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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Bibliographic Details
Published in:IEEE transactions on automatic control Vol. 69; no. 3; pp. 1689 - 1696
Main Authors: Bonilla-Licea, Moise, Bonilla, Moises E.
Format: Journal Article
Language:English
Published: New York IEEE 01.03.2024
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
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
Online Access:Get full text
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Summary: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.
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ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2023.3326062