INVESTIGADORES
GIANATTI Justina
artículos
Título:
Optimal Control of State Constrained Age-Structured Problems
Autor/es:
JOSEPH FRÉDÉRIC BONNANS; JUSTINA GIANATTI
Revista:
SIAM JOURNAL ON CONTROL AND OPTIMIZATION
Editorial:
SIAM PUBLICATIONS
Referencias:
Lugar: Philadelphia-USA; Año: 2020 vol. 58 p. 2206 - 2235
ISSN:
0363-0129
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.
