{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,9,23]],"date-time":"2023-09-23T12:18:10Z","timestamp":1695471490363},"reference-count":27,"publisher":"Oxford University Press (OUP)","issue":"3","license":[{"start":{"date-parts":[[2023,9,1]],"date-time":"2023-09-01T00:00:00Z","timestamp":1693526400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/pages\/standard-publication-reuse-rights"}],"funder":[{"name":"Qinghai Minzu University","award":["2021XJG11"],"award-info":[{"award-number":["2021XJG11"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2023,9,20]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>In this paper, the uniform stabilization of a multi-dimensional Schr\u00f6dinger equation with partial Dirichlet delayed control is concerned. The control input is suffered from time delay. Herein a new feedback controller is adopted in the investigation. Firstly, we rewrite the delayed system under consideration into a cascaded system of a transport equation and a Schr\u00f6dinger equation, and construct an exponentially stable target system. Then by defining a bounded invertible linear transformation and choosing some appropriate kernel functions, we establish the equivalence between the closed-loop system and the target system. Finally, the exponential stability of the closed-loop system is obtained.<\/jats:p>","DOI":"10.1093\/imamci\/dnad022","type":"journal-article","created":{"date-parts":[[2023,7,30]],"date-time":"2023-07-30T12:04:44Z","timestamp":1690718684000},"page":"534-559","source":"Crossref","is-referenced-by-count":0,"title":["Uniform stabilization of a Schr\u00f6dinger equation with partial Dirichlet delayed control"],"prefix":"10.1093","volume":"40","author":[{"given":"Xiaorui","family":"Wang","sequence":"first","affiliation":[{"name":"Department of Mathematics and Statistics, Qinghai Minzu University , Xining, Qinghai 810007 , China"}]},{"given":"Yanfang","family":"Li","sequence":"additional","affiliation":[{"name":"College of Mathematics and Information Science, Henan Normal University , Xinxiang, Henan 453007 , China"}]}],"member":"286","published-online":{"date-parts":[[2023,9,5]]},"reference":[{"key":"2023092216581639700_ref1","doi-asserted-by":"crossref","first-page":"526","DOI":"10.1137\/0325029","article-title":"Modeling, stabilization and control of serially connected beam","volume":"25","author":"Chen","year":"1987","journal-title":"SIAM J. 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