4 papers · 1 filter
Optimal cost of fast boundary controls for the one-dimensional heat equation
Pierre Lissy
We consider the heat equation on with homogeneous Dirichlet condition at one endpoint and a Dirichlet boundary control at the other. If \(C_{\mathrm H}(T,L)\) denotes the o…
Control and stabilization of cascade coupled systems: application to a 1-d heat and wave coupled system
Lucas Davron, Pierre Lissy, Swann Marx
We study cascade coupled systems, for which our prototypical example is a 1-d heat equation coupled with a 1-d wave equation. The heat component is controlled through one boundary…
Exact output tracking for the one-dimensional heat equation and applications to the interpolation problem in Gevrey classes of order 2
Lucas Davron, Pierre Lissy
This paper provides a complete characterization of the Dirichlet boundary outputs that can be exactly tracked in the one-dimensional heat equation with Neumann boundary control. Th…
Null controllability of the 1D heat equation with interior inverse square potential
Pierre Lissy, Tanguy Lourme
This paper aims to answer an open problem posed by Morancey in 2015 concerning the null controllability of the heat equation on (-1, 1) with an internal inverse square potential lo…