6533b854fe1ef96bd12aebd5

RESEARCH PRODUCT

Impulsive control of the bilinear Schrödinger equation: propagators and attainable sets

Thomas ChambrionNabile BoussaidMarco Caponigro

subject

Classical theoryPropagatorBilinear interpolationSchrödinger equationControllabilitysymbols.namesakeBilinear controlBounded functionSettore MAT/05symbolsApplied mathematicsBall (mathematics)[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]Mathematics

description

International audience; We consider a linear Schrödinger equation with an unbounded bilinear control term. The control term is the derivative of function with bounded variations (impulsive control). Well-posedness results and regularity of the associated propagators follow from classical theory from Kato. As a byproduct, one obtains a topological obstruction to exact controllability of the system in the spirit of the results of Ball, Marsden and Slemrod.

yearjournalcountryeditionlanguage
2019-12-11
10.1109/cdc40024.2019.9029277https://hal.archives-ouvertes.fr/hal-02747636/document