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This technique is based on the bilinear discrete transformation and in which the Fourier coefficients are expressed in recurrent form in terms of the Laguerre pole. This latter is estimated by an iterative technique, based on the Newton algorithm. This identification technique is after extended to the case of the ARX-Laguerre model and the MISO-ARX-Laguerre model and its performances are illustrated by numerical simulations.<\/jats:p>","DOI":"10.1177\/0142331216687020","type":"journal-article","created":{"date-parts":[[2017,3,14]],"date-time":"2017-03-14T03:01:25Z","timestamp":1489460485000},"page":"1510-1520","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":6,"title":["Reduced model of linear systems via Laguerre filters"],"prefix":"10.1177","volume":"40","author":[{"given":"Ameni","family":"El Anes","sequence":"first","affiliation":[{"name":"Research Laboratory of Automatic, Signal and Image Processing, National School of Engineers Monastir, Tunisia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kais","family":"Bouzrara","sequence":"additional","affiliation":[{"name":"Research Laboratory of Automatic, Signal and Image Processing, National School of Engineers Monastir, Tunisia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jos\u00e9","family":"Ragot","sequence":"additional","affiliation":[{"name":"Research Centre for Automatic Control of Nancy, France"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2017,3,14]]},"reference":[{"key":"bibr1-0142331216687020","doi-asserted-by":"publisher","DOI":"10.1007\/s12206-014-0348-3"},{"key":"bibr2-0142331216687020","doi-asserted-by":"publisher","DOI":"10.1109\/ACC.2015.7171841"},{"key":"bibr3-0142331216687020","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2007.02.013"},{"key":"bibr4-0142331216687020","unstructured":"Arnold CR (1966) Laguerre functions and the Laguerre network: Their properties and digital simulation. 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