Publikation: Stability result for the Timoshenko system with a time-varying delay term in the internal feedbacks
Dateien
Datum
Autor:innen
Herausgeber:innen
ISSN der Zeitschrift
Electronic ISSN
ISBN
Bibliografische Daten
Verlag
Schriftenreihe
Auflagebezeichnung
DOI (zitierfähiger Link)
Internationale Patentnummer
Angaben zur Forschungsförderung
Projekt
Open Access-Veröffentlichung
Sammlungen
Core Facility der Universität Konstanz
Titel in einer weiteren Sprache
Publikationstyp
Publikationsstatus
Erschienen in
Zusammenfassung
We study the exponential stability of the Timoshenko beam system by interior time-dependent delay term feedbacks. The beam is clamped at the two hand points subject to two internal feedbacks: one with a time-varying delay and the other without delay. Using the variable norm technique of Kato, it is proved that the system is well-posed whenever an hypothesis between the weight of the delay term in the feedback, the weight of the term without delay and the wave speeds. By introducing an appropriate Lyapunov functional the exponential stability of the system is proved. Under the imposed constrain on the weights of the feedbacks and the wave speeds, the exponential decay of the energy is established via a suitable Lyapunov functional.
Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
Schlagwörter
Konferenz
Rezension
Zitieren
ISO 690
KIRANE, Mokhtar, Belkacem SAID-HOUARI, Mohamed Naim ANWAR, 2011. Stability result for the Timoshenko system with a time-varying delay term in the internal feedbacks. In: Communications on Pure and Applied Analysis. American Institute of Mathematical Sciences (AIMS). 2011, 10(2), pp. 667-686. ISSN 1534-0392. eISSN 1553-5258. Available under: doi: 10.3934/cpaa.2011.10.667BibTex
@article{Kirane2011-03Stabi-51074, year={2011}, doi={10.3934/cpaa.2011.10.667}, title={Stability result for the Timoshenko system with a time-varying delay term in the internal feedbacks}, number={2}, volume={10}, issn={1534-0392}, journal={Communications on Pure and Applied Analysis}, pages={667--686}, author={Kirane, Mokhtar and Said-Houari, Belkacem and Anwar, Mohamed Naim} }
RDF
<rdf:RDF xmlns:dcterms="http://purl.org/dc/terms/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bibo="http://purl.org/ontology/bibo/" xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#" xmlns:foaf="http://xmlns.com/foaf/0.1/" xmlns:void="http://rdfs.org/ns/void#" xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > <rdf:Description rdf:about="https://kops.uni-konstanz.de/server/rdf/resource/123456789/51074"> <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/51074"/> <dc:creator>Kirane, Mokhtar</dc:creator> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dc:contributor>Anwar, Mohamed Naim</dc:contributor> <dcterms:title>Stability result for the Timoshenko system with a time-varying delay term in the internal feedbacks</dcterms:title> <dc:contributor>Kirane, Mokhtar</dc:contributor> <dc:contributor>Said-Houari, Belkacem</dc:contributor> <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/> <foaf:homepage rdf:resource="http://localhost:8080/"/> <dc:creator>Anwar, Mohamed Naim</dc:creator> <dc:creator>Said-Houari, Belkacem</dc:creator> <dcterms:abstract xml:lang="eng">We study the exponential stability of the Timoshenko beam system by interior time-dependent delay term feedbacks. The beam is clamped at the two hand points subject to two internal feedbacks: one with a time-varying delay and the other without delay. Using the variable norm technique of Kato, it is proved that the system is well-posed whenever an hypothesis between the weight of the delay term in the feedback, the weight of the term without delay and the wave speeds. By introducing an appropriate Lyapunov functional the exponential stability of the system is proved. Under the imposed constrain on the weights of the feedbacks and the wave speeds, the exponential decay of the energy is established via a suitable Lyapunov functional.</dcterms:abstract> <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/> <dcterms:issued>2011-03</dcterms:issued> <dc:language>eng</dc:language> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2020-09-29T07:05:09Z</dcterms:available> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2020-09-29T07:05:09Z</dc:date> </rdf:Description> </rdf:RDF>