31 citations · 61 across the 18 of their papers we have counts for
12 papers · 1 filter
Optimal synthesis for a class of L optimal control problems in the plane with L 1 constraint on the input
Emilio Molina, Alain Rapaport
For a particular class of planar dynamics that are linear with respect to the control variable, we show that the feedback strategy ''null-singular null'' is minimizing the maximum…
Equivalent formulations of optimal control problems with maximum cost and applications
Emilio Molina, Alain Rapaport, Hector Ramirez
We revisit the optimal control problem with maximum cost with the objective to provide different equivalent reformulations suitable to numerical methods. We propose two reformulati…
Second-order cone optimization of the gradostat
Josh Taylor, Alain Rapaport
We maximize the production of biogas in a gradostat at steady state. The physical decision variables are the water, substrate, and biomass entering each tank and the flows through…
Optimal and Sub-optimal Feedback Controls for Biogas Production
Antoine Haddon, Hector Ramirez, Alain Rapaport
We revisit the optimal control problem of maximizing biogas production in continuous bio-processes in two directions: 1. over an infinite horizon, 2. with sub-optimal controllers i…
Optimal control of membrane filtration systems
Nesrine Kalboussi, Alain Rapaport, Térence Bayen +3
This paper studies an optimal control problem related to membrane filtration processes. A simple mathematical model of membrane fouling is used to capture the dynamic behavior of t…
Equivalence of finite dimensional input-output models of solute transport and diffusion in geosciences
Alain Rapaport, Alejandro Rojas-Palma, Jean-Raynald De Dreuzy +1
We show that for a large class of finite dimensional input-output positive systems that represent networks of transport and diffusion of solute in geological media, there exist equ…