{"id":"https://openalex.org/W1992970622","doi":"https://doi.org/10.1177/0959651811409491","title":"Gradient-based and least-squares-based iterative estimation algorithms for multi-input multi-output systems","display_name":"Gradient-based and least-squares-based iterative estimation algorithms for multi-input multi-output systems","publication_year":2011,"publication_date":"2011-09-16","ids":{"openalex":"https://openalex.org/W1992970622","doi":"https://doi.org/10.1177/0959651811409491","mag":"1992970622"},"language":"en","primary_location":{"id":"doi:10.1177/0959651811409491","is_oa":false,"landing_page_url":"https://doi.org/10.1177/0959651811409491","pdf_url":null,"source":{"id":"https://openalex.org/S4210196624","display_name":"Proceedings of the Institution of Mechanical Engineers Part I Journal of Systems and Control Engineering","issn_l":"0959-6518","issn":["0959-6518","2041-3041"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100637638","display_name":"Feng Ding","orcid":"https://orcid.org/0000-0002-2721-2025"},"institutions":[{"id":"https://openalex.org/I111599522","display_name":"Jiangnan University","ror":"https://ror.org/04mkzax54","country_code":"CN","type":"education","lineage":["https://openalex.org/I111599522"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"F Ding","raw_affiliation_strings":["Control Science and Engineering Research Center, Jiangnan University, Wuxi, People\u2019s Republic of China","Key Laboratory of Advanced Process Control for Light Industry, Jiangnan University, Wuxi, People\u2019s Republic of China","Control Science and Engineering Research Center, Jiangnan University, Wuxi, People's Republic of China","Key Laboratory of Advanced Process Control for Light Industry, Jiangnan University, Wuxi, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Control Science and Engineering Research Center, Jiangnan University, Wuxi, People\u2019s Republic of China","institution_ids":["https://openalex.org/I111599522"]},{"raw_affiliation_string":"Key Laboratory of Advanced Process Control for Light Industry, Jiangnan University, Wuxi, People\u2019s Republic of China","institution_ids":["https://openalex.org/I111599522"]},{"raw_affiliation_string":"Control Science and Engineering Research Center, Jiangnan University, Wuxi, People's Republic of China","institution_ids":["https://openalex.org/I111599522"]},{"raw_affiliation_string":"Key Laboratory of Advanced Process Control for Light Industry, Jiangnan University, Wuxi, People's Republic of China","institution_ids":["https://openalex.org/I111599522"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100620727","display_name":"Yonghong Liu","orcid":"https://orcid.org/0000-0001-6983-2137"},"institutions":[{"id":"https://openalex.org/I111599522","display_name":"Jiangnan University","ror":"https://ror.org/04mkzax54","country_code":"CN","type":"education","lineage":["https://openalex.org/I111599522"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Y Liu","raw_affiliation_strings":["Key Laboratory of Advanced Process Control for Light Industry, Jiangnan University, Wuxi, People\u2019s Republic of China","Key Laboratory of Advanced Process Control for Light Industry, Jiangnan University, Wuxi, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Advanced Process Control for Light Industry, Jiangnan University, Wuxi, People\u2019s Republic of China","institution_ids":["https://openalex.org/I111599522"]},{"raw_affiliation_string":"Key Laboratory of Advanced Process Control for Light Industry, Jiangnan University, Wuxi, People's Republic of China","institution_ids":["https://openalex.org/I111599522"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034122987","display_name":"Bo Bao","orcid":"https://orcid.org/0000-0002-0724-9330"},"institutions":[{"id":"https://openalex.org/I111599522","display_name":"Jiangnan University","ror":"https://ror.org/04mkzax54","country_code":"CN","type":"education","lineage":["https://openalex.org/I111599522"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"B Bao","raw_affiliation_strings":["Control Science and Engineering Research Center, Jiangnan University, Wuxi, People\u2019s Republic of China","Control Science and Engineering Research Center, Jiangnan University, Wuxi, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Control Science and Engineering Research Center, Jiangnan University, Wuxi, People\u2019s Republic of China","institution_ids":["https://openalex.org/I111599522"]},{"raw_affiliation_string":"Control Science and Engineering Research Center, Jiangnan University, Wuxi, People's Republic of China","institution_ids":["https://openalex.org/I111599522"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100637638"],"corresponding_institution_ids":["https://openalex.org/I111599522"],"apc_list":null,"apc_paid":null,"fwci":58.54838192,"has_fulltext":false,"cited_by_count":217,"citation_normalized_percentile":{"value":0.99919452,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":100},"biblio":{"volume":"226","issue":"1","first_page":"43","last_page":"55"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9948999881744385,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.6548408269882202},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5904810428619385},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5802649259567261},{"id":"https://openalex.org/keywords/autoregressive\u2013moving-average-model","display_name":"Autoregressive\u2013moving-average model","score":0.526756227016449},{"id":"https://openalex.org/keywords/system-identification","display_name":"System identification","score":0.5124795436859131},{"id":"https://openalex.org/keywords/autoregressive-model","display_name":"Autoregressive model","score":0.5034181475639343},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49134817719459534},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4812481105327606},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.46067437529563904},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.427439421415329},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.4247111678123474},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3643481135368347},{"id":"https://openalex.org/keywords/data-modeling","display_name":"Data modeling","score":0.19877097010612488},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16910633444786072},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.15505635738372803}],"concepts":[{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.6548408269882202},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5904810428619385},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5802649259567261},{"id":"https://openalex.org/C74883015","wikidata":"https://www.wikidata.org/wiki/Q290467","display_name":"Autoregressive\u2013moving-average model","level":3,"score":0.526756227016449},{"id":"https://openalex.org/C119247159","wikidata":"https://www.wikidata.org/wiki/Q1366192","display_name":"System identification","level":3,"score":0.5124795436859131},{"id":"https://openalex.org/C159877910","wikidata":"https://www.wikidata.org/wiki/Q2202883","display_name":"Autoregressive model","level":2,"score":0.5034181475639343},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49134817719459534},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4812481105327606},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.46067437529563904},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.427439421415329},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.4247111678123474},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3643481135368347},{"id":"https://openalex.org/C67186912","wikidata":"https://www.wikidata.org/wiki/Q367664","display_name":"Data modeling","level":2,"score":0.19877097010612488},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16910633444786072},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.15505635738372803},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1177/0959651811409491","is_oa":false,"landing_page_url":"https://doi.org/10.1177/0959651811409491","pdf_url":null,"source":{"id":"https://openalex.org/S4210196624","display_name":"Proceedings of the Institution of Mechanical Engineers Part I Journal of Systems and Control Engineering","issn_l":"0959-6518","issn":["0959-6518","2041-3041"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W105751747","https://openalex.org/W1569320505","https://openalex.org/W1965324089","https://openalex.org/W1968032347","https://openalex.org/W1968865311","https://openalex.org/W1969328424","https://openalex.org/W1970806505","https://openalex.org/W1990720916","https://openalex.org/W1992934372","https://openalex.org/W1993648480","https://openalex.org/W1995915659","https://openalex.org/W2005553562","https://openalex.org/W2008233371","https://openalex.org/W2016893249","https://openalex.org/W2017442885","https://openalex.org/W2020599692","https://openalex.org/W2022092638","https://openalex.org/W2023892559","https://openalex.org/W2029441975","https://openalex.org/W2032613949","https://openalex.org/W2038421701","https://openalex.org/W2042131486","https://openalex.org/W2045880387","https://openalex.org/W2049005062","https://openalex.org/W2053863904","https://openalex.org/W2056615320","https://openalex.org/W2063620182","https://openalex.org/W2063984680","https://openalex.org/W2066631874","https://openalex.org/W2072102505","https://openalex.org/W2072207316","https://openalex.org/W2073114888","https://openalex.org/W2074918810","https://openalex.org/W2089188972","https://openalex.org/W2093592683","https://openalex.org/W2093958427","https://openalex.org/W2106297219","https://openalex.org/W2109974986","https://openalex.org/W2113922320","https://openalex.org/W2116396438","https://openalex.org/W2116899486","https://openalex.org/W2141981397","https://openalex.org/W2142937021","https://openalex.org/W2144089439","https://openalex.org/W2167722541","https://openalex.org/W4240691156"],"related_works":["https://openalex.org/W199725827","https://openalex.org/W4248896451","https://openalex.org/W4394470125","https://openalex.org/W1983856919","https://openalex.org/W2139476852","https://openalex.org/W2067753569","https://openalex.org/W2354460942","https://openalex.org/W2592526357","https://openalex.org/W2137697882","https://openalex.org/W2657386752"],"abstract_inverted_index":{"System":[0],"modelling":[1],"is":[2,68],"important":[3],"for":[4,41],"studying":[5],"the":[6,14,39,59,71,79,87,96],"motion":[7],"laws":[8],"of":[9,13],"dynamical":[10],"systems.":[11],"Parameters":[12],"system":[15,46],"models":[16],"can":[17],"be":[18],"estimated":[19],"through":[20],"identification":[21],"methods":[22],"from":[23,54],"measurement":[24],"data.":[25],"This":[26],"paper":[27],"develops":[28],"a":[29,32,42],"gradient-based":[30],"and":[31,62,75],"least-squares-based":[33],"iterative":[34],"estimation":[35],"algorithms":[36,98],"to":[37,69],"estimate":[38],"parameters":[40],"multi-input":[43],"multi-output":[44],"(MIMO)":[45],"with":[47,82],"coloured":[48],"auto-regressive":[49],"moving":[50],"average":[51],"(ARMA)":[52],"noise":[53,73],"input\u2013output":[55],"data,":[56],"based":[57],"on":[58],"gradient":[60],"search":[61],"least-squares":[63],"principles,":[64],"respectively.":[65],"The":[66,90],"key":[67],"replace":[70],"unknown":[72],"terms":[74],"residuals":[76],"contained":[77],"in":[78],"information":[80],"vector":[81],"their":[83],"corresponding":[84],"estimates":[85],"at":[86],"previous":[88],"iteration.":[89],"simulation":[91],"test":[92],"results":[93],"indicate":[94],"that":[95],"proposed":[97],"are":[99],"effective.":[100]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":12},{"year":2022,"cited_by_count":26},{"year":2021,"cited_by_count":32},{"year":2020,"cited_by_count":26},{"year":2019,"cited_by_count":13},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":16},{"year":2013,"cited_by_count":45},{"year":2012,"cited_by_count":26}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
