54 citations · 214 across the 28 of their papers we have counts for
9 papers · 1 filter
Approximate and exact controllability of the continuity equation with a localized vector field
Michel Duprez, Morgan Morancey, Francesco Rossi
We study the controllability of a Partial Differential Equation of transport type, that arises in crowd models. We are interested in controlling it with a control being a vector fi…
Minimal time problem for discrete crowd models with a localized vector field
Michel Duprez, Morgan Morancey, Francesco Rossi
In this work, we study the minimal time to steer a given crowd to a desired configuration. The control is a vector field, representing a perturbation of the crowd velocity, localiz…
Controllability and optimal control of the transport equation with a localized vector field
Michel Duprez, Morgan Morancey, Francesco Rossi
We study controllability of a Partial Differential Equation of transport type, that arises in crowd models. We are interested in controlling such system with a control being a Lips…
Compact perturbations of controlled systems
Michel Duprez, Guillaume Olive
In this article we study the controllability properties of general compactly perturbed exactly controlled linear systems with admissible control operators. Firstly, we show that ap…
Indirect controllability of some linear parabolic systems of m equations with m-1 controls involving coupling terms of zero or first order
Michel Duprez, Pierre Lissy
This paper is devoted to the study of the null and approximate controllability for some classes of linear coupled parabolic systems with less controls than equations. More precisel…
Partial null controllability of parabolic linear systems
Farid Ammar Khodja, Franz Chouly, Michel Duprez
This paper is devoted to the partial null controllability issue of parabolic linear systems with n equations. Given a bounded domain in R N, we study the effect of m localized cont…
Positive and negative results on the internal controllability of parabolic equations coupled by zero and first order terms
Michel Duprez, Pierre Lissy
This paper is devoted to studying the null and approximate controllability of two linear coupled parabolic equations posed on a smooth domain of R^N (N>1) with coupling terms of ze…
Controllability of a 2x2 parabolic system by one force with a space-dependent coupling term of order one
Michel Duprez
This paper is devoted to the controllability of linear systems of two coupled parabolic equations when the coupling involves a space dependent first order term. This system is set…
Criterion of positivity for semilinear problems with applications in biology
Michel Duprez, Antoine Perasso
The goal of this article is to provide an useful criterion of positivity and well-posedness for a wide range of infinite dimensional semilinear abstract Cauchy problems. This crite…