{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,16]],"date-time":"2026-04-16T07:02:33Z","timestamp":1776322953516,"version":"3.50.1"},"reference-count":33,"publisher":"Oxford University Press (OUP)","issue":"4","license":[{"start":{"date-parts":[[2024,9,20]],"date-time":"2024-09-20T00:00:00Z","timestamp":1726790400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/pages\/standard-publication-reuse-rights"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2024,12,19]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>The strong stabilization of the considered system is established by presenting sufficient conditions based on an observability condition expressed by the semigroup solution of the linear part of the bilinear system. An explicit estimate on the convergence of the decay rate is established. Moreover, some sufficient conditions are used to discuss the weak stabilization of the considered system. Additionally, an illustrative example with numerical simulations is included.<\/jats:p>","DOI":"10.1093\/imamci\/dnae027","type":"journal-article","created":{"date-parts":[[2024,9,21]],"date-time":"2024-09-21T00:35:06Z","timestamp":1726878906000},"page":"611-633","source":"Crossref","is-referenced-by-count":4,"title":["Stabilization of bilinear systems with distributed delays using the Banach state space decomposition method"],"prefix":"10.1093","volume":"41","author":[{"ORCID":"https:\/\/orcid.org\/0009-0008-9203-190X","authenticated-orcid":false,"given":"Ayoub","family":"Cheddour","sequence":"first","affiliation":[{"name":"Engineering Sciences Laboratory , Department of Mathematics, Polydisciplinary Faculty of Taza, , Fes 1223,","place":["Morocco"]},{"name":"University of Sidi Mohamed Ben Abdellah , Department of Mathematics, Polydisciplinary Faculty of Taza, , Fes 1223,","place":["Morocco"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6952-3112","authenticated-orcid":false,"given":"Abdelhai","family":"Elazzouzi","sequence":"additional","affiliation":[{"name":"Engineering Sciences Laboratory , Department of Mathematics, Polydisciplinary Faculty of Taza, , Fes 1223,","place":["Morocco"]},{"name":"University of Sidi Mohamed Ben Abdellah , Department of Mathematics, Polydisciplinary Faculty of Taza, , Fes 1223,","place":["Morocco"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3855-5944","authenticated-orcid":false,"given":"Fathalla A","family":"Rihan","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, College of Science, United Arab Emirates University , P.O. 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