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arXiv · 2212.12926

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

Alberto Domínguez Corella·Nicolai Jork·Vladimir M. Veliov
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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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Alberto Domínguez Corella, Nicolai Jork, Vladimir M. Veliov. 2022-12-25. Solution stability of parabolic optimal control problems with fixed state-distribution of the controls. https://doi.org/10.55630/serdica.2023.49.155-186

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