{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,2]],"date-time":"2025-11-02T16:27:34Z","timestamp":1762100854671},"reference-count":33,"publisher":"Springer Science and Business Media LLC","issue":"6","license":[{"start":{"date-parts":[[2008,10,21]],"date-time":"2008-10-21T00:00:00Z","timestamp":1224547200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Neural Comput &amp; Applic"],"published-print":{"date-parts":[[2009,9]]},"DOI":"10.1007\/s00521-008-0203-5","type":"journal-article","created":{"date-parts":[[2008,10,20]],"date-time":"2008-10-20T07:04:53Z","timestamp":1224486293000},"page":"623-631","source":"Crossref","is-referenced-by-count":6,"title":["Neural network training with optimal bounded ellipsoid algorithm"],"prefix":"10.1007","volume":"18","author":[{"given":"Jos\u00e9","family":"de Jes\u00fas Rubio","sequence":"first","affiliation":[]},{"given":"Wen","family":"Yu","sequence":"additional","affiliation":[]},{"given":"Andr\u00e9s","family":"Ferreyra","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2008,10,21]]},"reference":[{"key":"203_CR1","doi-asserted-by":"crossref","first-page":"1039","DOI":"10.1287\/opre.29.6.1039","volume":"29","author":"RG Bland","year":"1981","unstructured":"Bland RG, Goldfarb D, Todd MJ (1981) The ellipsoid method: a survey. Oper Res 29:1039\u20131091","journal-title":"Oper Res"},{"key":"203_CR2","doi-asserted-by":"crossref","first-page":"509","DOI":"10.1002\/acs.756","volume":"31","author":"FN Chowdhury","year":"2003","unstructured":"Chowdhury FN (2003) A new approach to real-time training of dynamic neural networks. Int J Adapt Control Signal Process 31:509\u2013521","journal-title":"Int J Adapt Control Signal Process"},{"issue":"9","key":"203_CR3","doi-asserted-by":"crossref","first-page":"1376","DOI":"10.1109\/TCSI.2002.802345","volume":"49","author":"MV Correa","year":"2002","unstructured":"Correa MV, Aguirre LA, Saldanha RR (2002) Using steady-state prior knowledge to constrain parameter estimates in nonlinear system identification. IEEE Trans Circuits Syst Part I 49(9):1376\u20131381","journal-title":"IEEE Trans Circuits Syst Part I"},{"key":"203_CR4","doi-asserted-by":"crossref","first-page":"542","DOI":"10.1109\/3477.517030","volume":"26","author":"JA Dickerson","year":"1996","unstructured":"Dickerson JA, Kosko B (1996) Fuzzy function approximation with ellipsoidal rules. IEEE Trans Syst Man Cybern 26:542\u2013560","journal-title":"IEEE Trans Syst Man Cybern"},{"issue":"2","key":"203_CR5","doi-asserted-by":"crossref","first-page":"229","DOI":"10.1016\/0005-1098(82)90110-8","volume":"18","author":"E Fogel","year":"1982","unstructured":"Fogel E, Huang YF (1982) On the value of information in system identification: bounded noise case. Automatica 18(2):229\u2013238","journal-title":"Automatica"},{"issue":"11","key":"203_CR6","doi-asserted-by":"crossref","first-page":"348","DOI":"10.1109\/LSP.2002.805312","volume":"9","author":"S Gazor","year":"2002","unstructured":"Gazor S, Shahtalebi K (2002) A new NLMS algorithm for slow noise magnitude variation. IEEE Signal Process Lett 9(11):348\u2013351","journal-title":"IEEE Signal Process Lett"},{"issue":"7","key":"203_CR7","doi-asserted-by":"crossref","first-page":"1084","DOI":"10.1109\/9.935060","volume":"46","author":"Ghaoui El","year":"2001","unstructured":"El Ghaoui (2001) Robust filtering for discrete-time systems with bounded noise and parametric uncertainty. IEEE Trans Autom Control 46(7):1084\u20131089","journal-title":"IEEE Trans Autom Control"},{"key":"203_CR8","unstructured":"Gollamudi S, Nagaraj S, Kapoor S, Huang YF (1996) Set membership state estimation with optimal bounding ellipsoids. In: Proceedings of international symposium on information theory and its applications, Victoria, BC, Canada, pp 262\u2013265"},{"key":"203_CR9","unstructured":"Goodwin GC, Sang Sin K (1984) Adaptive filtering prediction and control. Prentice-Hall, Englewood Cliffis"},{"key":"203_CR10","volume-title":"Neural networks\u2014a comprehensive foundation","author":"S Haykin","year":"1994","unstructured":"Haykin S (1994) Neural networks\u2014a comprehensive foundation. Macmillan, New York"},{"issue":"2","key":"203_CR11","doi-asserted-by":"crossref","first-page":"857","DOI":"10.1016\/S0005-1098(01)00028-0","volume":"37","author":"ZP Jiang","year":"2001","unstructured":"Jiang ZP, Wang Y (2001) Input-to-state stability for discrete-time nonlinear systems. Automatica 37(2):857\u2013869","journal-title":"Automatica"},{"key":"203_CR12","unstructured":"Jin L, Nikiforunk PN, Gupta MM (1999) Adaptive model reference control of discrete-time nonlinear systems using neural networks. Control Theory Adv Technol Part 3 10(4):1373\u20131399"},{"issue":"2","key":"203_CR13","doi-asserted-by":"crossref","first-page":"679","DOI":"10.1109\/TSP.2005.861893","volume":"54","author":"D Joachim","year":"2006","unstructured":"Joachim D, Deller JR (2006) Multiweight optimization in optimal bounding ellipsoid algorithms. IEEE Trans Signal Process 54(2):679\u2013690","journal-title":"IEEE Trans Signal Process"},{"key":"203_CR14","unstructured":"Kapoor S, Gollamudi S, Nagaraj S, Huang YF (1996) Tracking of time-varing parameters using optimal bounding ellipsoid algorithms. In: Proceedings of 34th Allerton conference on communication, control and computing Monticello"},{"issue":"2","key":"203_CR15","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1016\/0098-1354(93)80011-B","volume":"17","author":"NS Kayuri","year":"1993","unstructured":"Kayuri NS, Vienkatasubramanian V (1993) Representing bounded fault classes using neural networks with ellipsoidal activation functions. Comput Chem Eng 17(2):139\u2013163","journal-title":"Comput Chem Eng"},{"issue":"2","key":"203_CR16","doi-asserted-by":"crossref","first-page":"422","DOI":"10.1109\/72.363477","volume":"6","author":"EB Kosmatopoulos","year":"1995","unstructured":"Kosmatopoulos EB, Polycarpou MM, Christodoulou MA, Ioannou PA (1995) High-order neural network structures for identification of dynamical systems. IEEE Trans Neural Netw 6(2):422\u2013431","journal-title":"IEEE Trans Neural Netw"},{"issue":"4","key":"203_CR17","doi-asserted-by":"crossref","first-page":"959","DOI":"10.1109\/78.127966","volume":"40","author":"Y Liguni","year":"1992","unstructured":"Liguni Y, Sakai H, Higekatsu Tokumaru (1992) A real-time learning algorithm for a multilayered neural network based on the extended Kalman filter. IEEE Trans Signal Process 40(4):959\u2013966","journal-title":"IEEE Trans Signal Process"},{"issue":"5","key":"203_CR18","doi-asserted-by":"crossref","first-page":"1684","DOI":"10.1109\/TSP.2005.845436","volume":"53","author":"RG Lorenz","year":"2005","unstructured":"Lorenz RG, Boyd SP (2005) Robust minimum variance beamforming. IEEE Trans Signal Process 53(5):1684\u20131696","journal-title":"IEEE Trans Signal Process"},{"issue":"1","key":"203_CR19","doi-asserted-by":"crossref","first-page":"4","DOI":"10.1109\/72.80202","volume":"1","author":"KS Narendra","year":"1990","unstructured":"Narendra KS, Parthasarathy K (1990) Identification and control of dynamical systems using neural networks. IEEE Trans Neural Netw 1(1):4\u201327","journal-title":"IEEE Trans Neural Netw"},{"key":"203_CR20","unstructured":"Nazin SA, Polyak BT (2001) Limiting behavior of bounding ellipsoids for state estimation. In: Proceedings of the 5th IFAC symposium on nonlinear control systems, St Petersburg, Russia, vol 4\u20136, pp 585\u2013589"},{"issue":"6","key":"203_CR21","doi-asserted-by":"crossref","first-page":"1411","DOI":"10.1109\/72.963777","volume":"12","author":"AG Parlos","year":"2001","unstructured":"Parlos AG, Menon SK, Atiya AF (2001) An algorithm approach to adaptive state filtering using recurrent neural network. IEEE Trans Neural Netw 12(6):1411\u20131432","journal-title":"IEEE Trans Neural Netw"},{"issue":"2","key":"203_CR22","doi-asserted-by":"crossref","first-page":"279","DOI":"10.1109\/72.279191","volume":"5","author":"GV Puskorius","year":"1994","unstructured":"Puskorius GV, Feldkamp LA (1994) Neurocontrol of nonlinear dynamical systems with Kalman filter trained recurrent networks. IEEE Trans Neural Netw 5(2):279\u2013297","journal-title":"IEEE Trans Neural Netw"},{"issue":"4","key":"203_CR23","doi-asserted-by":"crossref","first-page":"430","DOI":"10.1109\/TSMCB.2002.1018763","volume":"32","author":"L Ros","year":"2002","unstructured":"Ros L, Sabater A, Thomas F (2002) An ellipsoidal alculus based on propagation and fusion. IEEE Trans Syst Man Cybern 32(4):430-442","journal-title":"IEEE Trans Syst Man Cybern"},{"key":"203_CR24","unstructured":"Rubio JJ, Yu W (2005) Dead-zone Kalman filter algorithm for recurrent neural networks. In: 44rd IEEE conference on decision and control, CDC\u201905, Seville, Spain, pp 2562\u20132567"},{"issue":"6","key":"203_CR25","doi-asserted-by":"crossref","first-page":"686","DOI":"10.1109\/34.141559","volume":"14","author":"DW Ruck","year":"1992","unstructured":"Ruck DW, Rogers SK, Kabrisky M, Maybeck PS, Oxley ME (1992) Comparative analysis of backpropagation and the extended Kalman filter for training multilayer perceptrons. IEEE Trans Pattern Anal Mach Intell 14(6):686\u2013691","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"issue":"4","key":"203_CR26","doi-asserted-by":"crossref","first-page":"717","DOI":"10.1109\/TAC.1978.1101825","volume":"23","author":"MG Safonov","year":"1978","unstructured":"Safonov MG, Athans M (1978) Robustness and computational aspects of nonlinear stochastic estimators and regulators. IEEE Trans Autom Control 23(4):717\u2013725","journal-title":"IEEE Trans Autom Control"},{"key":"203_CR27","doi-asserted-by":"crossref","first-page":"306","DOI":"10.1109\/72.279193","volume":"5","author":"PS Sastry","year":"1994","unstructured":"Sastry PS, Santharam G, Unnikrishnan KP (1994) Memory neural networks for identification and control of dynamic systems. IEEE Trans Neural Netw 5:306\u2013319","journal-title":"IEEE Trans Neural Netw"},{"key":"203_CR28","volume-title":"Uncertain dynamic systems","author":"FC Schueppe","year":"1973","unstructured":"Schueppe FC (1973) Uncertain dynamic systems. Prentice-Hall, Englewood Cliffs"},{"key":"203_CR29","unstructured":"Singhal S, Wu L (1989) Training multilayer perceptrons with the extended Kalman algorithm. Adv Neural Inf Process Syst I 133\u2013140"},{"key":"203_CR30","doi-asserted-by":"crossref","unstructured":"Weyer E, Campi MC (2000) Non-asymptotic confidence ellipsoids for the least squares estimate. In: 39rd IEEE conference on decision and control, Sydney, Australia, pp 2688\u20132693","DOI":"10.1109\/CDC.2000.914211"},{"key":"203_CR31","unstructured":"Wang LX (1997) A course in fuzzy systems and control. Prentice-Hall, Englewood Cliffs"},{"issue":"1","key":"203_CR32","first-page":"131","volume":"158","author":"W Yu","year":"2002","unstructured":"Yu W (2002) Nonlinear system identification using discrete-time recurrent neural networks with stable learning algorithms. Inf Sci 158(1):131\u2013147","journal-title":"Inf Sci"},{"key":"203_CR33","unstructured":"Yu W, Ferreyra A (2005) On-line clustering for nonlinear system identification using fuzzy neural networks. In: IEEE international conference on fuzzy systems, pp 678\u2013683"}],"container-title":["Neural Computing and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-008-0203-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00521-008-0203-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-008-0203-5","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,29]],"date-time":"2019-05-29T02:06:57Z","timestamp":1559095617000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00521-008-0203-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,10,21]]},"references-count":33,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2009,9]]}},"alternative-id":["203"],"URL":"https:\/\/doi.org\/10.1007\/s00521-008-0203-5","relation":{},"ISSN":["0941-0643","1433-3058"],"issn-type":[{"value":"0941-0643","type":"print"},{"value":"1433-3058","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,10,21]]}}}