Optimal control problem for nonlinear optical communications systems

Authors

Constanza S. Fernández de la Vega, Universidad de Buenos Aires
Richard Moore, Society For Industrial and Applied Math (SIAM)
Mariana Inés Prieto, Consejo Nacional de Investigaciones Científicas y Técnicas
Diego Rial, Universidad de Buenos Aires

Document Type

Article

Publication Date

2-15-2023

Abstract

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 and numerical simulations.

Identifier

85143856773 (Scopus)

Publication Title

Journal of Differential Equations

External Full Text Location

https://doi.org/10.1016/j.jde.2022.11.050

e-ISSN

10902732

ISSN

00220396

First Page

347

Last Page

375

Volume

346

Grant

20020190200399BA

Fund Ref

Secretaría de Ciencia y Técnica, Universidad de Buenos Aires

Recommended Citation

Fernández de la Vega, Constanza S.; Moore, Richard; Prieto, Mariana Inés; and Rial, Diego, "Optimal control problem for nonlinear optical communications systems" (2023). Faculty Publications. 1917.
https://digitalcommons.njit.edu/fac_pubs/1917