Solution stability of parabolic optimal control problems with fixed state-distribution of the controls

2022/12/25 by Alberto Domínguez Corella, Corella, Alberto Domínguez, Nicolai Jork +3
Computer Science · Mathematics · Environmental Science · #Optimization and Variational Analysis #Differential Equations and Numerical Methods #Water Resources and Management

paper · pdf · doi:10.48550/arxiv.2212.12926

Abstract

The paper presents results about strong metric subregularity of the optimality mapping associated with the system of first-order necessary optimality conditions for a problem of optimal control of a semilinear parabolic equation. The control has a predefined spatial distribution and only the magnitude at any time is a subject of choice. The obtained conditions for subregularity imply, in particular, sufficient optimality conditions that extend the known ones. The paper is complementary to a companion one by the same authors, in which a distributed control is considered.

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