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- Title
SOLUTION STABILITY OF PARABOLIC OPTIMAL CONTROL PROBLEMS WITH FIXED STATE-DISTRIBUTION OF THE CONTROLS.
- Authors
Domínguez Corella, Alberto; Jork, Nicolai; Veliov, Vladimir M.
- 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.
- Subjects
EQUATIONS; AUTHORS
- Publication
Serdica Mathematical Journal, 2023, Vol 49, Issue 1-3, p155
- ISSN
1310-6600
- Publication type
Article
- DOI
10.55630/serdica.2023.49.155-186