Alain Rapaport

Orcid: 0000-0002-8515-0838

According to our database1, Alain Rapaport authored at least 57 papers between 1999 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
$\mathbb {L^\infty }$/$\mathbb {L}^{1}$ Duality Results in Optimal Control Problems.
IEEE Trans. Autom. Control., October, 2024

Multiplicity of Neutrally Stable Periodic Orbits with Coexistence in the Chemostat Subject to Periodic Removal Rate.
SIAM J. Appl. Math., February, 2024

Comparison of solutions for non-monotone dynamical systems.
Syst. Control. Lett., 2024

Minimal Water Consumption for a Crop Fertirrigation Model.
Proceedings of the European Control Conference, 2024

Adaptive Optimal Control of Membrane Processes to Minimize Fouling.
Proceedings of the European Control Conference, 2024

2023
An Adaptive Observer for Time-Varying Nonlinear Systems - Application to a Crop Irrigation Model.
Proceedings of the 62nd IEEE Conference on Decision and Control, 2023

2022
Convex Optimization of Bioprocesses.
IEEE Trans. Autom. Control., 2022

A Multiobservers Approach for a Class of Bidimensional Nonuniformly Observable Systems.
IEEE Trans. Autom. Control., 2022

Equivalent Formulations of Optimal Control Problems with Maximum Cost and Applications.
J. Optim. Theory Appl., 2022

Singular Arcs in Optimal Periodic Controls for Scalar Dynamics and Integral Input Constraint.
J. Optim. Theory Appl., 2022

An optimal feedback control that minimizes the epidemic peak in the SIR model under a budget constraint.
Autom., 2022

2021
Corrigendum to the paper: A way to model stochastic perturbations in population dynamics models with bounded realizations. Commun Nonlinear Sci Numer Simulat, 77 (2019), 239-257.
Commun. Nonlinear Sci. Numer. Simul., 2021

Second-order cone optimization of the gradostat.
Comput. Chem. Eng., 2021

Illustration of the application of the multi-observers approach.
Proceedings of the 9th International Conference on Systems and Control, 2021

2020
Antiwindup Input-Output Linearization Strategy for the Control of a Multistage Continuous Fermenter With Input Constraints.
IEEE Trans. Control. Syst. Technol., 2020

A Robust Asymptotic Observer for Systems That Converge to Unobservable States - A Batch Reactor Case Study.
IEEE Trans. Autom. Control., 2020

A Note on "Optimal and Sub-Optimal Feedback Controls for Biogas Production".
J. Optim. Theory Appl., 2020

Analysis and Optimization of the Chemostat Model with a Lateral Diffusive Compartment.
J. Optim. Theory Appl., 2020

Improvement of performances of the chemostat used for continuous biological water treatment with periodic controls.
Autom., 2020

Modeling and optimal control for production-regeneration systems - preliminary results -.
Proceedings of the 18th European Control Conference, 2020

2019
Optimal Control of Membrane-Filtration Systems.
IEEE Trans. Autom. Control., 2019

Optimal and Sub-optimal Feedback Controls for Biogas Production.
J. Optim. Theory Appl., 2019

A way to model stochastic perturbations in population dynamics models with bounded realizations.
Commun. Nonlinear Sci. Numer. Simul., 2019

Controlling recirculation rate for minimal-time bioremediation of natural water resources.
Autom., 2019

Periodic controls for discriminating density dependent growth in the chemostat.
Proceedings of the 58th IEEE Conference on Decision and Control, 2019

A hybrid control against species invasion in the chemostat.
Proceedings of the 58th IEEE Conference on Decision and Control, 2019

Productivity analysis and non-linear gain scheduling approach for multi-species bioprocesses with product inhibition.
Proceedings of the 58th IEEE Conference on Decision and Control, 2019

A multi observers approach when observability index is higher than the state dimension - a case study -.
Proceedings of the 58th IEEE Conference on Decision and Control, 2019

2017
Equivalence of Finite Dimensional Input-Output Models of Solute Transport and Diffusion in Geosciences.
IEEE Trans. Autom. Control., 2017

Observability singularity of batch bioreactors: A solution based on high order sliding mode differentiator approach.
Proceedings of the 11th Asian Control Conference, 2017

2016
Optimal Feedback Synthesis and Minimal Time Function for the Bioremediation of Water Resources with Two Patches.
SIAM J. Control. Optim., 2016

Modelling of Biological Decontamination of a Water Resource in Natural Environment and Related Feedback Strategies.
J. Sci. Comput., 2016

2014
Minimal Time Control of the Two Tanks Gradostat Model Under a Cascade Input Constraint.
SIAM J. Control. Optim., 2014

Optimality of affine control system of several species in competition on a sequential batch reactor.
Int. J. Control, 2014

Minimal time control of the two tanks gradostat model under a cascade inputs constraint.
Proceedings of the 13th European Control Conference, 2014

2013
Extremum Seeking Via Continuation Techniques for Optimizing Biogas Production in the Chemostat.
Proceedings of the 9th IFAC Symposium on Nonlinear Control Systems, 2013

The Buffered Chemostat with Non-Monotonic Response Functions.
Proceedings of the 9th IFAC Symposium on Nonlinear Control Systems, 2013

2011
Minimal Time Control of Fed-Batch Processes With Growth Functions Having Several Maxima.
IEEE Trans. Autom. Control., 2011

Minimal time bioremediation of natural water resources.
Autom., 2011

2009
Optimal control of renewable resources with alternative use.
Math. Comput. Model., 2009

2008
Minimal Time Sequential Batch Reactors with Bounded and Impulse Controls for One or More Species.
SIAM J. Control. Optim., 2008

Multiple stable equilibrium profiles in tubular bioreactors.
Math. Comput. Model., 2008

Practical coexistence in the chemostat with arbitrarily close growth functions.
ARIMA J., 2008

2007
Design of Continuous Bioprocesses and Biodiversity.
Proceedings of the American Control Conference, 2007

About minimal time impulsive control of sequential batch reactors with several species.
Proceedings of the American Control Conference, 2007

2006
Viability analysis for the sustainable management of renewable resources.
Math. Comput. Model., 2006

Output tracking of continuous bioreactors through recirculation and by-pass.
Autom., 2006

Stability Analysis of an Ecological Model.
Proceedings of the Positive Systems, 2006

2005
Characterization and Approximation of Value Functions of differential Games with Maximum Cost in Infinite horizon.
IGTR, 2005

Polytopic Lyapunov functions for the stability analysis of persistence of competing species.
Proceedings of the 44th IEEE IEEE Conference on Decision and Control and 8th European Control Conference Control, 2005

2004
A remark on the stability of interconnected nonlinear systems.
IEEE Trans. Autom. Control., 2004

2003
Turnpike theorems by a value function approach.
Proceedings of the 7th European Control Conference, 2003

2002
Discussion on: 'Stabilization and Disturbance Attenuation of Nonlinear Systems Using Dissipativity Theory' by A. Astolfi, R. Ortega and R. Sepulchre.
Eur. J. Control, 2002

Practical L<sub>2</sub> disturbance attenuation for nonlinear systems.
Autom., 2002

2000
Embedding for exponential observers of nonlinear systems.
Proceedings of the 39th IEEE Conference on Decision and Control, 2000

Robust interval-based SISO and SIMO regulation for a class of highly uncertain bioreactors: application to the anaerobic digestion.
Proceedings of the 39th IEEE Conference on Decision and Control, 2000

1999
Practical observers for uncertain affine output injection systems.
Proceedings of the 5th European Control Conference, 1999


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