Artículo

Optimal control of state constrained age-structured problems

Joseph Frédéric, Bonnans; Gianatti, JustinaIcon
Fecha de publicación: 07/2020
Editorial: Society for Industrial and Applied Mathematics
Revista: Siam Journal On Control And Optimization
ISSN: 0363-0129
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

The aim of this work is to study an optimal control problem with state constraints where the state is given by an age-structured, abstract parabolic differential equation. We prove the existence and uniqueness of solution for the state equation and provide first and second parabolic estimates. We analyze the differentiability of the cost function and, based on the general theory of Lagrange multipliers, we give a first order optimality condition. We also define and analyze the regularity of the costate.
Palabras clave: ABSTRACT PARABOLIC EQUATIONS , AGE-STRUCTURED SYSTEMS , OPTIMAL CONTROL , STATE CONSTRAINTS
 
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info:eu-repo/semantics/restrictedAccess 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/11336/185946
DOI: https://doi.org/10.1137/19M1271257
URL: https://epubs.siam.org/doi/10.1137/19M1271257
Colecciones
Articulos(CIFASIS)
Articulos de CENTRO INT.FRANCO ARG.D/CS D/L/INF.Y SISTEM.
Citación
Joseph Frédéric, Bonnans; Gianatti, Justina; Optimal control of state constrained age-structured problems; Society for Industrial and Applied Mathematics; Siam Journal On Control And Optimization; 58; 4; 7-2020; 2206-2235
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