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Optimal control of state constrained age-structured problems

Abstract : 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.
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https://hal.inria.fr/hal-02164310
Contributor : Justina Gianatti <>
Submitted on : Sunday, April 19, 2020 - 4:51:51 AM
Last modification on : Friday, April 30, 2021 - 10:00:03 AM

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  • HAL Id : hal-02164310, version 2

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Joseph Frédéric Bonnans, Justina Gianatti. Optimal control of state constrained age-structured problems. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2020, 58 (4), pp.2206--2235. ⟨hal-02164310v2⟩

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