3 papers
math.OC2020
State-constrained controllability of linear reaction-diffusion systems
Pierre Lissy, Clément Moreau
We study the controllability of a coupled system of linear parabolic equations, with non-negativity constraint on the state. We establish two results of controllability to trajecto…
math.AP2020
A Fredholm transformation for the rapid stabilization of a degenerate parabolic equation
Ludovick Gagnon, Pierre Lissy, Swann Marx
This paper deals with the rapid stabilization of a degenerate parabolic equation with a right Dirich-let control. Our strategy consists in applying a backstepping strategy, which s…
math.AP2019
Bilinear local controllability to the trajectories of the Fokker-Planck equation with a localized control
Michel Duprez, Pierre Lissy
This work is devoted to the control of the Fokker-Planck equation, posed on a smooth bounded domain of R^d, with a localized drift force. We prove that this equation is locally con…