22 citations · 87 across the 11 of their papers we have counts for
13 papers
New results on biorthogonal families in cylindrical domains and controllability consequences
F. Ammar Khodja, A. Benabdallah, M. González-Burgos +2
In this article we consider moment problems equivalent to null controllability of some linear parabolic partial differential equations in space dimension higher than one. For these…
Quantitative Fattorini-Hautus test and minimal null control time for parabolic problems
F. Ammar Khodja, A. Benabdallah, M. González-Burgos +1
This paper investigates the link between the null controllability property for some abstract parabolic problems and an inequality that can be seen as a quantified Fattorini-Hautus…
Minimal time for the continuity equation controlled by a localized perturbation of the velocity 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…
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…
Application of the boundary control method to partial data Borg-Levinson inverse spectral problem
Yavar Kian, Morgan Morancey, Lauri Oksanen
We consider the multidimensional Borg-Levinson problem of determining a potential , appearing in the Dirichlet realization of the Schrödinger operator on a bounded do…
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…
Rapid Stabilization of a Linearized Bilinear Schrödinger Equation
Jean-Michel Coron, Ludovick Gagnon, Morgan Morancey
We consider the one dimensional Schrödinger equation with a bilinear control and prove the rapid stabilization of the linearized equation around the ground state. The feedback law…
Simultaneous global exact controllability of an arbitrary number of 1D bilinear Schrödinger equations
Morgan Morancey, Vahagn Nersesyan
We consider a system of an arbitrary number of \textsc{1d} linear Schrödinger equations on a bounded interval with bilinear control. We prove global exact controllability in large…
Approximate controllability for a 2D Grushin equation with potential having an internal singularity
Morgan Morancey
This paper is dedicated to approximate controllability for Grushin equation on the rectangle with an inverse square potential. This model correspond…
Simultaneous local exact controllability of 1D bilinear Schrödinger equations
Morgan Morancey
We consider N independent quantum particles, in an infinite square potential well coupled to an external laser field. These particles are modelled by a system of linear Schrödinger…
Local controllability of 1D Schrödinger equations with bilinear control and minimal time
Karine Beauchard, Morgan Morancey
We consider a linear Schrödinger equation, on a bounded interval, with bilinear control. Beauchard and Laurent proved that, under an appropriate non degeneracy assumption, this sys…
Explicit approximate controllability of the Schrödinger equation with a polarizability term
Morgan Morancey
We consider a controlled Schrödinger equation with a dipolar and a polarizability term, used when the dipolar approximation is not valid. The control is the amplitude of the extern…