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.

引用

页码：347 / 375

页数：29

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