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math.OC2024★ 7 cited
Quantitative Fattorini-Hautus test and minimal null control time for parabolic problems
F. Ammar Khodja, A. Benabdallah, M. González-Burgos +1
This paper investigates the link between the null controllability property for some abstract parabolic problems and an inequality that can be seen as a quantified Fattorini-Hautus…
math.OC2016★ 2 cited
Rapid Stabilization of a Linearized Bilinear Schrödinger Equation
Jean-Michel Coron, Ludovick Gagnon, Morgan Morancey
We consider the one dimensional Schrödinger equation with a bilinear control and prove the rapid stabilization of the linearized equation around the ground state. The feedback law…