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Optimal control of history-dependent evolution inclusions with applications to frictional contact

2020
journal article
article
10.1007/s10957-020-01659-0
Journal
Journal of Optimization Theory and Applications
70
Author
Migórski Stanisław
Volume
185
Pages
574-596
ISSN
0022-3239
eISSN
1573-2878
Keywords in English

optimal control

evolution inclusion

variational inequality

history-dependent operator

frictional contact

Language
English
Journal language
English
Abstract in English

In this paper, we study a class of subdifferential evolution inclusions involving history-dependent operators. First, we improve an existence and uniqueness theorem and prove the continuous dependence result in the weak topologies. Next, we establish the existence of optimal solution to an optimal control problem for the evolution inclusion. Finally, we illustrate the results by an example of an optimal control of a dynamic frictional contact problem in mechanics, whose weak formulation is the evolution variational inequality.

Affiliation
Wydział Matematyki i Informatyki : Katedra Teorii Optymalizacji i Sterowania
Scopus© citations
13
cris.lastimport.wos2024-04-09T18:38:51Z
dc.abstract.enIn this paper, we study a class of subdifferential evolution inclusions involving history-dependent operators. First, we improve an existence and uniqueness theorem and prove the continuous dependence result in the weak topologies. Next, we establish the existence of optimal solution to an optimal control problem for the evolution inclusion. Finally, we illustrate the results by an example of an optimal control of a dynamic frictional contact problem in mechanics, whose weak formulation is the evolution variational inequality.pl
dc.affiliationWydział Matematyki i Informatyki : Katedra Teorii Optymalizacji i Sterowaniapl
dc.contributor.authorMigórski, Stanisław - 130585 pl
dc.date.accessioned2020-05-25T20:49:04Z
dc.date.available2020-05-25T20:49:04Z
dc.date.issued2020pl
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.physical574-596pl
dc.description.versionostateczna wersja wydawcy
dc.description.volume185pl
dc.identifier.doi10.1007/s10957-020-01659-0pl
dc.identifier.eissn1573-2878pl
dc.identifier.issn0022-3239pl
dc.identifier.project823731 CONMECHpl
dc.identifier.projectNatural Science Foundation of Guangxi 2018GXNSFAA281353pl
dc.identifier.projectBeibu Gulf University Project No. 2018KYQD06pl
dc.identifier.projectNos. 4004/GGPJII/H2020/2018/0 and 440328/PnH2/2019pl
dc.identifier.projectROD UJ / OPpl
dc.identifier.urihttps://ruj.uj.edu.pl/xmlui/handle/item/156518
dc.languageengpl
dc.language.containerengpl
dc.rightsUdzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa*
dc.rights.licenceCC-BY
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/legalcode.pl*
dc.share.typeinne
dc.subject.enoptimal controlpl
dc.subject.enevolution inclusionpl
dc.subject.envariational inequalitypl
dc.subject.enhistory-dependent operatorpl
dc.subject.enfrictional contactpl
dc.subtypeArticlepl
dc.titleOptimal control of history-dependent evolution inclusions with applications to frictional contactpl
dc.title.journalJournal of Optimization Theory and Applicationspl
dc.typeJournalArticlepl
dspace.entity.typePublication
cris.lastimport.wos
2024-04-09T18:38:51Z
dc.abstract.enpl
In this paper, we study a class of subdifferential evolution inclusions involving history-dependent operators. First, we improve an existence and uniqueness theorem and prove the continuous dependence result in the weak topologies. Next, we establish the existence of optimal solution to an optimal control problem for the evolution inclusion. Finally, we illustrate the results by an example of an optimal control of a dynamic frictional contact problem in mechanics, whose weak formulation is the evolution variational inequality.
dc.affiliationpl
Wydział Matematyki i Informatyki : Katedra Teorii Optymalizacji i Sterowania
dc.contributor.authorpl
Migórski, Stanisław - 130585
dc.date.accessioned
2020-05-25T20:49:04Z
dc.date.available
2020-05-25T20:49:04Z
dc.date.issuedpl
2020
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.physicalpl
574-596
dc.description.version
ostateczna wersja wydawcy
dc.description.volumepl
185
dc.identifier.doipl
10.1007/s10957-020-01659-0
dc.identifier.eissnpl
1573-2878
dc.identifier.issnpl
0022-3239
dc.identifier.projectpl
823731 CONMECH
dc.identifier.projectpl
Natural Science Foundation of Guangxi 2018GXNSFAA281353
dc.identifier.projectpl
Beibu Gulf University Project No. 2018KYQD06
dc.identifier.projectpl
Nos. 4004/GGPJII/H2020/2018/0 and 440328/PnH2/2019
dc.identifier.projectpl
ROD UJ / OP
dc.identifier.uri
https://ruj.uj.edu.pl/xmlui/handle/item/156518
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights*
Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa
dc.rights.licence
CC-BY
dc.rights.uri*
http://creativecommons.org/licenses/by/4.0/legalcode.pl
dc.share.type
inne
dc.subject.enpl
optimal control
dc.subject.enpl
evolution inclusion
dc.subject.enpl
variational inequality
dc.subject.enpl
history-dependent operator
dc.subject.enpl
frictional contact
dc.subtypepl
Article
dc.titlepl
Optimal control of history-dependent evolution inclusions with applications to frictional contact
dc.title.journalpl
Journal of Optimization Theory and Applications
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations
Wydział Matematyki i Informatyki
Migórski, Stanisław

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