{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T12:36:57Z","timestamp":1740141417375,"version":"3.37.3"},"reference-count":25,"publisher":"Oxford University Press (OUP)","issue":"2","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 Science Foundation of China","doi-asserted-by":"publisher","award":["62073203"],"award-info":[{"award-number":["62073203"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Support Plan for Outstanding Youth Innovation Team in Shandong Higher Education Institutions","award":["2021KJ037"],"award-info":[{"award-number":["2021KJ037"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2023,6,16]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>In this paper, we consider parameter estimation and velocity signal extraction from a disturbed boundary velocity signal for an unstable wave equation. Firstly, an adaptive observer is designed based on the boundary displacement and the corrupted boundary velocity. Then the design of the feedback law adopts the backstepping method of infinite dimensional system. Finally, as time approaches infinity, the estimated parameters converge to the unknown parameters, the initial value disturbance can be obtained, and the velocity signal can be asymptotically recovered. Meanwhile, the asymptotic stability of the closed-loop system can be proved by $C_{0}$-semigroup theory and Lyapunov method. Numerical simulation shows that the proposed scheme is reasonable.<\/jats:p>","DOI":"10.1093\/imamci\/dnad018","type":"journal-article","created":{"date-parts":[[2023,5,29]],"date-time":"2023-05-29T17:14:00Z","timestamp":1685380440000},"page":"385-402","source":"Crossref","is-referenced-by-count":0,"title":["Parameter estimation and velocity signal extraction for one-dimensional wave equation with harmonic corrupted boundary observation"],"prefix":"10.1093","volume":"40","author":[{"given":"Shuangxi","family":"Huang","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Shandong Normal University , Jinan 250014 , China"}]},{"given":"Feng-Fei","family":"Jin","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Shandong Normal University , Jinan 250014 , China"}]}],"member":"286","published-online":{"date-parts":[[2023,5,29]]},"reference":[{"key":"2023061613182736000_ref1","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.dsp.2021.102976","article-title":"Narrowband feedback active noise control systems with secondary path modeling using gain-controlled additive random noise","volume":"111","author":"Akhtar","year":"2021","journal-title":"Digital Signal Process."},{"key":"2023061613182736000_ref2","first-page":"pp. 1","article-title":"Novel variational technique for mixed Poisson-Gaussian noise filtering","volume-title":"2021 International Symposium on Signals, Circuits and Systems (ISSCS)","author":"Barbu"},{"key":"2023061613182736000_ref3","doi-asserted-by":"crossref","first-page":"3164","DOI":"10.1016\/j.automatica.2014.10.016","article-title":"Output feedback stabilization of an unstable wave equation with general corrupted boundary observation","volume":"50","author":"Feng","year":"2014","journal-title":"Automatica J. 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