{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T22:23:18Z","timestamp":1775082198336,"version":"3.50.1"},"reference-count":42,"publisher":"Oxford University Press (OUP)","issue":"3","license":[{"start":{"date-parts":[[2023,5,29]],"date-time":"2023-05-29T00:00:00Z","timestamp":1685318400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/pages\/standard-publication-reuse-rights"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61573013"],"award-info":[{"award-number":["61573013"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61603286"],"award-info":[{"award-number":["61603286"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62003254"],"award-info":[{"award-number":["62003254"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"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>This paper designs a Dirichlet boundary controller to stabilize a heat equation with boundary disturbance within a prescribed finite time independent of initial conditions. We first use boundary measurements and time-varying gain to construct a disturbance estimator that estimates the disturbance itself and the system state within a prescribed time. We then design the estimation-based prescribed time boundary controller by the backstepping transformation with a time-varying kernel. The control gain proposed here diverges as the time approaches the prescribed time. Nevertheless, we can demonstrate the controller\u2019s boundedness and the system\u2019s prescribed time stability. A simulation example illustrates the theoretical result.<\/jats:p>","DOI":"10.1093\/imamci\/dnad017","type":"journal-article","created":{"date-parts":[[2023,5,29]],"date-time":"2023-05-29T16:54:20Z","timestamp":1685379260000},"page":"445-473","source":"Crossref","is-referenced-by-count":4,"title":["Prescribed-time stabilization of uncertain heat equation with Dirichlet boundary control"],"prefix":"10.1093","volume":"40","author":[{"given":"Chengzhou","family":"Wei","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Xidian University , Shaanxi, Xi\u2019an 710126 , P.R. China"},{"name":"School of the Electronics and Information Engineering, Taizhou University , Zhejiang, Taizhou 318000 , P.R. China"}]},{"given":"Junmin","family":"Li","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Xidian University , Shaanxi, Xi\u2019an 710126 , P.R. 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