Optimal Control of State Constrained Age-Structured Problems

Optimal Control of State Constrained Age-Structured Problems

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 an...

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Veröffentlicht in:SIAM journal on control and optimization 2020-01, Vol.58 (4), p.2206-2235
Hauptverfasser: Bonnans, J. Frédéric, Gianatti, Justina
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Optimization and Control
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Gianatti, Justina
description 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.
doi_str_mv 10.1137/19M1271257
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Optimization and Control
title Optimal Control of State Constrained Age-Structured Problems
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