Edit Profile (opens in new tab) Rapaport, Alain Co-Author Distance Author ID: rapaport.alain Published as: Rapaport, Alain; Rapaport, A.; Rapaport, A. E. more...less Homepage: https://sites.google.com/site/alainrapaport/papers External Links: MGP · ORCID · ResearchGate · IdRef · theses.fr Documents Indexed: 97 Publications since 1995, including 1 Book and 11 Additional arXiv Preprints Co-Authors: 76 Co-Authors with 92 Joint Publications 1,549 Co-Co-Authors all top 5 Co-Authors 3 single-authored 15 Harmand, Jérôme 10 Bayen, Térence 8 Caraballo Garrido, Tomás 7 Lobry, Claude 7 López-de-la-Cruz, Javier 7 Mazenc, Frédéric 6 Cartigny, Pierre 6 Dochain, Denis 6 Ramírez, Héctor C. 5 Sari, Tewfik 4 Colucci, Renato 4 Gajardo, Pedro 4 Haidar, Ihab 3 Astolfi, Alessandro 3 Bernhard, Pierre 3 Boumaza, Kenza 3 Molina, Emilio 3 Ramírez C., Héctor 3 Riquelme, Victor 2 Crespo, María 2 Dali Youcef, Manel 2 Desroches, Mathieu 2 Dramé, Abdou Khadry 2 Fekih-Salem, Radhouane 2 Garrido-Atienza, María José 2 Gérard, Frédéric 2 Guilmeau, Thomas 2 Haddon, Antoine 2 Iggidr, Abderrahman 2 Jerry, M. 2 Kalboussi, Nesrine 2 Rodrigues, Serafim 2 Rousseau, Antoine 2 Sallet, Gauthier 2 Sebbah, Matthieu 2 Sieber, Jan 2 Tani, Fatima Zahra 2 Taylor, Josh A. 2 Terreaux, J. P. 1 Barbier, Sébastien 1 Barbot, Jean-Pierre 1 Belhachmi, Zakaria 1 Ben Amar, Nihel 1 Crepey, Stephane 1 Cunniffe, Nik J. 1 de Dreuzy, Jean-Raynald 1 De Leenheer, Patrick 1 Di Marco, Silvia C. 1 Donoso-Bravo, Andres 1 El Aida, S. 1 El Hajji, Miled 1 Ellouze, Fatma 1 Goreac, Dan 1 Gouzé, Jean-Luc 1 Grognard, Frédéric 1 Haegeman, Bart 1 Hammouri, Hassan 1 Han, Xiaoying 1 Ivorra, Benjamin 1 Kloeden, Peter Eris 1 Mazouni, Djalel 1 Mghazli, Zoubida 1 Mimouni, Ismail 1 Nidelet, T. 1 Ouchtout, Salih 1 Piazza, Adriana 1 Raïssi, Nadia 1 Ramos, Angel Manuel 1 Rojas-Palma, Alejandro 1 Roux, Sébastien 1 Sinfort, Carole 1 Souza, Max O. 1 Sraidi, S. 1 Torrico, Alfredo 1 Veruete, Mario 1 Vinter, Richard B. all top 5 Serials 8 Journal of Optimization Theory and Applications 7 IEEE Transactions on Automatic Control 6 Automatica 4 Optimal Control Applications & Methods 4 Mathematical Biosciences and Engineering 3 Mathematical Biosciences 3 SIAM Journal on Control and Optimization 3 Mathematical and Computer Modelling 3 Discrete and Continuous Dynamical Systems. Series B 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 2 International Journal of Control 2 Bulletin of Mathematical Biology 2 International Journal of Robust and Nonlinear Control 2 Electronic Journal of Differential Equations (EJDE) 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Communications in Nonlinear Science and Numerical Simulation 2 Nonlinear Analysis. Real World Applications 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Biology 1 Systems & Control Letters 1 Journal of Scientific Computing 1 European Journal of Applied Mathematics 1 Dynamics and Control 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Applied Mathematical Modelling 1 SIAM Journal on Applied Mathematics 1 Journal of Convex Analysis 1 European Journal of Control 1 Mathematical and Computer Modelling of Dynamical Systems 1 Journal of Dynamical and Control Systems 1 International Game Theory Review 1 Stochastics and Dynamics 1 Communications on Pure and Applied Analysis 1 Journal of Biological Dynamics 1 Mathematical Control and Related Fields 1 Journal of Theoretical Biology 1 JP Journal of Applied Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Fields 45 Biology and other natural sciences (92-XX) 37 Calculus of variations and optimal control; optimization (49-XX) 30 Ordinary differential equations (34-XX) 27 Systems theory; control (93-XX) 14 Dynamical systems and ergodic theory (37-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Partial differential equations (35-XX) 4 Operations research, mathematical programming (90-XX) 3 Numerical analysis (65-XX) 2 Probability theory and stochastic processes (60-XX) 2 Fluid mechanics (76-XX) 1 Operator theory (47-XX) 1 Mechanics of particles and systems (70-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 69 Publications have been cited 451 times in 291 Documents Cited by ▼ Year ▼ The chemostat. Mathematical theory of microorganism cultures. Zbl 1384.92001 Harmand, Jérôme; Lobry, Claude; Rapaport, Alain; Sari, Tewfik 48 2017 Parallelotopic and practical observers for nonlinear uncertain systems. Zbl 1048.93012 Rapaport, A.; Gouzé, J. L. 21 2003 Extensions of the chemostat model with flocculation. Zbl 1275.92014 Fekih-Salem, R.; Harmand, J.; Lobry, C.; Rapaport, A.; Sari, T. 19 2013 Minimal time sequential batch reactors with bounded and impulse controls for one or more species. Zbl 1176.49027 Gajardo, P.; Ramírez C., H.; Rapaport, A. 19 2008 How flocculation can explain coexistence in the chemostat. Zbl 1140.92320 Haegeman, B.; Rapaport, A. 16 2008 Turnpike theorems by a value function approach. Zbl 1068.49016 Rapaport, Alain; Cartigny, Pierre 15 2004 Persistence in ecological models of competition for a single resource. Zbl 1073.34054 Lobry, Claude; Mazenc, Frédéric; Rapaport, Alain 14 2005 Robust stabilization of the angular velocity of a rigid body. Zbl 0909.93062 Astolfi, A.; Rapaport, A. 13 1998 On a theorem of Danskin with an application to a theorem of von Neumann-Sion. Zbl 0839.49006 Bernhard, Pierre; Rapaport, Alain 13 1995 A way to model stochastic perturbations in population dynamics models with bounded realizations. Zbl 1485.92080 Caraballo, Tomás; Colucci, Renato; López-de-la-Cruz, Javier; Rapaport, Alain 13 2019 Interval observers for biochemical processes with uncertain kinetics and inputs. Zbl 1062.92034 Rapaport, A.; Dochain, D. 12 2005 Emergence of coexistence and limit cycles in the chemostat model with flocculation for a general class of functional responses. Zbl 1471.92223 Fekih-Salem, R.; Rapaport, Alain; Sari, T. 12 2016 Modeling and analysis of random and stochastic input flows in the chemostat model. Zbl 1421.37036 Caraballo, Tomás; Garrido-Atienza, Maria-José; López-de-la-Cruz, Javier; Rapaport, Alain 11 2019 Optimality of greedy and sustainable policies in the management of renewable resources. Zbl 1073.49018 Rapaport, Alain; Sraidi, S.; Terreaux, J. P. 11 2003 Biological control of the chemostat with nonmonotonic response and different removal rates. Zbl 1230.34043 Rapaport, Alain; Harmand, Jérôme 10 2008 Practical coexistence of two species in the chemostat – a slow-fast characterization. Zbl 1157.92032 El Hajji, Miled; Rapaport, Alain 9 2009 Effects of spatial structure and diffusion on the performances of the chemostat. Zbl 1259.34040 Haidar, Ihab; Rapaport, Alain; Gérard, Frédéric 8 2011 Minimal time control of fed-batch processes with growth functions having several maxima. Zbl 1368.93190 Rapaport, Alain; Dochain, Denis 7 2011 Design of exponential observers for nonlinear systems by embedding. Zbl 1048.93013 Rapaport, A.; Maloum, A. 7 2004 Can protected areas potentially enlarge viability domains for harvesting management? Zbl 1185.91124 Jerry, M.; Rapaport, A.; Cartigny, P. 7 2010 Dynamics of nonautonomous chemostat models. Zbl 1335.92062 Caraballo, Tomás; Han, Xiaoying; Kloeden, Peter E.; Rapaport, Alain 7 2015 A new proof of the competitive exclusion principle in the chemostat. Zbl 1423.34055 Rapaport, Alain; Veruete, Mario 6 2019 Minimal time control of the two tanks gradostat model under a cascade input constraint. Zbl 1306.49002 Bayen, Terence; Rapaport, Alain; Sebbah, Matthieu 6 2014 Competition between most rapid approach paths: necessary and sufficient conditions. Zbl 1064.49025 Rapaport, A.; Cartigny, P. 6 2005 Minimal time bioremediation of natural water resources. Zbl 1227.92046 Gajardo, P.; Harmand, J.; Ramírez C., H.; Rapaport, A. 6 2011 Nonturnpike optimal solutions and their approximations in infinite horizon. Zbl 1129.49036 Rapaport, A.; Cartigny, P. 6 2007 Polytopic Lyapunov functions for persistence analysis of competing species. Zbl 1129.92065 Grognard, Frédéric; Mazenc, Frédéric; Rapaport, Alain 6 2007 Viability analysis for the sustainable management of renewable resources. Zbl 1139.49018 Rapaport, A.; Terreaux, J. P.; Doyen, L. 6 2006 Study of the chemostat model with non-monotonic growth under random disturbances on the removal rate. Zbl 1471.92215 Caraballo, Tomás; Colucci, Renato; López-de-la-Cruz, Javier; Rapaport, Alain 6 2020 Invariance properties of time measurable differential inclusions and dynamic programming. Zbl 0943.34011 Rapaport, A. E.; Vinter, R. B. 5 1996 Characterization of barriers of differential games. Zbl 0907.90296 Rapaport, A. E. 5 1998 Output tracking of continuous bioreactors through recirculation and by-pass. Zbl 1135.93360 Harmand, Jérôme; Rapaport, Alain; Mazenc, Frédéric 5 2006 Optimal control of a crop irrigation model under water scarcity. Zbl 1486.92342 Boumaza, Kenza; Kalboussi, Nesrine; Rapaport, Alain; Roux, Sébastien; Sinfort, Carole 5 2021 About Moreau-Yosida regularization of the minimal time crisis problem. Zbl 1382.49016 Bayen, Terence; Rapaport, Alain 5 2016 Long run coexistence in the chemostat with multiple species. Zbl 1400.92442 Rapaport, Alain; Dochain, Denis; Harmand, Jérôme 5 2009 Dynamical modeling and optimal control of landfills. Zbl 1335.49064 Rapaport, Alain; Bayen, Terence; Sebbah, Matthieu; Donoso-Bravo, Andres; Torrico, Alfredo 5 2016 Coexistence in the design of a series of two chemostats. Zbl 1139.92319 Rapaport, A.; Harmand, J.; Mazenc, F. 5 2008 A robust asymptotic observer for systems that converge to unobservable states – a batch reactor case study. Zbl 07256383 Rapaport, Alain; Dochain, Denis 5 2020 About biomass overyielding of mixed cultures in batch processes. Zbl 1435.92040 Rapaport, A.; Nidelet, T.; El Aida, S.; Harmand, J. 4 2020 Multiple steady state profiles in interconnected biological systems. Zbl 1126.92047 Dramé, A. K.; Harmand, J.; Rapaport, A.; Lobry, C. 4 2006 Study of performance criteria of serial configuration of two chemostats. Zbl 1471.92216 Dali Youcef, Manel; Rapaport, Alain; Sari, Tewfik 4 2020 Min-max certainty equivalence principle and differential games. Zbl 0857.93033 Bernhard, Pierre; Rapaport, Alain 3 1996 Properties of the chemostat model with aggregated biomass. Zbl 1407.92148 Rapaport, Alain 3 2018 Optimal and Sub-optimal feedback controls for biogas production. Zbl 1425.49020 Haddon, Antoine; Ramírez, Héctor; Rapaport, Alain 3 2019 Global dynamics of the buffered chemostat for a general class of response functions. Zbl 1330.92074 Rapaport, Alain; Haidar, Ihab; Harmand, Jérôme 3 2015 Optimal feedback synthesis and minimal time function for the bioremediation of water resources with two patches. Zbl 1343.49057 Ramírez, H.; Rapaport, A.; Riquelme, V. 3 2016 Analysis of an anaerobic digestion model in landfill with mortality term. Zbl 1441.37099 Ouchtout, S.; Mghazli, Z.; Harmand, J.; Rapaport, A.; Belhachmi, Z. 3 2020 Analysis and optimization of the chemostat model with a lateral diffusive compartment. Zbl 1441.34056 Crespo, María; Rapaport, Alain 3 2020 About the minimal time crisis problem. Zbl 1385.49014 Bayen, Terence; Rapaport, Alain 2 2017 Modelling of biological decontamination of a water resource in natural environment and related feedback strategies. Zbl 1352.35106 Barbier, Sébastien; Rapaport, A.; Rousseau, A. 2 2016 Practical \(L_2\) disturbance attenuation for nonlinear systems. Zbl 0996.93065 Rapaport, Alain; Astolfi, Alessandro 2 2002 A remark on the stability of interconnected nonlinear systems. Zbl 1365.93355 Rapaport, A.; Astolfi, A. 2 2004 Multiple stable equilibrium profiles in tubular bioreactors. Zbl 1187.34027 Dramé, A. K.; Lobry, C.; Harmand, J.; Rapaport, A.; Mazenc, F. 2 2008 Shape optimization of spatial chemostat models. Zbl 1418.35347 Crespo, Maria; Ivorra, Benjamin; Ramos, Angel Manuel; Rapaport, Alain 2 2019 An optimal feedback control that minimizes the epidemic peak in the SIR model under a budget constraint. Zbl 1504.92147 Molina, Emilio; Rapaport, Alain 2 2022 Optimal periodic control for scalar dynamics under integral constraint on the input. Zbl 1455.49001 Bayen, Térence; Rapaport, Alain; Tani, Fatima-Zahra 2 2020 Minimal time crisis versus minimum time to reach a viability kernel: a case study in the prey-predator model. Zbl 1458.92060 Bayen, Terence; Rapaport, Alain 2 2019 Optimal time switching control for multi-reaction batch process. Zbl 1204.49037 Mazouni, D.; Harmand, J.; Rapaport, A.; Hammouri, H. 2 2010 Improvement of performances of the chemostat used for continuous biological water treatment with periodic controls. Zbl 1448.92146 Bayen, Térence; Rapaport, Alain; Tani, Fatima Zahra 2 2020 Study of the dynamics of two chemostats connected by Fickian diffusion with bounded random fluctuations. Zbl 1501.34041 Caraballo, Tomás; López-de-la-Cruz, Javier; Rapaport, Alain 2 2022 Modeling and control of in-situ decontamination of large water resources. Zbl 1385.49033 Gajardo, Pedro; Harmand, Jérôme; Ramirez, Héctor; Rapaport, Alain; Riquelme, Victor; Rousseau, Antoine 1 2017 A viability analysis for an explicit inshore-offshore model. Zbl 1277.92028 Jerry, M.; Raissi, N.; Rapaport, A. 1 2011 Optimal control of membrane-filtration systems. Zbl 1482.49044 Kalboussi, Nesrine; Rapaport, Alain; Bayen, Térence; Ben Amar, Nihel; Ellouze, Fatma; Harmand, Jérome 1 2019 Penalty function method for the minimal time crisis problem. Zbl 07751742 Boumaza, Kenza; Bayen, Térence; Rapaport, Alain 1 2021 Corrigendum to: “A way to model stochastic perturbations in population dynamics models with bounded realizations”. Zbl 1508.92198 Caraballo, Tomás; Colucci, Renato; López-de-la-Cruz, Javier; Rapaport, Alain 1 2021 Stability analysis of an ecological model. Zbl 1110.92052 Mazenc, F.; Lobry, C.; Rapaport, A. 1 2006 Théorème de l’autoroute et équation d’Hamilton–Jacobi. (Turnpike theorem and the Hamilton–Jacobi equation). Zbl 1016.49026 Rapaport, Alain; Cartigny, Pierre 1 2002 Performance study of two serial interconnected chemostats with mortality. Zbl 1498.92123 Dali-Youcef, Manel; Rapaport, Alain; Sari, Tewfik 1 2022 Necessary optimality condition for the minimal time crisis relaxing transverse condition via regularization. Zbl 1494.49011 Bayen, Térence; Boumaza, Kenza; Rapaport, Alain 1 2021 An optimal feedback control that minimizes the epidemic peak in the SIR model under a budget constraint. Zbl 1504.92147 Molina, Emilio; Rapaport, Alain 2 2022 Study of the dynamics of two chemostats connected by Fickian diffusion with bounded random fluctuations. Zbl 1501.34041 Caraballo, Tomás; López-de-la-Cruz, Javier; Rapaport, Alain 2 2022 Performance study of two serial interconnected chemostats with mortality. Zbl 1498.92123 Dali-Youcef, Manel; Rapaport, Alain; Sari, Tewfik 1 2022 Optimal control of a crop irrigation model under water scarcity. Zbl 1486.92342 Boumaza, Kenza; Kalboussi, Nesrine; Rapaport, Alain; Roux, Sébastien; Sinfort, Carole 5 2021 Penalty function method for the minimal time crisis problem. Zbl 07751742 Boumaza, Kenza; Bayen, Térence; Rapaport, Alain 1 2021 Corrigendum to: “A way to model stochastic perturbations in population dynamics models with bounded realizations”. Zbl 1508.92198 Caraballo, Tomás; Colucci, Renato; López-de-la-Cruz, Javier; Rapaport, Alain 1 2021 Necessary optimality condition for the minimal time crisis relaxing transverse condition via regularization. Zbl 1494.49011 Bayen, Térence; Boumaza, Kenza; Rapaport, Alain 1 2021 Study of the chemostat model with non-monotonic growth under random disturbances on the removal rate. Zbl 1471.92215 Caraballo, Tomás; Colucci, Renato; López-de-la-Cruz, Javier; Rapaport, Alain 6 2020 A robust asymptotic observer for systems that converge to unobservable states – a batch reactor case study. Zbl 07256383 Rapaport, Alain; Dochain, Denis 5 2020 About biomass overyielding of mixed cultures in batch processes. Zbl 1435.92040 Rapaport, A.; Nidelet, T.; El Aida, S.; Harmand, J. 4 2020 Study of performance criteria of serial configuration of two chemostats. Zbl 1471.92216 Dali Youcef, Manel; Rapaport, Alain; Sari, Tewfik 4 2020 Analysis of an anaerobic digestion model in landfill with mortality term. Zbl 1441.37099 Ouchtout, S.; Mghazli, Z.; Harmand, J.; Rapaport, A.; Belhachmi, Z. 3 2020 Analysis and optimization of the chemostat model with a lateral diffusive compartment. Zbl 1441.34056 Crespo, María; Rapaport, Alain 3 2020 Optimal periodic control for scalar dynamics under integral constraint on the input. Zbl 1455.49001 Bayen, Térence; Rapaport, Alain; Tani, Fatima-Zahra 2 2020 Improvement of performances of the chemostat used for continuous biological water treatment with periodic controls. Zbl 1448.92146 Bayen, Térence; Rapaport, Alain; Tani, Fatima Zahra 2 2020 A way to model stochastic perturbations in population dynamics models with bounded realizations. Zbl 1485.92080 Caraballo, Tomás; Colucci, Renato; López-de-la-Cruz, Javier; Rapaport, Alain 13 2019 Modeling and analysis of random and stochastic input flows in the chemostat model. Zbl 1421.37036 Caraballo, Tomás; Garrido-Atienza, Maria-José; López-de-la-Cruz, Javier; Rapaport, Alain 11 2019 A new proof of the competitive exclusion principle in the chemostat. Zbl 1423.34055 Rapaport, Alain; Veruete, Mario 6 2019 Optimal and Sub-optimal feedback controls for biogas production. Zbl 1425.49020 Haddon, Antoine; Ramírez, Héctor; Rapaport, Alain 3 2019 Shape optimization of spatial chemostat models. Zbl 1418.35347 Crespo, Maria; Ivorra, Benjamin; Ramos, Angel Manuel; Rapaport, Alain 2 2019 Minimal time crisis versus minimum time to reach a viability kernel: a case study in the prey-predator model. Zbl 1458.92060 Bayen, Terence; Rapaport, Alain 2 2019 Optimal control of membrane-filtration systems. Zbl 1482.49044 Kalboussi, Nesrine; Rapaport, Alain; Bayen, Térence; Ben Amar, Nihel; Ellouze, Fatma; Harmand, Jérome 1 2019 Properties of the chemostat model with aggregated biomass. Zbl 1407.92148 Rapaport, Alain 3 2018 The chemostat. Mathematical theory of microorganism cultures. Zbl 1384.92001 Harmand, Jérôme; Lobry, Claude; Rapaport, Alain; Sari, Tewfik 48 2017 About the minimal time crisis problem. Zbl 1385.49014 Bayen, Terence; Rapaport, Alain 2 2017 Modeling and control of in-situ decontamination of large water resources. Zbl 1385.49033 Gajardo, Pedro; Harmand, Jérôme; Ramirez, Héctor; Rapaport, Alain; Riquelme, Victor; Rousseau, Antoine 1 2017 Emergence of coexistence and limit cycles in the chemostat model with flocculation for a general class of functional responses. Zbl 1471.92223 Fekih-Salem, R.; Rapaport, Alain; Sari, T. 12 2016 About Moreau-Yosida regularization of the minimal time crisis problem. Zbl 1382.49016 Bayen, Terence; Rapaport, Alain 5 2016 Dynamical modeling and optimal control of landfills. Zbl 1335.49064 Rapaport, Alain; Bayen, Terence; Sebbah, Matthieu; Donoso-Bravo, Andres; Torrico, Alfredo 5 2016 Optimal feedback synthesis and minimal time function for the bioremediation of water resources with two patches. Zbl 1343.49057 Ramírez, H.; Rapaport, A.; Riquelme, V. 3 2016 Modelling of biological decontamination of a water resource in natural environment and related feedback strategies. Zbl 1352.35106 Barbier, Sébastien; Rapaport, A.; Rousseau, A. 2 2016 Dynamics of nonautonomous chemostat models. Zbl 1335.92062 Caraballo, Tomás; Han, Xiaoying; Kloeden, Peter E.; Rapaport, Alain 7 2015 Global dynamics of the buffered chemostat for a general class of response functions. Zbl 1330.92074 Rapaport, Alain; Haidar, Ihab; Harmand, Jérôme 3 2015 Minimal time control of the two tanks gradostat model under a cascade input constraint. Zbl 1306.49002 Bayen, Terence; Rapaport, Alain; Sebbah, Matthieu 6 2014 Extensions of the chemostat model with flocculation. Zbl 1275.92014 Fekih-Salem, R.; Harmand, J.; Lobry, C.; Rapaport, A.; Sari, T. 19 2013 Effects of spatial structure and diffusion on the performances of the chemostat. Zbl 1259.34040 Haidar, Ihab; Rapaport, Alain; Gérard, Frédéric 8 2011 Minimal time control of fed-batch processes with growth functions having several maxima. Zbl 1368.93190 Rapaport, Alain; Dochain, Denis 7 2011 Minimal time bioremediation of natural water resources. Zbl 1227.92046 Gajardo, P.; Harmand, J.; Ramírez C., H.; Rapaport, A. 6 2011 A viability analysis for an explicit inshore-offshore model. Zbl 1277.92028 Jerry, M.; Raissi, N.; Rapaport, A. 1 2011 Can protected areas potentially enlarge viability domains for harvesting management? Zbl 1185.91124 Jerry, M.; Rapaport, A.; Cartigny, P. 7 2010 Optimal time switching control for multi-reaction batch process. Zbl 1204.49037 Mazouni, D.; Harmand, J.; Rapaport, A.; Hammouri, H. 2 2010 Practical coexistence of two species in the chemostat – a slow-fast characterization. Zbl 1157.92032 El Hajji, Miled; Rapaport, Alain 9 2009 Long run coexistence in the chemostat with multiple species. Zbl 1400.92442 Rapaport, Alain; Dochain, Denis; Harmand, Jérôme 5 2009 Minimal time sequential batch reactors with bounded and impulse controls for one or more species. Zbl 1176.49027 Gajardo, P.; Ramírez C., H.; Rapaport, A. 19 2008 How flocculation can explain coexistence in the chemostat. Zbl 1140.92320 Haegeman, B.; Rapaport, A. 16 2008 Biological control of the chemostat with nonmonotonic response and different removal rates. Zbl 1230.34043 Rapaport, Alain; Harmand, Jérôme 10 2008 Coexistence in the design of a series of two chemostats. Zbl 1139.92319 Rapaport, A.; Harmand, J.; Mazenc, F. 5 2008 Multiple stable equilibrium profiles in tubular bioreactors. Zbl 1187.34027 Dramé, A. K.; Lobry, C.; Harmand, J.; Rapaport, A.; Mazenc, F. 2 2008 Nonturnpike optimal solutions and their approximations in infinite horizon. Zbl 1129.49036 Rapaport, A.; Cartigny, P. 6 2007 Polytopic Lyapunov functions for persistence analysis of competing species. Zbl 1129.92065 Grognard, Frédéric; Mazenc, Frédéric; Rapaport, Alain 6 2007 Viability analysis for the sustainable management of renewable resources. Zbl 1139.49018 Rapaport, A.; Terreaux, J. P.; Doyen, L. 6 2006 Output tracking of continuous bioreactors through recirculation and by-pass. Zbl 1135.93360 Harmand, Jérôme; Rapaport, Alain; Mazenc, Frédéric 5 2006 Multiple steady state profiles in interconnected biological systems. Zbl 1126.92047 Dramé, A. K.; Harmand, J.; Rapaport, A.; Lobry, C. 4 2006 Stability analysis of an ecological model. Zbl 1110.92052 Mazenc, F.; Lobry, C.; Rapaport, A. 1 2006 Persistence in ecological models of competition for a single resource. Zbl 1073.34054 Lobry, Claude; Mazenc, Frédéric; Rapaport, Alain 14 2005 Interval observers for biochemical processes with uncertain kinetics and inputs. Zbl 1062.92034 Rapaport, A.; Dochain, D. 12 2005 Competition between most rapid approach paths: necessary and sufficient conditions. Zbl 1064.49025 Rapaport, A.; Cartigny, P. 6 2005 Turnpike theorems by a value function approach. Zbl 1068.49016 Rapaport, Alain; Cartigny, Pierre 15 2004 Design of exponential observers for nonlinear systems by embedding. Zbl 1048.93013 Rapaport, A.; Maloum, A. 7 2004 A remark on the stability of interconnected nonlinear systems. Zbl 1365.93355 Rapaport, A.; Astolfi, A. 2 2004 Parallelotopic and practical observers for nonlinear uncertain systems. Zbl 1048.93012 Rapaport, A.; Gouzé, J. L. 21 2003 Optimality of greedy and sustainable policies in the management of renewable resources. Zbl 1073.49018 Rapaport, Alain; Sraidi, S.; Terreaux, J. P. 11 2003 Practical \(L_2\) disturbance attenuation for nonlinear systems. Zbl 0996.93065 Rapaport, Alain; Astolfi, Alessandro 2 2002 Théorème de l’autoroute et équation d’Hamilton–Jacobi. (Turnpike theorem and the Hamilton–Jacobi equation). Zbl 1016.49026 Rapaport, Alain; Cartigny, Pierre 1 2002 Robust stabilization of the angular velocity of a rigid body. Zbl 0909.93062 Astolfi, A.; Rapaport, A. 13 1998 Characterization of barriers of differential games. Zbl 0907.90296 Rapaport, A. E. 5 1998 Invariance properties of time measurable differential inclusions and dynamic programming. Zbl 0943.34011 Rapaport, A. E.; Vinter, R. B. 5 1996 Min-max certainty equivalence principle and differential games. Zbl 0857.93033 Bernhard, Pierre; Rapaport, Alain 3 1996 On a theorem of Danskin with an application to a theorem of von Neumann-Sion. Zbl 0839.49006 Bernhard, Pierre; Rapaport, Alain 13 1995 all cited Publications top 5 cited Publications all top 5 Cited by 432 Authors 41 Rapaport, Alain 18 Bayen, Térence 17 Sari, Tewfik 10 Fekih-Salem, Radhouane 10 Gajardo, Pedro 10 Harmand, Jérôme 9 Mairet, Francis 8 Astolfi, Alessandro 7 Zuazua, Enrique 6 Abdellatif, Nahla 6 Caraballo Garrido, Tomás 6 López-de-la-Cruz, Javier 6 Mazenc, Frédéric 6 Piazza, Adriana 6 Ramírez, Héctor C. 6 Trélat, Emmanuel 5 Bernard, Olivier 5 Jiang, Daqing 5 Rampazzo, Franco 5 Zaslavski, Alexander Yakovlevich 4 Bernhard, Pierre 4 Dellal, Mohamed 4 Dochain, Denis 4 Eberl, Hermann J. 4 Li, Zuxiong 4 Lobry, Claude 4 Motta, Monica 4 Mu, Yu 4 Ortega, Romeo S. 4 Robledo, Gonzalo 4 Wang, Ke 4 Zou, Xiaoling 3 Aronna, María Soledad 3 Bar, Bachir 3 Barbot, Jean-Pierre 3 Benabdallah, Amel 3 Colucci, Renato 3 Crespo, María 3 Dali Youcef, Manel 3 de Lara, Michel 3 El Hajji, Miled 3 Gao, Miaomiao 3 Haddon, Antoine 3 Han, Xiaoying 3 Hermosilla, Cristopher 3 Iggidr, Abderrahman 3 Karafyllis, Iasson 3 Kravaris, Costas 3 Kunisch, Karl 3 Lakrib, Mustapha 3 Martalò, Giorgio 3 Moisan, Marcelo 3 Ramírez C., Héctor 3 Riquelme, Victor 3 Sebbah, Matthieu 3 Wang, Hailing 2 Ait Rami, Mustapha 2 Barton, Paul I. 2 Belhachmi, Zakaria 2 Bianchi, Cesidio 2 Bobtsov, Alexey A. 2 Bonnans, Joseph Frédéric 2 Borsali, Fethi 2 Boutat, Driss 2 Brdys, Mietek A. 2 Brivadis, Lucas 2 Buonomo, Bruno 2 Cartigny, Pierre 2 Chiappini, Massimo 2 Colaneri, Patrizio 2 Cortés López, Juan Carlos 2 Cots, Olivier 2 Coville, Jerome 2 de Pinho, Maria do Rosário 2 Efimov, Denis V. 2 El Khattabi, Noha 2 Gaggero, Mauro 2 Gauthier, Jean-Paul A. 2 Gnecco, Giorgio 2 Gouzé, Jean-Luc 2 Grognard, Frédéric 2 Guilmeau, Thomas 2 Guiro, Aboudramane 2 Ivorra, Benjamin 2 Łangowski, Rafał 2 Lemos-Paião, Ana P. 2 Lopes, Sofia O. 2 Lunz, Davin 2 Lv, Yunfei 2 Madec, Sten 2 Malisoff, Michael 2 Mazade, Marc 2 Mghazli, Zoubida 2 Mtar, Tahani 2 Nouaoura, Sarra 2 Ouchtout, Salih 2 Pagnoncelli, Bernardo K. 2 Pei, Yongzhen 2 Pfeiffer, Laurent 2 Piccoli, Benedetto ...and 332 more Authors all top 5 Cited in 102 Serials 17 Automatica 17 Systems & Control Letters 14 Discrete and Continuous Dynamical Systems. Series B 11 International Journal of Control 11 Journal of Optimization Theory and Applications 8 Applied Mathematical Modelling 8 Communications in Nonlinear Science and Numerical Simulation 7 Journal of Mathematical Biology 7 Mathematical Biosciences 7 Applied Mathematics Letters 7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Mathematical Methods in the Applied Sciences 5 European Journal of Control 5 Nonlinear Analysis. Real World Applications 4 Applied Mathematics and Optimization 4 Journal of Differential Equations 4 SIAM Journal on Control and Optimization 4 Mathematical and Computer Modelling 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 Stochastics and Dynamics 4 Mathematical Biosciences and Engineering 3 Journal of the Franklin Institute 3 Bulletin of Mathematical Biology 3 Applied Mathematics and Computation 3 Mathematics and Computers in Simulation 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Optimal Control Applications & Methods 3 MCSS. Mathematics of Control, Signals, and Systems 3 International Journal of Robust and Nonlinear Control 3 Computational and Applied Mathematics 3 Advances in Difference Equations 3 Journal of Biological Dynamics 3 Discrete and Continuous Dynamical Systems. Series S 3 International Journal of Biomathematics 3 Mathematical Control and Related Fields 3 Journal of Theoretical Biology 2 Journal of Mathematical Analysis and Applications 2 Numerische Mathematik 2 Acta Applicandae Mathematicae 2 European Journal of Applied Mathematics 2 Annals of Operations Research 2 SIAM Journal on Applied Mathematics 2 Calculus of Variations and Partial Differential Equations 2 Nonlinear Dynamics 2 Mathematical and Computer Modelling of Dynamical Systems 2 International Journal of Applied Mathematics and Computer Science 2 International Game Theory Review 2 Communications on Pure and Applied Analysis 2 SIAM Journal on Applied Dynamical Systems 2 Proceedings of the Steklov Institute of Mathematics 2 Nonlinear Analysis. Hybrid Systems 2 Set-Valued and Variational Analysis 2 Asian Journal of Control 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Nonlinearity 1 Chaos, Solitons and Fractals 1 Prikladnaya Matematika i Mekhanika 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Journal of Computational and Applied Mathematics 1 Journal of Economic Theory 1 Kybernetika 1 Operations Research 1 Theoretical Computer Science 1 Theoretical Population Biology 1 Stochastic Analysis and Applications 1 Bulletin of the Iranian Mathematical Society 1 Physica D 1 Journal of Economics 1 Journal of Scientific Computing 1 International Journal of Adaptive Control and Signal Processing 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Journal of Dynamics and Differential Equations 1 SIAM Journal on Optimization 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Computational Optimization and Applications 1 Set-Valued Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 Economic Theory 1 Journal of Convex Analysis 1 Discrete and Continuous Dynamical Systems 1 Mathematical Methods of Operations Research 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Regular and Chaotic Dynamics 1 Journal of Dynamical and Control Systems 1 Journal of Biological Systems 1 The ANZIAM Journal 1 Journal of Systems Science and Complexity 1 Journal of Applied Mathematics 1 Nonlinear Dynamics and Systems Theory 1 Acta Numerica 1 Journal of Industrial and Management Optimization 1 Communications in Mathematical Analysis 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Dynamic Games and Applications 1 S\(\vec{\text{e}}\)MA Journal 1 Evolution Equations and Control Theory 1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions 1 International Journal of Applied and Computational Mathematics 1 International Journal of Systems Science. Principles and Applications of Systems and Integration ...and 2 more Serials all top 5 Cited in 29 Fields 137 Biology and other natural sciences (92-XX) 104 Systems theory; control (93-XX) 88 Ordinary differential equations (34-XX) 87 Calculus of variations and optimal control; optimization (49-XX) 24 Partial differential equations (35-XX) 24 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 23 Probability theory and stochastic processes (60-XX) 20 Operations research, mathematical programming (90-XX) 19 Dynamical systems and ergodic theory (37-XX) 17 Numerical analysis (65-XX) 8 Mechanics of particles and systems (70-XX) 3 Operator theory (47-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Fluid mechanics (76-XX) 2 Special functions (33-XX) 2 Difference and functional equations (39-XX) 2 Functional analysis (46-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Algebraic topology (55-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) Citations by Year