Artículo

Optimal distributed control problem for cubic nonlinear Schrödinger equation

Sanchez Fernandez de la Vega, Constanza MarielIcon ; Rial, Diego FernandoIcon
Fecha de publicación: 12/2018
Editorial: Springer London Ltd
Revista: Mathematics Of Control Signals And Systems
ISSN: 0932-4194
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

We consider an optimal internal control problem for the cubic nonlinear Schrödinger (NLS) equation on the line. We prove well-posedness of the problem and existence of an optimal control. In addition, we show first-order optimality conditions. Also, the paper includes the proof of a smoothing effect for the non-homogeneous NLS, which is necessary to obtain the existence of an optimal control.
Palabras clave: NOISE IMMUNITY , NONLINEAR SCHRÖDINGER EQUATION , OPTICAL FIBERS , OPTIMAL CONTROL
 
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/88477
DOI: http://dx.doi.org/10.1007/s00498-018-0222-4
URL: https://link.springer.com/article/10.1007%2Fs00498-018-0222-4
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Citación
Sanchez Fernandez de la Vega, Constanza Mariel; Rial, Diego Fernando; Optimal distributed control problem for cubic nonlinear Schrödinger equation; Springer London Ltd; Mathematics Of Control Signals And Systems; 30; 4; 12-2018; 1-24
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