{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T00:27:20Z","timestamp":1777422440039,"version":"3.51.4"},"reference-count":48,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"3","license":[{"start":{"date-parts":[[2015,3,1]],"date-time":"2015-03-01T00:00:00Z","timestamp":1425168000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"}],"funder":[{"name":"National Basic Research Program 973 of China","award":["2011CB013104"],"award-info":[{"award-number":["2011CB013104"]}]},{"DOI":"10.13039\/501100001809","name":"National Nature Science Foundation of China","doi-asserted-by":"crossref","award":["61203106"],"award-info":[{"award-number":["61203106"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100001809","name":"National Nature Science Foundation of China","doi-asserted-by":"crossref","award":["71271215"],"award-info":[{"award-number":["71271215"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100001809","name":"National Nature Science Foundation of China","doi-asserted-by":"crossref","award":["71221061"],"award-info":[{"award-number":["71221061"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"name":"International Science and Technology Cooperation Program of China","award":["2011DFA10440"],"award-info":[{"award-number":["2011DFA10440"]}]},{"name":"Collaborative Innovation Center of Resource-Conserving and Environment-Friendly Society and Ecological Civilization"},{"DOI":"10.13039\/501100002858","name":"China Post-Doctoral Science Foundation","doi-asserted-by":"publisher","award":["2012M521216"],"award-info":[{"award-number":["2012M521216"]}],"id":[{"id":"10.13039\/501100002858","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Cybern."],"published-print":{"date-parts":[[2015,3]]},"DOI":"10.1109\/tcyb.2014.2328438","type":"journal-article","created":{"date-parts":[[2014,6,26]],"date-time":"2014-06-26T14:35:46Z","timestamp":1403793346000},"page":"462-471","source":"Crossref","is-referenced-by-count":94,"title":["A Variable Projection Approach for Efficient Estimation of RBF-ARX Model"],"prefix":"10.1109","volume":"45","author":[{"given":"Min","family":"Gan","sequence":"first","affiliation":[]},{"family":"Han-Xiong Li","sequence":"additional","affiliation":[]},{"family":"Hui Peng","sequence":"additional","affiliation":[]}],"member":"263","reference":[{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1007\/BF01932995"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1109\/TNN.2010.2045657"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1137\/0111030"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2013.2267893"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2012.01.039"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1016\/S0893-6080(02)00215-0"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1109\/TNN.2006.880860"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1109\/TNN.2002.1031951"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1109\/TNN.2002.1031939"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1109\/72.329697"},{"key":"ref10","first-page":"8","article-title":"The nonlinear system identification method for advanced control of the fossil power plants","author":"toyoda","year":"1997","journal-title":"Proc 11th IFAC Symp Syst Identification"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1109\/72.701180"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1109\/87.987071"},{"key":"ref12","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1109\/ICASSP.1993.319452","article-title":"An amplitude-dependent autoregressive signal model based on a radial basis function expansion","author":"vesin","year":"1993","journal-title":"Proc ICASSP"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/TNN.2003.809395"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2010.5716950"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2011.08.055"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1109\/TSMCA.2005.855920"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1016\/j.engappai.2006.05.012"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1109\/TCST.2006.883339"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1016\/j.conengprac.2008.05.005"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1109\/TNN.2002.804286"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/19\/2\/201"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1198\/016214501753208636"},{"key":"ref3","first-page":"345","article-title":"Separable nonlinear least squares minimization—Possible improvements for neural net fitting","author":"sj\u00f6berg","year":"1997","journal-title":"Proc IEEE Workshop Neural Netw Signal Process"},{"key":"ref6","doi-asserted-by":"crossref","first-page":"371","DOI":"10.1109\/TNN.2007.911739","article-title":"Training two-layered feedforward networks with variable projection method","volume":"19","author":"kim","year":"2008","journal-title":"IEEE Trans Neural Netw"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2005.852557"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1080\/00207720210155062"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.2307\/3212926"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-9892.1980.tb00300.x"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1145\/360860.360914"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.2307\/2335819"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1137\/0710036"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1080\/00207170110089770"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2011.01.002"},{"key":"ref45","author":"zhu","year":"2001","journal-title":"Multivariable System Identification for Process Control"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2010.07.012"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1109\/CCA.2010.5611341"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1016\/j.jprocont.2006.02.002"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1016\/S0967-0661(03)00050-9"},{"key":"ref42","author":"orr","year":"1996","journal-title":"Introduction to Radial Basis Function Networks"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/72.80341"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.2307\/1392186"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/TCST.2008.922507"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1080\/00207720512331338120"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1109\/TSMCB.2011.2168604"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1016\/S0893-6080(98)00117-8"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2005.12.126"}],"container-title":["IEEE Transactions on Cybernetics"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/6221036\/7041256\/06844855.pdf?arnumber=6844855","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,1,12]],"date-time":"2022-01-12T11:41:02Z","timestamp":1641987662000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/6844855\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,3]]},"references-count":48,"journal-issue":{"issue":"3"},"URL":"https:\/\/doi.org\/10.1109\/tcyb.2014.2328438","relation":{},"ISSN":["2168-2267","2168-2275"],"issn-type":[{"value":"2168-2267","type":"print"},{"value":"2168-2275","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,3]]}}}