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In the first one, we suggest a new approach to fractional-order systems modelling. This model is represented by an explicit transfer function based on the multi-model approach. In the second contribution, a new method of computation of the validity of library models, according to the frequency [Formula: see text], is exposed. Finally, a global model is obtained by fusion of library models weighted by their respective validities. Illustrative examples are presented to show the advantages and the quality of the proposed strategy.<\/jats:p>","DOI":"10.1177\/0142331216655396","type":"journal-article","created":{"date-parts":[[2016,7,14]],"date-time":"2016-07-14T03:10:57Z","timestamp":1468465857000},"page":"331-340","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":5,"title":["The multi-model approach for fractional-order systems modelling"],"prefix":"10.1177","volume":"40","author":[{"given":"Samia","family":"Talmoudi","sequence":"first","affiliation":[{"name":"National Engineering School of Tunis, Tunis El Manar University, Tunisia"},{"name":"Tabuk Community College, University of Tabuk, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Moufida","family":"Lahmari","sequence":"additional","affiliation":[{"name":"National Engineering School of Tunis, Tunis El Manar University, Tunisia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2016,7,13]]},"reference":[{"key":"bibr1-0142331216655396","doi-asserted-by":"publisher","DOI":"10.1155\/2014\/529358"},{"key":"bibr2-0142331216655396","first-page":"1614","volume":"5","author":"Bensafia Y","year":"2011","journal-title":"International Journal of Sciences and Techniques of Automatic Control and Computer Engineering IJ-STA"},{"key":"bibr3-0142331216655396","doi-asserted-by":"publisher","DOI":"10.1016\/j.neunet.2015.07.012"},{"key":"bibr4-0142331216655396","doi-asserted-by":"publisher","DOI":"10.2478\/v10006-007-0037-9"},{"issue":"2","key":"bibr5-0142331216655396","doi-asserted-by":"crossref","first-page":"479","DOI":"10.2478\/s13540-013-0030-y","volume":"16","author":"Machado T","year":"2013","journal-title":"Fractional Calculus and Applied Analysis"},{"key":"bibr6-0142331216655396","author":"Oustaloup A","year":"1993","journal-title":"Syst\u00e8mes asservis lin\u00e9aires d\u2019ordre fractionnaire, th\u00e9orie et pratique"},{"key":"bibr7-0142331216655396","author":"Oustaloup A","year":"1995","journal-title":"La d\u00e9rivation non enti\u00e8re: th\u00e9orie, synth\u00e8se et applications"},{"key":"bibr8-0142331216655396","doi-asserted-by":"publisher","DOI":"10.1109\/81.817385"},{"key":"bibr9-0142331216655396","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-31549-7"},{"key":"bibr10-0142331216655396","volume-title":"Fractional Differential Equations","author":"Podlubny I","year":"1999"},{"key":"bibr11-0142331216655396","doi-asserted-by":"publisher","DOI":"10.1016\/j.mejo.2012.06.009"},{"issue":"3","key":"bibr12-0142331216655396","first-page":"299","volume":"8","author":"Talmoudi S","year":"2008","journal-title":"Nonlinear Dynamics and Systems Theory"},{"key":"bibr13-0142331216655396","doi-asserted-by":"publisher","DOI":"10.1109\/ICMA.2006.257769"},{"key":"bibr14-0142331216655396","doi-asserted-by":"publisher","DOI":"10.22436\/jmcs.09.04.02"},{"key":"bibr15-0142331216655396","doi-asserted-by":"publisher","DOI":"10.3390\/e15051624"}],"container-title":["Transactions of the Institute of Measurement and Control"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/0142331216655396","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.1177\/0142331216655396","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/0142331216655396","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T14:53:32Z","timestamp":1777647212000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.1177\/0142331216655396"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,7,13]]},"references-count":15,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2018,1]]}},"alternative-id":["10.1177\/0142331216655396"],"URL":"https:\/\/doi.org\/10.1177\/0142331216655396","relation":{},"ISSN":["0142-3312","1477-0369"],"issn-type":[{"value":"0142-3312","type":"print"},{"value":"1477-0369","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,7,13]]}}}