Zobrazeno 1 - 10
of 643
pro vyhledávání: '"RAPAPORT, ALAIN"'
In this note, we propose a novel approach for a class of autonomous dynamical systems that allows, given some observations of the solutions, to identify its parameters and reconstruct the state vector. This approach relies on proving the linear indep
Externí odkaz:
http://arxiv.org/abs/2408.11482
Autor:
Goreac, Dan, Rapaport, Alain
We provide a duality result linking the value function for a control problem with supremum cost H under an isoperimetric inequality G $\le$ gmax, and the value function for the same controlled dynamics with cost G and state constraint H $\le$ hmax. T
Externí odkaz:
http://arxiv.org/abs/2305.02585
Autor:
Molina, Emilio, Rapaport, Alain
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 of a coordinate over infinite horizon, under a L 1 budget constraint o
Externí odkaz:
http://arxiv.org/abs/2302.02658
Autor:
Rapaport, Alain, Mimouni, Ismail
Publikováno v:
Bulletin of Mathematical Biology, In press
We consider a two-patches SIR model where communication occurs thru commuters, distinguishing explicitly permanently resident populations from commuters populations. We give an explicit formula of the reproduction number, and show how the proportions
Externí odkaz:
http://arxiv.org/abs/2211.16137
Autor:
Molina, Emilio, Rapaport, Alain
We give the explicit solution of the optimal control problem which consists in minimizing the epidemic peak in the SIR model when the control is an attenuation factor of the infectious rate, subject to a L 1 budget constraint. The optimal strategy is
Externí odkaz:
http://arxiv.org/abs/2203.05800
We revisit the optimal control problem with maximum cost with the objective to provide different equivalent reformulations suitable to numerical methods. We propose two reformulations in terms of extended Mayer problems with constraint, and another o
Externí odkaz:
http://arxiv.org/abs/2202.12545
Publikováno v:
In Systems & Control Letters September 2024 191
We optimize a general model of bioprocesses, which is nonconvex due to the microbial growth in the biochemical reactors. We formulate a convex relaxation and give conditions guaranteeing its exactness in both the transient and steady state cases. Whe
Externí odkaz:
http://arxiv.org/abs/2107.01843
We analyze the identifiability and observability of the well-known SIR epidemic model with an additional compartment Q of the sub-population of infected individuals that are placed in quarantine (SIQR model), considering that the flow of individuals
Externí odkaz:
http://arxiv.org/abs/2103.04614
Autor:
Taylor, Josh, Rapaport, Alain
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 the interconnecting pipes. Our main technical focus is the nonconvex c
Externí odkaz:
http://arxiv.org/abs/2102.01975