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math.OC2026
Quantitative Fredholm backstepping and rapid stabilization
Ludovick Gagnon, Amaury Hayat, Swann Marx +2
In this paper, we address the existence of Fredholm backstepping transformations for self-adjoint and skew-adjoint operators . Under suitable assumptions on the operator and…
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…