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Null controllability and finite-time stabilization in minimal time of one-dimensional first-order 2 × 2 linear hyperbolic systems

2021
journal article
article
10.1051/cocv/2021091
Journal
ESAIM. COCV.
100
Author
Hu Long

Olive Guillaume
Volume
27
Article ID
96
ISSN
1292-8119
eISSN
1262-3377
Keywords in English

hyperbolic systems

boundary controllability

minimal control time

backstepping method

Titchmarsh convolution theorem

Language
English
Journal language
English
Abstract in English

The goal of this article is to present the minimal time needed for the null controllability and finite-time stabilization of one-dimensional first-order 2 ×2 linear hyperbolic systems. The main technical point is to show that we cannot obtain a better time. The proof combines the backstepping method with the Titchmarsh convolution theorem.

Affiliation
Wydział Matematyki i Informatyki : Instytut Matematyki
Scopus© citations
4
cris.lastimport.wos2024-04-09T21:39:30Z
dc.abstract.enThe goal of this article is to present the minimal time needed for the null controllability and finite-time stabilization of one-dimensional first-order 2 ×2 linear hyperbolic systems. The main technical point is to show that we cannot obtain a better time. The proof combines the backstepping method with the Titchmarsh convolution theorem.pl
dc.affiliationWydział Matematyki i Informatyki : Instytut Matematykipl
dc.contributor.authorHu, Longpl
dc.contributor.authorOlive, Guillaume - 408003 pl
dc.date.accessioned2021-10-28T08:20:43Z
dc.date.available2021-10-28T08:20:43Z
dc.date.issued2021pl
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.versionostateczna wersja wydawcy
dc.description.volume27pl
dc.identifier.articleid96pl
dc.identifier.doi10.1051/cocv/2021091pl
dc.identifier.eissn1262-3377pl
dc.identifier.issn1292-8119pl
dc.identifier.projectUMO-2020/39/D/ST1/01136.pl
dc.identifier.projectROD UJ / OPpl
dc.identifier.urihttps://ruj.uj.edu.pl/xmlui/handle/item/282116
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.typeotwarte czasopismo
dc.subject.enhyperbolic systemspl
dc.subject.enboundary controllabilitypl
dc.subject.enminimal control timepl
dc.subject.enbackstepping methodpl
dc.subject.enTitchmarsh convolution theorempl
dc.subtypeArticlepl
dc.titleNull controllability and finite-time stabilization in minimal time of one-dimensional first-order 2 × 2 linear hyperbolic systemspl
dc.title.journalESAIM. COCV.pl
dc.typeJournalArticlepl
dspace.entity.typePublication
cris.lastimport.wos
2024-04-09T21:39:30Z
dc.abstract.enpl
The goal of this article is to present the minimal time needed for the null controllability and finite-time stabilization of one-dimensional first-order 2 ×2 linear hyperbolic systems. The main technical point is to show that we cannot obtain a better time. The proof combines the backstepping method with the Titchmarsh convolution theorem.
dc.affiliationpl
Wydział Matematyki i Informatyki : Instytut Matematyki
dc.contributor.authorpl
Hu, Long
dc.contributor.authorpl
Olive, Guillaume - 408003
dc.date.accessioned
2021-10-28T08:20:43Z
dc.date.available
2021-10-28T08:20:43Z
dc.date.issuedpl
2021
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.version
ostateczna wersja wydawcy
dc.description.volumepl
27
dc.identifier.articleidpl
96
dc.identifier.doipl
10.1051/cocv/2021091
dc.identifier.eissnpl
1262-3377
dc.identifier.issnpl
1292-8119
dc.identifier.projectpl
UMO-2020/39/D/ST1/01136.
dc.identifier.projectpl
ROD UJ / OP
dc.identifier.uri
https://ruj.uj.edu.pl/xmlui/handle/item/282116
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
otwarte czasopismo
dc.subject.enpl
hyperbolic systems
dc.subject.enpl
boundary controllability
dc.subject.enpl
minimal control time
dc.subject.enpl
backstepping method
dc.subject.enpl
Titchmarsh convolution theorem
dc.subtypepl
Article
dc.titlepl
Null controllability and finite-time stabilization in minimal time of one-dimensional first-order 2 × 2 linear hyperbolic systems
dc.title.journalpl
ESAIM. COCV.
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations
Wydział Matematyki i Informatyki
Olive, Guillaume
No affiliation
Hu, Long

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Except as otherwise noted, this item is licensed under : Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa

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