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inria-00000873v1  Journal articles
Alain RapaportFrédéric GrognardFrederic Mazenc. Polytopic Lyapunov functions for persistence analysis of competing species
Discrete and Continuous Dynamical Systems - Series B, American Institute of Mathematical Sciences, 2007, 8 (1), pp.73-93. ⟨10.3934/dcdsb.2007.8.73⟩
hal-00433549v1  Journal articles
D. MazouniJérôme HarmandAlain RapaportHassan Hammouri. Optimal time switching control for multi-reaction batch process
Optimal Control Applications and Methods, Wiley, 2009, 31 (4), pp.289-301. ⟨10.1002/oca.905⟩
hal-00529001v1  Journal articles
Alain RapaportDenis Dochain. Minimal time control of fed-batch processes with growth functions having several maxima
IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2011, 56 (11), pp.2671 - 2676. ⟨10.1109/TAC.2011.2159424⟩
hal-00613616v2  Journal articles
Ihab HaidarFrédéric GérardAlain Rapaport. Comparison of numerical simulations of reactive transport and chemostat-like models
Computational Ecology and Software, International Society of Computational Ecology, 2011, 1 (4), pp.224-239
hal-00726364v1  Conference papers
Denis DochainPatrick de LeenheerAlain Rapaport. About Transgressive Over-Yielding in the Chemostat
IFAC MATHMOD 2012 - 7th Vienna International Conference on Mathematical Modelling, Feb 2012, Vienna, Austria. pp.653-658, ⟨10.3182/20120215-3-AT-3016.00116⟩
hal-00777539v1  Journal articles
Radhouane Fekih-SalemJérôme HarmandClaude LobryAlain RapaportTewfik Sari. Extension of the chemostat model with flocculation
Journal of Mathematical Analysis and Applications, Elsevier, 2013, 397 (1), pp.292-306. ⟨10.1016/j.jmaa.2012.07.055⟩
hal-00787510v2  Conference papers
Alain RapaportJan SieberSerafim RodriguesMathieu Desroches. Extremum seeking via continuation techniques for optimizing biogas production in the chemostat
9th IFAC Symposium on Nonlinear Control Systems (NOLCOS 2013), Sep 2013, Toulouse, France. pp.152-157, ⟨10.3182/20130904-3-FR-2041.00053⟩
hal-00857811v1  Journal articles
Alain RapaportJérôme HarmandFrederic Mazenc. Coexistence in the design of a series of two chemostats
Nonlinear Analysis: Real World Applications, Elsevier, 2008, 9 (3), pp.1052-1067. ⟨10.1016/j.nonrwa.2007.02.003⟩
hal-00857823v1  Journal articles
Pedro GajardoHector RamirezAlain Rapaport. Minimal time sequential batch reactors with bounded and impulse controls for one or more species
SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2008, 47 (6), pp.2827-2856. ⟨10.1137/070695204⟩
hal-00857826v1  Journal articles
Bart HaegemanAlain Rapaport. How flocculation can explain coexistence in the chemostat
Journal of Biological Dynamics, Taylor & Francis Open, 2008, 2 (1), pp.1-13. ⟨10.1080/17513750801942537⟩
hal-00857832v1  Conference papers
Maxime DumontAlain RapaportBoumediene BenyahiaJean-Jacques GodonJérôme Harmand. Automatic control may help to investigate microbial ecological questions
International symposium on biotechnology (ISB 2008), 2008, Sfax, Tunisia. pp.OC34 S2
hal-00858535v1  Journal articles
Adriana PiazzaAlain Rapaport. Optimal control of renewable resources with alternative use
Mathematical and Computer Modelling, Elsevier, 2009, 50 (1-2), pp.260-272. ⟨10.1016/j.mcm.2008.12.009⟩
hal-00858540v1  Journal articles
Maxime DumontJérôme HarmandAlain RapaportJean-Jacques Godon. Towards functional molecular fingerprints
Environmental Microbiology, Society for Applied Microbiology and Wiley-Blackwell, 2009, 11 (7), pp.1717-1727. ⟨10.1111/j.1462-2920.2009.01898.x⟩