{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,10,1]],"date-time":"2024-10-01T04:26:54Z","timestamp":1727756814027},"reference-count":35,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2022,8,4]],"date-time":"2022-08-04T00:00:00Z","timestamp":1659571200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2022,8,4]],"date-time":"2022-08-04T00:00:00Z","timestamp":1659571200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Circuits Syst Signal Process"],"published-print":{"date-parts":[[2023,1]]},"DOI":"10.1007\/s00034-022-02128-x","type":"journal-article","created":{"date-parts":[[2022,8,4]],"date-time":"2022-08-04T18:02:37Z","timestamp":1659636157000},"page":"405-430","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Convergence Analysis of Forgetting Factor Least Squares Algorithm for ARMAX Time-Delay Models"],"prefix":"10.1007","volume":"42","author":[{"given":"Sa\u00efda","family":"Bedoui","sequence":"first","affiliation":[]},{"given":"Kamel","family":"Abderrahim","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,8,4]]},"reference":[{"key":"2128_CR1","doi-asserted-by":"publisher","first-page":"227340","DOI":"10.1109\/ACCESS.2020.3044973","volume":"8","author":"M Almalki","year":"2020","unstructured":"M. Almalki, E. Alaidarous, D. Maturi, M. Raja, M. Shoaib, A Levenberg\u2013Marquardt backpropagation neural network for the numerical treatment of squeezing flow with heat transfer model. IEEE Access 8, 227340\u2013227348 (2020)","journal-title":"IEEE Access"},{"key":"2128_CR2","doi-asserted-by":"crossref","unstructured":"S.\u00a0Bedoui, K.\u00a0Abderrahim, ARMAX time delay systems identification based on least square approach, in Proceedings of the$$17^{th}$$IFAC Symposium on System Identification, China (2015)","DOI":"10.1016\/j.ifacol.2015.12.278"},{"key":"2128_CR3","doi-asserted-by":"crossref","unstructured":"S.\u00a0Bedoui, M.\u00a0Ltaief, K.\u00a0Abderrahim, A new recursive algorithm for simultaneous identification of discrete time delay systems, in Proceedings of the 16th IFAC Symposium on System Identification (SYSID 2012), Brussel, Belgium (2012)","DOI":"10.3182\/20120711-3-BE-2027.00146"},{"issue":"6","key":"2128_CR4","doi-asserted-by":"publisher","first-page":"570","DOI":"10.1007\/s11633-012-0681-x","volume":"9","author":"S Bedoui","year":"2012","unstructured":"S. Bedoui, M. Ltaief, K. Abderrahim, New results on discrete time delay systems. Int. J. Autom. Comput. IJAC 9(6), 570\u2013577 (2012)","journal-title":"Int. J. Autom. Comput. IJAC"},{"key":"2128_CR5","doi-asserted-by":"crossref","unstructured":"S.\u00a0Bedoui, M.\u00a0Ltaief, K.\u00a0Abderrahim, Using a recursive least square algorithm for identification of interconnected linear discrete-time delay multivariable systems, in Proceedings of the 17th IEEE International Conference on Methods & Models in Automation & Robotics (MMAR2012), Miedzyzdroje, Poland (2012)","DOI":"10.1109\/MMAR.2012.6347884"},{"key":"2128_CR6","doi-asserted-by":"publisher","first-page":"109052","DOI":"10.1016\/j.automatica.2020.109052","volume":"119","author":"AL Bruce","year":"2020","unstructured":"A.L. Bruce, A. Goel, D.S. Bernstein, Convergence and consistency of recursive least squares with variable-rate forgetting. Automatica 119, 109052 (2020)","journal-title":"Automatica"},{"issue":"9","key":"2128_CR7","doi-asserted-by":"publisher","first-page":"1281","DOI":"10.1177\/1077546310376989","volume":"17","author":"J Chen","year":"2011","unstructured":"J. Chen, F. Ding, Modified stochastic gradient identification algorithms with fast convergence rates. J. Vib. Control 17(9), 1281\u20131286 (2011)","journal-title":"J. Vib. Control"},{"key":"2128_CR8","doi-asserted-by":"crossref","unstructured":"W.\u00a0Chen, G.\u00a0Han, W.\u00a0Qiu, D.\u00a0Zheng, Modeling of outlet temperature of the first-stage cyclone preheater in cement firing system using data-driven ARMAX models, in 2019 IEEE 3rd Advanced Information Management, Communicates, Electronic and Automation Control Conference (IMCEC), pp. 472\u2013477 (2019)","DOI":"10.1109\/IMCEC46724.2019.8983997"},{"issue":"3","key":"2128_CR9","doi-asserted-by":"publisher","first-page":"1041","DOI":"10.1109\/TSP.2005.862845","volume":"54","author":"F Ding","year":"2006","unstructured":"F. Ding, Y. Shi, T. Chen, Performance analysis of estimation algorithms of nonstationary ARMA processes. IEEE Trans. Signal Process. 54(3), 1041\u20131053 (2006)","journal-title":"IEEE Trans. Signal Process."},{"issue":"20","key":"2128_CR10","doi-asserted-by":"publisher","first-page":"16279","DOI":"10.1007\/s00521-020-05161-6","volume":"32","author":"O Erkaymaz","year":"2020","unstructured":"O. Erkaymaz, Resilient back-propagation approach in small-world feed-forward neural network topology based on Newman\u2013Watts algorithm. Neural Comput. Appl. 32(20), 16279\u201316289 (2020)","journal-title":"Neural Comput. Appl."},{"key":"2128_CR11","doi-asserted-by":"crossref","unstructured":"W.\u00a0Gao, M.\u00a0L. Zhou, Y.\u00a0C. Li, T.\u00a0Zhang, An adaptive generalized predictive control of time varying delay system, in Proceedings of the Second World Conference on Machine Learning and Cybernetics, Xi\u2019an, Shanghai, pp. 878\u2013881 (2004)","DOI":"10.1109\/ICMLC.2004.1382309"},{"issue":"1","key":"2128_CR12","doi-asserted-by":"publisher","first-page":"79","DOI":"10.1109\/9.481609","volume":"41","author":"L Guo","year":"1996","unstructured":"L. Guo, Self-convergence of weighted least-squares with applications to stochastic adaptive control. IEEE Trans. Autom. Control 41(1), 79\u201389 (1996)","journal-title":"IEEE Trans. Autom. Control"},{"key":"2128_CR13","unstructured":"L.\u00a0Guo, H.F. Chen, Identification and Stochastic Adaptive Control. Systems & Control: Foundations & Applications (1991)"},{"issue":"1","key":"2128_CR14","doi-asserted-by":"publisher","first-page":"334","DOI":"10.1016\/j.engappai.2012.02.004","volume":"26","author":"J Herrera","year":"2013","unstructured":"J. Herrera, A. Ibeas, M. de la Sen, Identification and control of integrative MIMO systems using pattern search algorithms: an application to irrigation channels. Eng. Appl. Artif. Intell. 26(1), 334\u2013346 (2013)","journal-title":"Eng. Appl. Artif. Intell."},{"key":"2128_CR15","doi-asserted-by":"crossref","unstructured":"D.\u00a0Huang, L.\u00a0Guo, Estimation of nonstationary ARMAX models based on the Hannan\u2013Rissanen method. Ann. Stat. 1729\u20131756 (1990)","DOI":"10.1214\/aos\/1176347875"},{"issue":"8","key":"2128_CR16","doi-asserted-by":"publisher","first-page":"2242","DOI":"10.1109\/TAC.2014.2373711","volume":"60","author":"L Huang","year":"2015","unstructured":"L. Huang, H. Hjalmarsson, A multi-time-scale generalization of recursive identification algorithm for ARMAX systems. IEEE Trans. Autom. Control 60(8), 2242\u20132247 (2015)","journal-title":"IEEE Trans. Autom. Control"},{"issue":"2","key":"2128_CR17","doi-asserted-by":"publisher","first-page":"404","DOI":"10.1016\/j.ejor.2014.01.059","volume":"237","author":"R H\u00fcbner","year":"2014","unstructured":"R. H\u00fcbner, A. Sch\u00f6bel, When is rounding allowed in integer nonlinear optimization? Eur. J. Oper. Res. 237(2), 404\u2013410 (2014)","journal-title":"Eur. J. Oper. Res."},{"key":"2128_CR18","unstructured":"I.D. Landau, Commande des syst\u00e8mes-conception, identification et mise en oeuvre. Herm\u00e8s Sience Publications (2002)"},{"issue":"15","key":"2128_CR19","doi-asserted-by":"publisher","first-page":"7401","DOI":"10.1016\/j.jfranklin.2018.07.025","volume":"355","author":"X Liu","year":"2018","unstructured":"X. Liu, X. Yang, W. Xiong, A robust global approach for LPV-FIR model identification with time-varying time delays. J. Frankl. Inst. 355(15), 7401\u20137416 (2018)","journal-title":"J. Frankl. Inst."},{"key":"2128_CR20","doi-asserted-by":"crossref","unstructured":"L.\u00a0Ljung, System identification in a noise free environment. In Adaptive Systems in Control and Signal Processing 1989, pp. 411\u2013420. Elsevier (1990)","DOI":"10.1016\/B978-0-08-035727-0.50075-5"},{"issue":"5","key":"2128_CR21","doi-asserted-by":"publisher","first-page":"359","DOI":"10.1049\/ip-cta:19990502","volume":"146","author":"S Majhi","year":"1999","unstructured":"S. Majhi, D. Atherton, Modified smith predictor and controller for processes with time delay. IEEE Proc. Control Theory Appl. 146(5), 359\u2013366 (1999)","journal-title":"IEEE Proc. Control Theory Appl."},{"key":"2128_CR22","doi-asserted-by":"publisher","first-page":"302","DOI":"10.1016\/j.isatra.2019.03.016","volume":"93","author":"A Messaoud","year":"2019","unstructured":"A. Messaoud, S. Ben Atia, R. Ben Abdennour, An unknown input multiobserver based on a discrete uncoupled multimodel for uncertain nonlinear systems: experimental validation on a transesterification reactor. ISA Trans. 93, 302\u2013311 (2019)","journal-title":"ISA Trans."},{"key":"2128_CR23","unstructured":"O.\u00a0Nelles, Nonlinear System Identification: From Classical Approach to Neural Networks and Fuzzy Models. Springer (2001)"},{"issue":"5","key":"2128_CR24","first-page":"1","volume":"43","author":"GCS Neto","year":"2021","unstructured":"G.C.S. Neto, D.S. Chui, F.P. Martins, A.T. Fleury, F. Furnari, F.C. Trigo, Identification of co emissions dynamics in a natural gas furnace through flame images, ARMAX models, and Kalman filtering. J. Braz. Soc. Mech. Sci. Eng. 43(5), 1\u201313 (2021)","journal-title":"J. Braz. Soc. Mech. Sci. Eng."},{"key":"2128_CR25","doi-asserted-by":"crossref","unstructured":"A.\u00a0Niederlinski, Theory and practice of recursive identification, the MIT Press, Cambridge, Massachusetts, London, England, 1983. price:\u00a3 45.00. no. of pages: 529. Optim. Control Appl. Methods 6(1), 71\u201372 (1985)","DOI":"10.1002\/oca.4660060109"},{"key":"2128_CR26","doi-asserted-by":"crossref","unstructured":"B.\u00a0Petschel, K.\u00a0Soltani\u00a0Naveh, P.\u00a0McAree, Convergence properties of the Kalman inverse filter. J. Dyn. Syst. Meas. Control 140(6) (2018)","DOI":"10.1115\/1.4038267"},{"key":"2128_CR27","unstructured":"T.\u00a0S\u00f6derstr\u00f6m, P.\u00a0Stoica, System Identification. Prentice Hall International, Series in Systems and Control Engineering (1989)"},{"issue":"4","key":"2128_CR28","doi-asserted-by":"publisher","first-page":"379","DOI":"10.1080\/23307706.2019.1623097","volume":"7","author":"H Wang","year":"2020","unstructured":"H. Wang, L. Xie, Convergence analysis of a least squared algorithm of linear switched identification. J. Control Decis. 7(4), 379\u2013396 (2020)","journal-title":"J. Control Decis."},{"issue":"1","key":"2128_CR29","doi-asserted-by":"publisher","first-page":"509","DOI":"10.1002\/asjc.1747","volume":"21","author":"AG Wu","year":"2019","unstructured":"A.G. Wu, F.Z. Fu, R.Q. Dong, Convergence analysis of weighted stochastic gradient identification algorithms based on latest-estimation for ARX models. Asian J. Control 21(1), 509\u2013519 (2019)","journal-title":"Asian J. Control"},{"key":"2128_CR30","doi-asserted-by":"publisher","first-page":"2207","DOI":"10.1016\/j.apm.2007.07.003","volume":"32","author":"Y Xiao","year":"2008","unstructured":"Y. Xiao, F. Ding, Y. Zhou, M. Li, J. Dai, On consistency of recursive least squares identification algorithms for controlled auto-regression models. Appl. Math. Model. 32, 2207\u20132215 (2008)","journal-title":"Appl. Math. Model."},{"issue":"2","key":"2128_CR31","doi-asserted-by":"publisher","first-page":"228","DOI":"10.1049\/iet-spr.2016.0220","volume":"11","author":"L Xu","year":"2016","unstructured":"L. Xu, F. Ding, Parameter estimation algorithms for dynamical response signals based on the multi-innovation theory and the hierarchical principle. IET Signal Process. 11(2), 228\u2013237 (2016)","journal-title":"IET Signal Process."},{"issue":"4","key":"2128_CR32","doi-asserted-by":"publisher","first-page":"2090","DOI":"10.1016\/j.jfranklin.2018.11.019","volume":"356","author":"L Yin","year":"2019","unstructured":"L. Yin, H. Gao, Moving horizon estimation for ARMAX processes with additive output noise. J. Frank. Inst. 356(4), 2090\u20132110 (2019)","journal-title":"J. Frank. Inst."},{"issue":"7","key":"2128_CR33","doi-asserted-by":"publisher","first-page":"865","DOI":"10.1049\/iet-cta.2017.1204","volume":"12","author":"L Yin","year":"2018","unstructured":"L. Yin, S. Liu, H. Gao, Regularised estimation for ARMAX process with measurements subject to outliers. IET Control Theory Appl. 12(7), 865\u2013874 (2018)","journal-title":"IET Control Theory Appl."},{"key":"2128_CR34","doi-asserted-by":"crossref","unstructured":"Z.\u00a0Yue, Z.\u00a0Songzheng, L.\u00a0Tianshi, Bayesian regularization BP Neural Network model for predicting oil\u2013gas drilling cost, in 2011 International Conference on Business Management and Electronic Information, vol.\u00a02, pp. 483\u2013487. IEEE (2011)","DOI":"10.1109\/ICBMEI.2011.5917952"},{"key":"2128_CR35","doi-asserted-by":"publisher","first-page":"266","DOI":"10.1016\/j.automatica.2017.11.033","volume":"89","author":"G Zheng","year":"2018","unstructured":"G. Zheng, A. Polyakov, A. Levant, Delay estimation via sliding mode for nonlinear time-delay systems. Automatica 89, 266\u2013273 (2018)","journal-title":"Automatica"}],"container-title":["Circuits, Systems, and Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-022-02128-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00034-022-02128-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-022-02128-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,9,30]],"date-time":"2024-09-30T19:23:25Z","timestamp":1727724205000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00034-022-02128-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,8,4]]},"references-count":35,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2023,1]]}},"alternative-id":["2128"],"URL":"https:\/\/doi.org\/10.1007\/s00034-022-02128-x","relation":{},"ISSN":["0278-081X","1531-5878"],"issn-type":[{"type":"print","value":"0278-081X"},{"type":"electronic","value":"1531-5878"}],"subject":[],"published":{"date-parts":[[2022,8,4]]},"assertion":[{"value":"2 March 2021","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"20 July 2022","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"21 July 2022","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"4 August 2022","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}