BOUNDARY CONTROLLABILITY AND BOUNDARY TIME-VARYING FEEDBACK STABILIZATION OF THE 1D WAVE EQUATION IN NON-CYLINDRICAL DOMAINS

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TitreBOUNDARY CONTROLLABILITY AND BOUNDARY TIME-VARYING FEEDBACK STABILIZATION OF THE 1D WAVE EQUATION IN NON-CYLINDRICAL DOMAINS
Type de publicationJournal Article
Year of Publication2022
AuteursYacine M
JournalEVOLUTION EQUATIONS AND CONTROL THEORY
Volume11
Pagination373-397
Date PublishedAPR
Type of ArticleArticle
ISSN2163-2480
Mots-cléscontrollability, non-cylindrical domains, Stability, Wave equation
Résumé

In this paper, we deal with boundary controllability and boundary stabilizability of the 1D wave equation in non-cylindrical domains. By using the characteristics method, we prove under a natural assumption on the boundary functions that the 1D wave equation is controllable and stabilizable from one side of the boundary. Furthermore, the control function and the decay rate of the solution are given explicitly.
DOI10.3934/eect.2021004