DocumentCode
2238746
Title
Controllability properties of discrete-spectrum Schrödinger equations
Author
Chambrion, Thomas ; Mason, Paolo ; Sigalotti, Mario ; Boscain, Ugo
Author_Institution
INRIA, Nancy- Univ., Vandoeuvre-les-Nancy, France
fYear
2008
fDate
9-11 Dec. 2008
Firstpage
4540
Lastpage
4545
Abstract
We state an approximate controllability result for the bilinear Schrodinger equation in the case in which the uncontrolled Hamiltonian has discrete non-resonant spectrum. This result applies both to bounded or unbounded domains and to the case in which the control potential is bounded or unbounded. In addition we get some controllability properties for the density matrix. Finally we show, by means of specific examples, how these results can be applied.
Keywords
Schrodinger equation; controllability; matrix algebra; bilinear Schrodinger equation; controllability properties; density matrix; discrete nonresonant spectrum; discrete-spectrum Schrodinger equations; uncontrolled Hamiltonian; Control systems; Controllability; Hilbert space; Laplace equations; Laser modes; Laser theory; Nuclear magnetic resonance; Space technology; State-space methods; Wave functions;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2008. CDC 2008. 47th IEEE Conference on
Conference_Location
Cancun
ISSN
0191-2216
Print_ISBN
978-1-4244-3123-6
Electronic_ISBN
0191-2216
Type
conf
DOI
10.1109/CDC.2008.4738720
Filename
4738720
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