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However, any used cost function for the purpose of Wiener time-delay system identification presents several difficulties in terms of nonlinearity and inaccessible measurements. In fact, the hierarchical approach, the rounding property and the auxiliary model approach are suggested as solutions to overcome these difficulties. These solutions allow us to transform the cost function to be minimized into two simple cost functions that are minimized using the conjugate gradient algorithm with different choices of its main parameters. Simulation results are presented to illustrate the performance of the proposed approach.<\/jats:p>","DOI":"10.1177\/0142331216674772","type":"journal-article","created":{"date-parts":[[2016,11,14]],"date-time":"2016-11-14T21:35:33Z","timestamp":1479159333000},"page":"1035-1045","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":7,"title":["System identification: Parameter and time-delay estimation for Wiener nonlinear systems with delayed input"],"prefix":"10.1177","volume":"40","author":[{"given":"Asma","family":"Atitallah","sequence":"first","affiliation":[{"name":"Research Unit: Numerical Control of Industrial Processes (UCONPRI), National School of Engineers of Gabes, University of Gabes, Tunisia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sa\u00efda","family":"Bedoui","sequence":"additional","affiliation":[{"name":"Research Unit: Numerical Control of Industrial Processes (UCONPRI), National School of Engineers of Gabes, University of Gabes, Tunisia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kamel","family":"Abderrahim","sequence":"additional","affiliation":[{"name":"Research Unit: Numerical Control of Industrial Processes (UCONPRI), National School of Engineers of Gabes, University of Gabes, Tunisia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2016,11,16]]},"reference":[{"key":"bibr1-0142331216674772","volume-title":"Practical Optimization, Algorithms and Engineering Applications","author":"Antoniou A","year":"2007"},{"key":"bibr2-0142331216674772","doi-asserted-by":"publisher","DOI":"10.1016\/j.ifacol.2015.05.040"},{"key":"bibr3-0142331216674772","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2013.6760596"},{"key":"bibr4-0142331216674772","doi-asserted-by":"publisher","DOI":"10.1002\/9781118535561"},{"key":"bibr5-0142331216674772","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2005.864183"},{"key":"bibr6-0142331216674772","doi-asserted-by":"publisher","DOI":"10.1007\/BF00935546"},{"key":"bibr7-0142331216674772","doi-asserted-by":"publisher","DOI":"10.3182\/20050703-6-CZ-1902.01627"},{"key":"bibr8-0142331216674772","doi-asserted-by":"publisher","DOI":"10.1137\/S1052623497318992"},{"key":"bibr9-0142331216674772","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2004.05.001"},{"key":"bibr10-0142331216674772","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2005.843856"},{"key":"bibr11-0142331216674772","doi-asserted-by":"publisher","DOI":"10.1002\/acs.1141"},{"key":"bibr12-0142331216674772","doi-asserted-by":"publisher","DOI":"10.1007\/s00034-012-9463-5"},{"key":"bibr13-0142331216674772","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-005-1850-z"},{"key":"bibr14-0142331216674772","doi-asserted-by":"publisher","DOI":"10.1016\/j.sysconle.2006.10.026"},{"key":"bibr15-0142331216674772","doi-asserted-by":"publisher","DOI":"10.1002\/9781118723203"},{"key":"bibr16-0142331216674772","doi-asserted-by":"publisher","DOI":"10.1093\/comjnl\/7.2.149"},{"key":"bibr17-0142331216674772","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-84996-513-2"},{"key":"bibr18-0142331216674772","doi-asserted-by":"crossref","unstructured":"Guo F (2004) A new identification method for Wiener and Hammerstein systems. 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