{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,8]],"date-time":"2026-01-08T23:02:38Z","timestamp":1767913358182,"version":"3.49.0"},"reference-count":53,"publisher":"Oxford University Press (OUP)","issue":"4","license":[{"start":{"date-parts":[[2020,7,28]],"date-time":"2020-07-28T00:00:00Z","timestamp":1595894400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/journals\/pages\/open_access\/funder_policies\/chorus\/standard_publication_model"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2020,12,16]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>We discuss boundary control of a wave equation with a non-linear anti-damping boundary condition. We design structured finite-dimensional $H_{\\infty }$-output feedback controllers that stabilize the infinite-dimensional system exponentially in closed loop. The method is applied to control torsional vibrations in drilling systems with the goal to avoid slip-stick.<\/jats:p>","DOI":"10.1093\/imamci\/dnaa017","type":"journal-article","created":{"date-parts":[[2020,7,2]],"date-time":"2020-07-02T19:13:22Z","timestamp":1593717202000},"page":"1367-1399","source":"Crossref","is-referenced-by-count":2,"title":["Boundary feedback control of an anti-stable wave equation"],"prefix":"10.1093","volume":"37","author":[{"given":"Pierre","family":"APKARIAN","sequence":"first","affiliation":[{"name":"Department of System Dynamics, ONERA, 2, av. Ed. Belin, 31055 Toulouse, France"}]},{"given":"Dominikus","family":"NOLL","sequence":"additional","affiliation":[{"name":"Institut de Math\u00e9matiques, Universit\u00e9 de Toulouse, 118, route de Narbonne, 31062 Toulouse, France"}]}],"member":"286","published-online":{"date-parts":[[2020,7,28]]},"reference":[{"key":"2020121600435331100_ref1","doi-asserted-by":"crossref","first-page":"24","DOI":"10.1016\/j.jprocont.2018.07.019","article-title":"Avoiding stick slip vibrations in drilling through startup trajectory design","volume":"70","author":"Aarsnes","year":"2018","journal-title":"J. Process Control"},{"key":"2020121600435331100_ref3","doi-asserted-by":"crossref","first-page":"1857","DOI":"10.1109\/TAC.2015.2396644","article-title":"Parametric robust structured control design","volume":"60","author":"Apkarian","year":"2015","journal-title":"IEEE Trans. Automat. 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