{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,24]],"date-time":"2026-03-24T12:29:51Z","timestamp":1774355391935,"version":"3.50.1"},"reference-count":11,"publisher":"Elsevier BV","issue":"3","license":[{"start":{"date-parts":[[2000,4,1]],"date-time":"2000-04-01T00:00:00Z","timestamp":954547200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Neural Networks"],"published-print":{"date-parts":[[2000,4]]},"DOI":"10.1016\/s0893-6080(00)00013-7","type":"journal-article","created":{"date-parts":[[2002,7,26]],"date-time":"2002-07-26T02:36:39Z","timestamp":1027650999000},"page":"385-396","source":"Crossref","is-referenced-by-count":77,"title":["Multilayer neural networks for solving a class of partial differential equations"],"prefix":"10.1016","volume":"13","author":[{"given":"S.","family":"He","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"K.","family":"Reif","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"R.","family":"Unbehauen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0893-6080(00)00013-7_BIB1","doi-asserted-by":"crossref","first-page":"40","DOI":"10.1109\/TAC.1986.1104100","article-title":"Feedback control of nonlinear systems by extended linearization","volume":"AC-31","author":"Baumann","year":"1986","journal-title":"IEEE Transactions on Automatic Control"},{"key":"10.1016\/S0893-6080(00)00013-7_BIB2","series-title":"Neural networks for optimisation and signal processing","author":"Cichocki","year":"1993"},{"key":"10.1016\/S0893-6080(00)00013-7_BIB3","first-page":"2238","article-title":"Nonlinear system control via feedback linearization using neural networks","author":"Fattah","year":"1996","journal-title":"ICNN96 Washington DC"},{"key":"10.1016\/S0893-6080(00)00013-7_BIB4","doi-asserted-by":"crossref","first-page":"989","DOI":"10.1109\/72.329697","article-title":"Training feedforward networks with the Marquardt Algorithm","volume":"5","author":"Hagan","year":"1994","journal-title":"IEEE Transactions on Neural Networks"},{"key":"10.1016\/S0893-6080(00)00013-7_BIB5","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1016\/0167-6911(91)90041-C","article-title":"Nonlinear control via uniform system approximation","volume":"17","author":"Hauser","year":"1991","journal-title":"System and Control Letters"},{"issue":"3","key":"10.1016\/S0893-6080(00)00013-7_BIB6","doi-asserted-by":"crossref","first-page":"392","DOI":"10.1109\/9.119645","article-title":"Nonlinear control via approximate input\u2013output linearization: the ball and beam example","volume":"37","author":"Hauser","year":"1992","journal-title":"IEEE Transactions on Automatic Control"},{"key":"10.1016\/S0893-6080(00)00013-7_BIB7","series-title":"Approximate feedback linearisation using multilayer neural networks","volume":"8(2)","author":"He","year":"1998"},{"key":"10.1016\/S0893-6080(00)00013-7_BIB8","series-title":"Nonlinear control systems","author":"Isidori","year":"1995"},{"key":"10.1016\/S0893-6080(00)00013-7_BIB9","doi-asserted-by":"crossref","first-page":"181","DOI":"10.1016\/S0167-6911(84)80100-0","article-title":"Approximate linearization by state feedback and coordinate change","volume":"5","author":"Krener","year":"1984","journal-title":"System and Control Letters"},{"key":"10.1016\/S0893-6080(00)00013-7_BIB10","series-title":"Optimal control","author":"Lewis","year":"1986"},{"key":"10.1016\/S0893-6080(00)00013-7_BIB11","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1016\/0167-6911(89)90009-1","article-title":"On the pseudolinearization problem for nonlinear systems","volume":"12","author":"Wang","year":"1989","journal-title":"System and Control Letters"}],"container-title":["Neural Networks"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0893608000000137?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0893608000000137?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,14]],"date-time":"2019-04-14T11:55:33Z","timestamp":1555242933000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0893608000000137"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2000,4]]},"references-count":11,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2000,4]]}},"alternative-id":["S0893608000000137"],"URL":"https:\/\/doi.org\/10.1016\/s0893-6080(00)00013-7","relation":{},"ISSN":["0893-6080"],"issn-type":[{"value":"0893-6080","type":"print"}],"subject":[],"published":{"date-parts":[[2000,4]]}}}