35 citations · 69 across the 14 of their papers we have counts for
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math.OC2026
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…
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.DS2026
Traffic Flow Reconstruction from Limited Collected Data
Nail Baloul, Amaury Hayat, Thibault Liard +1
We propose an efficient method for reconstructing traffic density with low penetration rate of probe vehicles. Specifically, we rely on measuring only the initial and final positio…