30 citations · 115 across the 24 of their papers we have counts for
29 papers
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…
Exact controllability of the linear Zakharov-Kuznetsov equation
Mo Chen, Lionel Rosier
We consider the linear Zakharov-Kuznetsov equation on a rectangle with a left Dirich-let boundary control. Using the flatness approach, we prove the null controllability of this eq…
Exact Controllability of Nonlinear Heat Equations in Spaces of Analytic Functions
Camille Laurent, Lionel Rosier
It is by now well known that the use of Carleman estimates allows to establish the control-lability to trajectories of nonlinear parabolic equations. However, by this approach, it…
Exact controllability of a linear Korteweg-de Vries equation by the flatness approach
Ivonne Rivas, Philippe Martin, Lionel Rosier +1
We consider a linear Korteweg-de Vries equation on a bounded domain with a left Dirichlet boundary control.The controllability to the trajectories of such a system was proved in th…
Control of a Boussinesq system of KdV-KdV type on a bounded interval
Roberto A. Capistrano-Filho, Ademir F. Pazoto, Lionel Rosier
We consider a Boussinesq system of KdV-KdV type introduced by J. Bona, M. Chen and J.-C. Saut as a model for the motion of small amplitude long waves on the surface of an ideal flu…
Boundary stabilization of quasilinear hyperbolic systems of balance laws: Exponential decay for small source terms
Martin Gugat, Vincent Perrollaz, Lionel Rosier
We investigate the long-time behavior of solutions of quasilinear hyperbolic systems with transparent boundary conditions when small source terms are incorporated in the system. Ev…