Dominguez Corella, A., Jork, N. A., & Veliov, V. (2023). Solution stability of parabolic optimal control problems with fixed state-distribution of the controls. Serdica Mathematical Journal, 49(1–3), 155–186. https://doi.org/10.55630/serdica.2023.49.155-186
E105-04 - Forschungsbereich Variationsrechnung, Dynamische Systeme und Operations Research
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Journal:
Serdica Mathematical Journal
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ISSN:
1310-6600
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Date (published):
20-Nov-2023
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Number of Pages:
32
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Publisher:
Bulgarian Academy of Sciences
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Peer reviewed:
No
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Keywords:
optimal control; parabolic PDE; stability with respect to perturbations
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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 spacial 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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Project title:
Regularität von Abbildungen - Theorie und Anwendungen: I 4571-N (FWF - Österr. Wissenschaftsfonds)
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Research Areas:
Mathematical and Algorithmic Foundations: 20% Fundamental Mathematics Research: 80%
