Title :
Generic controllability properties for the bilinear Schrödinger equation
Author :
Sigalotti, Mario ; Mason, Paolo ; Boscain, Ugo ; Chambrion, Thomas
Author_Institution :
INRIA Nancy - Grand Est, Nancy Univ., Vandoeuvre-les-Nancy, France
Abstract :
In a recent paper we proposed a set of sufficient conditions for the approximate controllability of a discrete-spectrum bilinear Schrodinger equation on a fixed domain. These conditions are expressed in terms of the controlled potential and of the eigenpairs of the uncontrolled Schrodinger operator. The aim of this presentation is to show that these conditions are generic with respect to the uncontrolled or the controlled potential. The results are obtained by analytic perturbation arguments and through the study of asymptotic properties of eigenfunctions.
Keywords :
Schrodinger equation; controllability; discrete systems; eigenvalues and eigenfunctions; perturbation techniques; analytic perturbation arguments; approximate controllability; asymptotic properties; discrete-spectrum bilinear Schrodinger equation; eigenfunctions; eigenpairs; fixed domain; generic controllability properties; sufficient conditions; uncontrolled Schrodinger operator; Control systems; Controllability; Differential equations; Eigenvalues and eigenfunctions; Robust control; Sufficient conditions; Wave functions;
Conference_Titel :
Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-3871-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2009.5399813
