Optimal control problem for nonlinear optical communications systems

被引：0
|
作者：
De la Vega, Constanza S. Fernandez [1 ,2 ]
Moore, Richard [3 ,4 ]
Prieto, Mariana Ines [5 ]
Rial, Diego [1 ,2 ]
机构：
[1] FCEyN UBA, Dept Matemat, FCEyN UBA, Intendente Guiraldes 2160,CABA, RA-1428 Mexico City, Buenos Aires, Argentina
[2] IMAS UBA CONICET, Intendente Guiraldes 2160,CABA, RA-1428 Mexico City, Buenos Aires, Argentina
[3] Soc Ind & Appl Math, Philadelphia, PA USA
[4] New Jersey Inst Technol, Ctr Appl Math & Stat, Newark, NJ USA
[5] Dept Matemat, UNS & INMABB UNS CONICET, Ave Alem 1253, RA-8000 Bahia Blanca, Buenos Aires, Argentina
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2023年 / 346卷
关键词：
Nonlinear Schr?dinger equation; Optimal control; Optical fibers; Noise immunity;
D O I：
10.1016/j.jde.2022.11.050
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider an optimal internal control problem for the cubic nonlinear Schrodinger (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 and numerical simulations.(c) 2022 Elsevier Inc. All rights reserved.
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页码：347 / 375
页数：29
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