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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…
math.OC2016★ 3 cited
Lagrangian Controllability of the 1-D Korteweg-de Vries Equation
Ludovick Gagnon
We consider in this paper the problem of the Lagrangian controllability for the Korteweg-de Vries equation. Using the -solitons solution, we prove that, for any length of the sp…