31 citations · 61 across the 18 of their papers we have counts for
24 papers
A way to model stochastic perturbations in population dynamics models with bounded realizations
Tomás Caraballo, Renato Colucci, Javier López-de-la-Cruz +1
In this paper, we analyze the use of the Ornstein-Uhlenbeck process to model dynamical systems subjected to bounded noisy perturbations. In order to discuss the main characteristic…
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…
Identifiability and observability of the SIR model with quarantine
Frédéric Hamelin, Abderrahman Iggidr, Alain Rapaport +2
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…
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…
Observability, Identifiability and Epidemiology -- A survey
Nik Cunniffe, Frédéric Hamelin, Abderrahman Iggidr +2
In this review, we recall the concepts of Identifiability and Observability of dynamical systems, and analyse them in the framework of Mathematical Epidemiology. We show that, even…