Solution stability of parabolic optimal control problems with fixed state-distribution of the controls
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866908660636057600 |
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| author | Corella, Alberto Domínguez Jork, Nicolai Veliov, Vladimir M. |
| author_facet | Corella, Alberto Domínguez Jork, Nicolai Veliov, Vladimir M. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_12926 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Solution stability of parabolic optimal control problems with fixed state-distribution of the controls Corella, Alberto Domínguez Jork, Nicolai Veliov, Vladimir M. Optimization and Control 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. |
| title | Solution stability of parabolic optimal control problems with fixed state-distribution of the controls |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2212.12926 |