<div class="csl-bib-body">
<div class="csl-entry">Dominguez Corella, A., & Veliov, V. (2022). Hölder Regularity in Bang-Bang Type Affine Optimal Control Problems. In <i>Large-Scale Scientific Computing 3th International Conference, LSSC 2021</i> (pp. 306–313). Springer. https://doi.org/10.1007/978-3-030-97549-4_35</div>
</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/135890
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dc.description.abstract
This paper revisits the issue of Hölder Strong Metric sub-Regularity (HSMs-R) of the optimality system associated with ODE optimal control problems that are affine with respect to the control. The main contributions are as follows. First, the metric in the control space, introduced in this paper, differs from the ones used so far in the literature in that it allows to take into consideration the bang-bang structure of the optimal control functions. This is especially important in the analysis of Model Predictive Control algorithms. Second, the obtained sufficient conditions for HSMs-R extend the known ones in a way which makes them applicable to some problems which are non-linear in the state variable and the Hölder exponent is smaller than one (that is, the regularity is not Lipschitz).
en
dc.description.sponsorship
Fonds zur Förderung der wissenschaftlichen Forschung (FWF)
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dc.language.iso
en
-
dc.relation.ispartofseries
Lecture Notes in Computer Science
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dc.subject
Affine problems
en
dc.subject
Hölder metric sub-regularity
en
dc.subject
Optimal control
en
dc.title
Hölder Regularity in Bang-Bang Type Affine Optimal Control Problems
en
dc.type
Inproceedings
en
dc.type
Konferenzbeitrag
de
dc.description.startpage
306
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dc.description.endpage
313
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dc.relation.grantno
P 31400-N32
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dc.type.category
Full-Paper Contribution
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tuw.booktitle
Large-Scale Scientific Computing 3th International Conference, LSSC 2021
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tuw.peerreviewed
true
-
tuw.book.ispartofseries
Lecture Notes in Computer Science
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tuw.relation.publisher
Springer
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tuw.relation.publisherplace
Schweiz
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tuw.project.title
Optimale Steuerung mit endlichen Steuerungsmengen und Anwendungen in der Modelbasierten Regelung
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tuw.researchTopic.id
C4
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tuw.researchTopic.id
A3
-
tuw.researchTopic.name
Mathematical and Algorithmic Foundations
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tuw.researchTopic.name
Fundamental Mathematics Research
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tuw.researchTopic.value
20
-
tuw.researchTopic.value
80
-
tuw.publication.orgunit
E105-04 - Forschungsbereich Variationsrechnung, Dynamische Systeme und Operations Research
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tuw.publisher.doi
10.1007/978-3-030-97549-4_35
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dc.description.numberOfPages
8
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tuw.event.name
13th International Conference, LSSC 2021
en
tuw.event.startdate
07-06-2021
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tuw.event.enddate
11-06-2021
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tuw.event.online
Hybrid
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tuw.event.type
Event for scientific audience
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tuw.event.place
Sozopol
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tuw.event.country
BG
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tuw.event.presenter
Dominguez Corella, Alberto
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wb.sciencebranch
Mathematik
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wb.sciencebranch.oefos
1010
-
wb.sciencebranch.value
100
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item.openairetype
Inproceedings
-
item.openairetype
Konferenzbeitrag
-
item.grantfulltext
none
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item.cerifentitytype
Publications
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item.cerifentitytype
Publications
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item.languageiso639-1
en
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item.openairecristype
http://purl.org/coar/resource_type/c_18cf
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item.openairecristype
http://purl.org/coar/resource_type/c_18cf
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item.fulltext
no Fulltext
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crisitem.project.funder
Fonds zur Förderung der wissenschaftlichen Forschung (FWF)
-
crisitem.project.grantno
P 31400-N32
-
crisitem.author.dept
E105-04 - Forschungsbereich Operations Research und Kontrollsysteme
-
crisitem.author.dept
E105-04 - Forschungsbereich Operations Research und Kontrollsysteme
-
crisitem.author.parentorg
E105 - Institut für Stochastik und Wirtschaftsmathematik
-
crisitem.author.parentorg
E105 - Institut für Stochastik und Wirtschaftsmathematik
