Impulsive control of the bilinear Schrodinger equation: propagators and attainable sets
| Affiliation auteurs | Affiliation ok |
| Titre | Impulsive control of the bilinear Schrodinger equation: propagators and attainable sets |
| Type de publication | Conference Paper |
| Year of Publication | 2019 |
| Auteurs | Boussaid N, Caponigro M, Chambrion T |
| Conference Name | 2019 IEEE 58TH CONFERENCE ON DECISION AND CONTROL (CDC) |
| Publisher | IEEE |
| Conference Location | 345 E 47TH ST, NEW YORK, NY 10017 USA |
| ISBN Number | 978-1-7281-1398-2 |
| Résumé | We consider a linear Schrodinger 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. |