{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T07:31:03Z","timestamp":1777447863876,"version":"3.51.4"},"reference-count":21,"publisher":"SAGE Publications","issue":"1-2","license":[{"start":{"date-parts":[[2017,5,15]],"date-time":"2017-05-15T00:00:00Z","timestamp":1494806400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Asymptotic Analysis"],"published-print":{"date-parts":[[2017,5,15]]},"abstract":"<jats:p>In this paper we study the dynamic feedback stability for some simplified model of fluid\u2013structure interaction on a tree. We prove that, under some conditions, the energy of the solutions of the dissipative system decay exponentially to zero when the time tends to infinity. Our technique is based on a frequency domain method and a special analysis for the resolvent.<\/jats:p>","DOI":"10.3233\/asy-171418","type":"journal-article","created":{"date-parts":[[2017,5,16]],"date-time":"2017-05-16T12:54:45Z","timestamp":1494939285000},"page":"33-55","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":2,"title":["Feedback stabilization of a simplified model of fluid\u2013structure interaction on a tree"],"prefix":"10.1177","volume":"103","author":[{"given":"Ka\u00efs","family":"Ammari","sequence":"first","affiliation":[{"name":"UR Analysis and Control of PDEs, UR 13ES64, Department of Mathematics, Faculty of Sciences of Monastir, University of Monastir, Monastir, Tunisia. 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