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

Alberto Dom\'inguez CorellaNicolai JorkVladimir M. Veliov
Dec 2022
摘要
The paper presents results about strong metric subregularity of theoptimality mapping associated with the system of first-order necessaryoptimality conditions for a problem of optimal control of a semilinearparabolic equation. The control has a predefined spatial distribution and onlythe magnitude at any time is a subject of choice. The obtained conditions forsubregularity imply, in particular, sufficient optimality conditions thatextend the known ones. The paper is complementary to a companion one by thesame authors, in which a distributed control is considered.
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