resources

Victor Riquelme , Alain Rapaport
EURO 2018 - 29th European Conference of Operational Research, Jul 2018, Valencia, Spain
Conference papers hal-01838401v1
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An asymptotic observer for batch processes with single biogas measurement

D. Dochain ,