An Insensitizing Control Problem for the Ginzburg–Landau Equation

Autor: Mauricio C. Santos, Thiago Yukio Tanaka

Publikováno v: Journal of Optimization Theory and Applications. 183:440-470

In this paper, we prove the existence of insensitizing controls for the nonlinear Ginzburg–Landau equation. Here, we have a partially unknown initial data, and the problem consists in finding controls such that a specific functional is insensitive

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3fbb0a4ce0985dee87b4f0ec8570bf14
https://doi.org/10.1007/s10957-019-01569-w

Localization of energy and localized controllability

Autor: Mauricio C. Santos, Jean Pierre Puel, Felipe W. Chaves-Silva

Publikováno v: ESAIM: Control, Optimisation and Calculus of Variations
ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2021, 27, pp.29. ⟨10.1051/cocv/2021005⟩

We will consider both the controlled Schrödinger equation and the controlled wave equation on a bounded open set Ω of ℝN during an interval of time (0, T), with T > 0. The control is distributed and acts on a nonempty open subdomain ω of Ω. On

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::176f0b13529d6382378bcb898c43fcb7
https://hal.archives-ouvertes.fr/hal-03192294/document

Determination of fragrance content in perfume by Raman spectroscopy and multivariate calibration

Autor: Robson B. Godinho, Mauricio C. Santos, Ronei J. Poppi

Publikováno v: Spectrochimica Acta Part A: Molecular and Biomolecular Spectroscopy. 157:158-163

An alternative methodology is herein proposed for determination of fragrance content in perfumes and their classification according to the guidelines established by fine perfume manufacturers. The methodology is based on Raman spectroscopy associated

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4de47c03dcacd108eb3a7c29a4259e85
https://doi.org/10.1016/j.saa.2015.12.025

Boundary null controllability as the limit of internal controllability: The heat case

Autor: Mauricio C. Santos, Felipe W. Chaves-Silva, Jean Pierre Puel

Publikováno v: ESAIM: Control, Optimisation and Calculus of Variations. 26:91

It is well known that for the heat equation with Dirichlet boundary condition both internal and boundary null controllability hold with controls applied to any open subset of the domain and any open subset of the boundary, respectively. The purpose o

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3a1bbcd54cdd66d4c487a5f4996734de
https://doi.org/10.1051/cocv/2020013

Numerical null controllability of the 1D linear Schrödinger equation

Autor: Enrique Fernández-Cara, Mauricio C. Santos

Publikováno v: Systems & Control Letters. 73:33-41

This paper deals with the numerical approximation to boundary controls that drive the solution to the 1 D linear Schrodinger equation to a prescribed state at a final time. Using ideas from Fursikov and Imanuvilov, we consider the control that minimi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8944d4be87f05d19769c0252e4b9ee60
https://doi.org/10.1016/j.sysconle.2014.08.017