3 papers
math.OC2026
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…
math.OC2025
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…
math.OC2024
On the control of LTI systems with rough control laws
Lucas Davron
The theory of linear time invariant systems is well established and allows, among other things, to formulate and solve control problems in finite time. In this context the control…