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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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
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Abstract	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.
AbstractList	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 [Formula Omitted] molecule. 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.
Author	Bonilla-Licea, Moise Bonilla, Moises E.
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SubjectTerms	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
Title	On the Behavioral Reachability of a Confined Molecule Under Laser Action
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