{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,5]],"date-time":"2026-05-05T14:38:47Z","timestamp":1777991927709,"version":"3.51.4"},"reference-count":31,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2022,1,15]],"date-time":"2022-01-15T00:00:00Z","timestamp":1642204800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2022,1,15]],"date-time":"2022-01-15T00:00:00Z","timestamp":1642204800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Neural Process Lett"],"published-print":{"date-parts":[[2022,6]]},"DOI":"10.1007\/s11063-021-10692-7","type":"journal-article","created":{"date-parts":[[2022,1,15]],"date-time":"2022-01-15T00:04:35Z","timestamp":1642205075000},"page":"1523-1547","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["Hysteresis Identification Using Extended Preisach Neural Network"],"prefix":"10.1007","volume":"54","author":[{"given":"M.","family":"Farrokh","sequence":"first","affiliation":[]},{"given":"F. S.","family":"Dizaji","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3405-8740","authenticated-orcid":false,"given":"M. S.","family":"Dizaji","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,1,15]]},"reference":[{"issue":"2","key":"10692_CR1","doi-asserted-by":"publisher","first-page":"251","DOI":"10.1016\/0893-6080(91)90009-T","volume":"4","author":"K Hornik","year":"1991","unstructured":"Hornik K (1991) Approximation capabilities of multilayer feedforward networks. Neural Netw 4(2):251\u2013257","journal-title":"Neural Netw"},{"issue":"1","key":"10692_CR2","doi-asserted-by":"publisher","first-page":"132","DOI":"10.1061\/(ASCE)0733-9399(1991)117:1(132)","volume":"117","author":"J Ghaboussi","year":"1991","unstructured":"Ghaboussi J, Garrett J Jr, Wu X (1991) Knowledge-based modeling of material behavior with neural networks. J Eng Mech 117(1):132\u2013153","journal-title":"J Eng Mech"},{"key":"10692_CR3","doi-asserted-by":"crossref","unstructured":"Masri SF, Chassiakos AG, Caughey TK (1993) Identification of nonlinear dynamic systems using neural networks J Appl Mech 60(1):123\u2013133","DOI":"10.1115\/1.2900734"},{"issue":"2","key":"10692_CR4","doi-asserted-by":"publisher","first-page":"208","DOI":"10.1109\/3477.558801","volume":"27","author":"HT Siegelmann","year":"1997","unstructured":"Siegelmann HT, Horne BG, Giles CL (1997) Computational capabilities of recurrent narx neural networks, IEEE transactions on systems, man, and cybernetics. Part B (Cybern) 27(2):208\u2013215","journal-title":"Part B (Cybern)"},{"key":"10692_CR5","unstructured":"Joghataie A, Dizaji MS (2009) Nonlinear analysis of concrete gravity dams by neural networks, in Proceedings of the World Congress on Engineering, vol. 2. Citeseer"},{"issue":"7","key":"10692_CR6","doi-asserted-by":"publisher","first-page":"484","DOI":"10.1061\/(ASCE)EM.1943-7889.0000246","volume":"137","author":"A Joghataie","year":"2010","unstructured":"Joghataie A, Dizaji MS (2010) Transforming results from model to prototype of concrete gravity dams using neural networks. J Eng Mech 137(7):484\u2013496","journal-title":"J Eng Mech"},{"issue":"10","key":"10692_CR7","doi-asserted-by":"publisher","first-page":"1311","DOI":"10.1061\/(ASCE)EM.1943-7889.0000572","volume":"139","author":"A Joghataie","year":"2012","unstructured":"Joghataie A, Dizaji MS (2012) Designing high-precision fast nonlinear dam neuro-modelers and comparison with finite-element analysis. J Eng Mech 139(10):1311\u20131324","journal-title":"J Eng Mech"},{"key":"10692_CR8","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-47439-3","volume-title":"Nonlinear system identification: from classical approaches to neural networks, fuzzy models, and gaussian processes","author":"O Nelles","year":"2020","unstructured":"Nelles O (2020) Nonlinear system identification: from classical approaches to neural networks, fuzzy models, and gaussian processes. Springer Nature, Berlin"},{"issue":"4","key":"10692_CR9","doi-asserted-by":"publisher","first-page":"447","DOI":"10.1002\/nme.2082","volume":"73","author":"GJ Yun","year":"2008","unstructured":"Yun GJ, Ghaboussi J, Elnashai AS (2008) A new neural network-based model for hysteretic behavior of materials. Int J Numer Methods Eng 73(4):447\u2013469","journal-title":"Int J Numer Methods Eng"},{"issue":"4","key":"10692_CR10","doi-asserted-by":"publisher","first-page":"601","DOI":"10.1109\/3477.865179","volume":"30","author":"J-D Wei","year":"2000","unstructured":"Wei J-D, Sun C-T (2000) Constructing hysteretic memory in neural networks, IEEE transactions on systems, man, and cybernetics. Part B (Cybern) 30(4):601\u2013609","journal-title":"Part B (Cybern)"},{"issue":"6","key":"10692_CR11","doi-asserted-by":"publisher","first-page":"880","DOI":"10.1115\/1.1408614","volume":"68","author":"E Kosmatopoulos","year":"2001","unstructured":"Kosmatopoulos E, Smyth A, Masri S, Chassiakos A (2001) Robust adaptive neural estimation of restoring forces in nonlinear structures. J Appl Mech 68(6):880\u2013893","journal-title":"J Appl Mech"},{"issue":"4","key":"10692_CR12","doi-asserted-by":"publisher","first-page":"06014002","DOI":"10.1061\/(ASCE)EM.1943-7889.0000700","volume":"140","author":"M Farrokh","year":"2013","unstructured":"Farrokh M, Joghataie A (2013) Adaptive modeling of highly nonlinear hysteresis using preisach neural networks. J Eng Mech 140(4):06014002","journal-title":"J Eng Mech"},{"issue":"20","key":"10692_CR13","doi-asserted-by":"publisher","first-page":"4813","DOI":"10.1016\/j.jsv.2011.04.035","volume":"330","author":"A Joghataie","year":"2011","unstructured":"Joghataie A, Farrokh M (2011) Matrix analysis of nonlinear trusses using prandtl-2 neural networks. J Sound Vibr 330(20):4813\u20134826","journal-title":"J Sound Vibr"},{"issue":"11","key":"10692_CR14","doi-asserted-by":"publisher","first-page":"961","DOI":"10.1061\/(ASCE)0733-9399(2008)134:11(961)","volume":"134","author":"A Joghataie","year":"2008","unstructured":"Joghataie A, Farrokh M (2008) Dynamic analysis of nonlinear frames by prandtl neural networks. J Eng Mech 134(11):961\u2013969","journal-title":"J Eng Mech"},{"issue":"13","key":"10692_CR15","doi-asserted-by":"publisher","first-page":"1713","DOI":"10.1177\/1045389X15604283","volume":"27","author":"M Farrokh","year":"2016","unstructured":"Farrokh M, Dizaji MS (2016) Adaptive simulation of hysteresis using neuro-madelung model. J Intell Mater Syst Struct 27(13):1713\u20131724","journal-title":"J Intell Mater Syst Struct"},{"issue":"8","key":"10692_CR16","doi-asserted-by":"publisher","first-page":"04015024","DOI":"10.1061\/(ASCE)EM.1943-7889.0000925","volume":"141","author":"M Farrokh","year":"2015","unstructured":"Farrokh M, Dizaji MS, Joghataie A (2015) Modeling hysteretic deteriorating behavior using generalized prandtl neural network. J Eng Mech 141(8):04015024","journal-title":"J Eng Mech"},{"issue":"5","key":"10692_CR17","doi-asserted-by":"publisher","first-page":"603","DOI":"10.1109\/TMAG.1986.1064347","volume":"22","author":"I Mayergoyz","year":"1986","unstructured":"Mayergoyz I (1986) Mathematical models of hysteresis. IEEE Trans Magn 22(5):603\u2013608","journal-title":"IEEE Trans Magn"},{"key":"10692_CR18","volume-title":"Mathematical models of hysteresis and their applications","author":"ID Mayergoyz","year":"2003","unstructured":"Mayergoyz ID (2003) Mathematical models of hysteresis and their applications. Academic Press, Cambridge"},{"issue":"9","key":"10692_CR19","doi-asserted-by":"publisher","first-page":"1469","DOI":"10.1016\/j.automatica.2004.04.006","volume":"40","author":"X Tan","year":"2004","unstructured":"Tan X, Baras JS (2004) Modeling and control of hysteresis in magnetostrictive actuators. Automatica 40(9):1469\u20131480","journal-title":"Automatica"},{"issue":"6","key":"10692_CR20","doi-asserted-by":"publisher","first-page":"827","DOI":"10.1109\/TAC.2005.849215","volume":"50","author":"X Tan","year":"2005","unstructured":"Tan X, Baras JS (2005) Adaptive identification and control of hysteresis in smart materials. IEEE Trans Autom control 50(6):827\u2013839","journal-title":"IEEE Trans Autom control"},{"key":"10692_CR21","volume-title":"Hysteresis and phase transitions","author":"M Brokate","year":"2012","unstructured":"Brokate M, Sprekels J (2012) Hysteresis and phase transitions. Springer, Berlin"},{"issue":"4","key":"10692_CR22","doi-asserted-by":"publisher","first-page":"537","DOI":"10.1023\/B:CASA.0000003503.25710.84","volume":"39","author":"N Shor","year":"2003","unstructured":"Shor N, Zhurbenko N, Likhovid A, Stetsyuk P (2003) Algorithms of nondifferentiable optimization: development and application. Cybern Syst Anal 39(4):537\u2013548","journal-title":"Cybern Syst Anal"},{"key":"10692_CR23","doi-asserted-by":"publisher","first-page":"71","DOI":"10.1007\/978-1-4757-6015-6","volume-title":"Subgradient-type methods with space dilation, in nondifferentiable optimization and polynomial problems","author":"NZ Shor","year":"1998","unstructured":"Shor NZ (1998) Subgradient-type methods with space dilation, in nondifferentiable optimization and polynomial problems. Springer, Berlin, pp 71\u2013112"},{"key":"10692_CR24","volume-title":"Performance-based evaluation of exterior reinforced concrete building joints for seismic excitation: pacific earthquake engineering research center, college of engineering","author":"C Clyde","year":"2000","unstructured":"Clyde C, Pantelides CP, Reaveley LD (2000) Performance-based evaluation of exterior reinforced concrete building joints for seismic excitation: pacific earthquake engineering research center, college of engineering. University of California, Berkeley"},{"issue":"4","key":"10692_CR25","doi-asserted-by":"publisher","first-page":"734","DOI":"10.1109\/TMECH.2010.2052366","volume":"16","author":"M Al Janaideh","year":"2010","unstructured":"Al Janaideh M, Rakheja S, Su C-Y (2010) An analytical generalized prandtl-ishlinskii model inversion for hysteresis compensation in micropositioning control. IEEE\/ASME Trans Mechatron 16(4):734\u2013744","journal-title":"IEEE\/ASME Trans Mechatron"},{"key":"10692_CR26","doi-asserted-by":"crossref","unstructured":"Saedi S, Shafiei Dizaji F, Ozbulut OE, Karaca HE (2017) Structural vibration control using high strength and damping capacity shape memory alloys, in Proceeding in Structural Dynamics Challengesin Next Generation Aerospace Systems, (IMAC XXXV), pp. 7\u20138","DOI":"10.1007\/978-3-319-54777-0_32"},{"key":"10692_CR27","unstructured":"Shi F, Toker GP, Shafiei Dizaji F, Ozbulut OE, Karaca HE (2018) Experimental and numerical investigations on seismic applications of high damping smas, in Proceeding in Eleventh U.S. National Conference on Earthquake EngineeringIntegrating Science, Engineering & Policy, pp. 7\u20138"},{"issue":"2","key":"10692_CR28","first-page":"195","volume":"61","author":"B Sinha","year":"1964","unstructured":"Sinha B, Gerstle KH, Tulin LG (1964) Stress-strain relations for concrete under cyclic loading. J Proc 61(2):195\u2013212","journal-title":"J Proc"},{"issue":"2","key":"10692_CR29","doi-asserted-by":"publisher","first-page":"303","DOI":"10.1016\/j.sna.2010.09.020","volume":"165","author":"G Gu","year":"2011","unstructured":"Gu G, Zhu L (2011) Modeling of rate-dependent hysteresis in piezoelectric actuators using a family of ellipses. Sens Actuat A: Phys 165(2):303\u2013309","journal-title":"Sens Actuat A: Phys"},{"issue":"5","key":"10692_CR30","doi-asserted-by":"publisher","first-page":"1498","DOI":"10.1109\/TMECH.2012.2205265","volume":"18","author":"M Al Janaideh","year":"2012","unstructured":"Al Janaideh M, Krej\u010d\u00ed P (2012) Inverse rate-dependent prandtl-ishlinskii model for feedforward compensation of hysteresis in a piezomicropositioning actuator. IEEE\/ASME Trans Mechatron 18(5):1498\u20131507","journal-title":"IEEE\/ASME Trans Mechatron"},{"issue":"8","key":"10692_CR31","doi-asserted-by":"publisher","first-page":"1528","DOI":"10.1016\/j.physb.2011.01.062","volume":"406","author":"M Al Janaideh","year":"2011","unstructured":"Al Janaideh M, Krej\u010d\u00ed P (2011) An inversion formula for a prandtl-ishlinskii operator with time dependent thresholds. Physica B: Condens Matter 406(8):1528\u20131532","journal-title":"Physica B: Condens Matter"}],"container-title":["Neural Processing Letters"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11063-021-10692-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11063-021-10692-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11063-021-10692-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,5,28]],"date-time":"2022-05-28T13:12:05Z","timestamp":1653743525000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11063-021-10692-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,1,15]]},"references-count":31,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2022,6]]}},"alternative-id":["10692"],"URL":"https:\/\/doi.org\/10.1007\/s11063-021-10692-7","relation":{},"ISSN":["1370-4621","1573-773X"],"issn-type":[{"value":"1370-4621","type":"print"},{"value":"1573-773X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,1,15]]},"assertion":[{"value":"8 November 2021","order":1,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"15 January 2022","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The author(s) declared no potential conflicts of interests with respect to the research, authorship, and\/or publication of this article.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}