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19992021
most citedInternal controllability of the Korteweg-de Vries equation on a bounded domain

30 citations · 115 across the 24 of their papers we have counts for

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9 papers · 1 filter

math.OC2021

Finite-time stabilization of an overhead crane with a flexible cable submitted to an affine tension

Marc Wijnand, Brigitte d'Andréa-Novel, Lionel Rosier

The paper is concerned with the finite-time stabilization of a hybrid PDE-ODE system describing the motion of an overhead crane with a flexible cable. The dynamics of the flexible…

math.OC2017★ 16 cited

Controllability of the 1D Schrödinger equation using flatness

Philippe Martin, Lionel Rosier, Pierre Rouchon

We derive in a direct way the exact controllability of the 1D free Schrödinger equation with Dirichlet boundary control. We use the so-called flatness approach, which consists in p…

math.OC2014

Controllability of the 1D Schrodinger equation by the flatness approach

Philippe Martin, Lionel Rosier, Pierre Rouchon

We derive in a straightforward way the exact controllability of the 1-D Schrodinger equation with a Dirichlet boundary control. We use the so-called flatness approach, which consis…

math.OC2013

Null Controllability of the 2D Heat Equation Using Flatness

Philippe Martin, Lionel Rosier, Pierre Rouchon

We derive in a direct and rather straightforward way the null controllability of a 2-D heat equation with boundary control. We use the so-called flatness approach, which consists i…

math.OC2013

Determination of the calcium channel distribution in the olfactory system

C. Conca, R. Lecaros, J. H. Ortega +1

In this paper we study a linear inverse problem with a biological interpretation, which is modeled by a Fredholm integral equation of the first kind. When the kernel in the Fredhol…

math.OC2013★ 3 cited

Null Controllability of a System of Viscoelasticity with a Moving Control

Felipe W. Chaves-Silva, Lionel Rosier, Enrique Zuazua

In this paper, we consider the wave equation with both a viscous Kelvin-Voigt and frictional damping as a model of viscoelasticity in which we incorporate an internal control with…