{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,7]],"date-time":"2025-11-07T13:32:29Z","timestamp":1762522349881},"reference-count":22,"publisher":"Oxford University Press (OUP)","issue":"3","license":[{"start":{"date-parts":[[2019,11,14]],"date-time":"2019-11-14T00:00:00Z","timestamp":1573689600000},"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":[[2020,9,16]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>This paper deals with the input\u2013output linearization of non-linear time-varying delay systems. We introduce an extension of the Lie derivative for time-varying delay systems and derive sufficient conditions for the existence of a causal and bounded non-linear feedback linearizing the input\u2013output behaviour of the system. Sufficient conditions ensuring the internal stability after output stabilization are also presented. Finally, several examples illustrating our main results are discussed.<\/jats:p>","DOI":"10.1093\/imamci\/dnz030","type":"journal-article","created":{"date-parts":[[2019,9,4]],"date-time":"2019-09-04T19:28:53Z","timestamp":1567625333000},"page":"831-854","source":"Crossref","is-referenced-by-count":6,"title":["Input\u2013output linearization of non-linear time-varying delay systems: the single-input single-output case"],"prefix":"10.1093","volume":"37","author":[{"given":"Ihab","family":"Haidar","sequence":"first","affiliation":[{"name":"Quartz EA 7393, ENSEA, 6 Avenue du Ponceau 95014, Cergy-Pontoise Cedex, France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Florentina","family":"Nicolau","sequence":"additional","affiliation":[{"name":"Quartz EA 7393, ENSEA, 6 Avenue du Ponceau 95014, Cergy-Pontoise Cedex, France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jean-Pierre","family":"Barbot","sequence":"additional","affiliation":[{"name":"Quartz EA 7393, ENSEA, 6 Avenue du Ponceau 95014, Cergy-Pontoise Cedex, France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Woihida","family":"Aggoune","sequence":"additional","affiliation":[{"name":"Quartz EA 7393, ENSEA, 6 Avenue du Ponceau 95014, Cergy-Pontoise Cedex, France"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"286","published-online":{"date-parts":[[2019,11,14]]},"reference":[{"key":"2021060110091806400_ref1","doi-asserted-by":"crossref","first-page":"873","DOI":"10.1093\/imamci\/dnv012","article-title":"Input-state feedback linearization for a class of single-input nonlinear time-delay systems","volume":"33","author":"Baibeche","year":"2016","journal-title":"IMA J. 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