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math.AP2024
Cost of controllability of the Burgers' equation linearized at a steady shock in the vanishing viscosity limit
Vincent Laheurte
We consider the one-dimensional Burgers' equation linearized at a stationary shock, and investigate its null-controllability cost with a control at the left endpoint. We give an up…
math.AP2024
A new look at the controllability cost of linear evolution systems with a long gaze at localized data
Roberta Bianchini, Vincent Laheurte, Franck Sueur
We revisit the classical issue of the controllability/observability cost of linear first order evolution systems, starting with ODEs, before turning to some linear first order evol…