On the Behavioral Reachability of a Confined Molecule Under Laser Action

In this article, we tackle the mean value control of a diatomic molecule. This problem is treated as a behavioral reachability problem. The control law is synthesized with an operator extracted from the characteristic polynomial of the system. This operator is applied to a Fourier series. The initia...

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Veröffentlicht in:IEEE transactions on automatic control Jg. 69; H. 3; S. 1689 - 1696
Hauptverfasser: Bonilla-Licea, Moise, Bonilla, Moises E.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: New York IEEE 01.03.2024
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Schlagworte:
Control theory
Controllability
Fourier series
Harmonic analysis
Linear algebra
linear systems
Oscillators
Polynomials
Quantum state
Quantum system
State-space methods
statespace methods
Uncertainty
Wave functions
ISSN:0018-9286, 1558-2523
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Zusammenfassung:In this article, we tackle the mean value control of a diatomic molecule. This problem is treated as a behavioral reachability problem. The control law is synthesized with an operator extracted from the characteristic polynomial of the system. This operator is applied to a Fourier series. The initial and final conditions are, respectively, adjusted with cosinus and sinus terms. We illustrate our results with an <inline-formula><tex-math notation="LaTeX">\text{HCl}</tex-math></inline-formula> molecule.
Bibliographie:ObjectType-Article-1
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ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2023.3326062