DocumentCode
2625853
Title
Lyapunov-based control of quantum systems
Author
Grivopoulos, Symeon ; Bamieh, Bassam
Author_Institution
Dept. of Mech. & Environ. Eng., California Univ., Santa Barbara, CA, USA
Volume
1
fYear
2003
fDate
9-12 Dec. 2003
Firstpage
434
Abstract
We propose feedback control laws for quantum systems, based on Lyapunov design. These feedback laws locally asymptotically stabilize any desired eigenstate of the system Hamiltonian. The target eigenstate and the size of its region of attraction can be tailored by the choice of design parameters. These feedback control laws are used to design open loop controls for state transfer problems. We illustrate the method with a transfer problem between bound states of a molecular Morse oscillator.
Keywords
Lyapunov methods; asymptotic stability; control system synthesis; eigenvalues and eigenfunctions; open loop systems; quantum theory; state feedback; Lyapunov based control; asymptotic stability; eigenstate; feedback control law; molecular Morse oscillator; open loop control design; quantum systems; system Hamiltonian; Control system synthesis; Control systems; Controllability; Design engineering; Eigenvalues and eigenfunctions; Feedback control; Open loop systems; Optimal control; Quantum mechanics; State feedback;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
ISSN
0191-2216
Print_ISBN
0-7803-7924-1
Type
conf
DOI
10.1109/CDC.2003.1272601
Filename
1272601
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