{"id":"https://openalex.org/W2127541793","doi":"https://doi.org/10.1109/cdc.2007.4435002","title":"On Weighting of Data Matrix in Subspace Identification","display_name":"On Weighting of Data Matrix in Subspace Identification","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2127541793","doi":"https://doi.org/10.1109/cdc.2007.4435002","mag":"2127541793"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2007.4435002","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2007.4435002","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 46th IEEE Conference on Decision and Control","raw_type":"proceedings-article"},"type":"conference-paper","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/A5022593560","display_name":"Yoshinori Takei","orcid":"https://orcid.org/0000-0001-5970-3809"},"institutions":[{"id":"https://openalex.org/I125852741","display_name":"Kanazawa Institute of Technology","ror":"https://ror.org/02ws33e43","country_code":"JP","type":"education","lineage":["https://openalex.org/I125852741"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yoshinori Takei","raw_affiliation_strings":["Department Robotics, Kanazawa Institute of Technology, Ishikawa, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department Robotics, Kanazawa Institute of Technology, Ishikawa, Japan","institution_ids":["https://openalex.org/I125852741"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111758850","display_name":"Hidehito Nanto","orcid":null},"institutions":[{"id":"https://openalex.org/I125852741","display_name":"Kanazawa Institute of Technology","ror":"https://ror.org/02ws33e43","country_code":"JP","type":"education","lineage":["https://openalex.org/I125852741"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hidehito Nanto","raw_affiliation_strings":["Department Robotics, Kanazawa Institute of Technology, Ishikawa, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department Robotics, Kanazawa Institute of Technology, Ishikawa, Japan","institution_ids":["https://openalex.org/I125852741"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049524786","display_name":"Shunshoku Kanae","orcid":null},"institutions":[{"id":"https://openalex.org/I135598925","display_name":"Kyushu University","ror":"https://ror.org/00p4k0j84","country_code":"JP","type":"education","lineage":["https://openalex.org/I135598925"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Shunshoku Kanae","raw_affiliation_strings":["Department of Electrical and Electronic Systems Engineering, Kyushu University, Fukuoka, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Systems Engineering, Kyushu University, Fukuoka, Japan","institution_ids":["https://openalex.org/I135598925"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021084208","display_name":"Zi\u2010Jiang Yang","orcid":"https://orcid.org/0000-0003-3588-9906"},"institutions":[{"id":"https://openalex.org/I135598925","display_name":"Kyushu University","ror":"https://ror.org/00p4k0j84","country_code":"JP","type":"education","lineage":["https://openalex.org/I135598925"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Zi-Jiang Yang","raw_affiliation_strings":["Department of Electrical and Electronic Systems Engineering, Kyushu University, Fukuoka, Japan","Department of Electrical and Electronic Systems Engineering, Kyushu University, Fukuoka 812-8581, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Systems Engineering, Kyushu University, Fukuoka, Japan","institution_ids":["https://openalex.org/I135598925"]},{"raw_affiliation_string":"Department of Electrical and Electronic Systems Engineering, Kyushu University, Fukuoka 812-8581, Japan","institution_ids":["https://openalex.org/I135598925"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109053679","display_name":"Kiyoshi Wada","orcid":null},"institutions":[{"id":"https://openalex.org/I135598925","display_name":"Kyushu University","ror":"https://ror.org/00p4k0j84","country_code":"JP","type":"education","lineage":["https://openalex.org/I135598925"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kiyoshi Wada","raw_affiliation_strings":["Department of Electrical and Electronic Systems Engineering, Kyushu University, Fukuoka, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Systems Engineering, Kyushu University, Fukuoka, Japan","institution_ids":["https://openalex.org/I135598925"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.23580343,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"36","issue":null,"first_page":"4974","last_page":"4979"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9944999814033508,"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"}},{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9925000071525574,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.7869588136672974},{"id":"https://openalex.org/keywords/weighting","display_name":"Weighting","score":0.7858090400695801},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5837065577507019},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.5831479430198669},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5060855746269226},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5052943825721741},{"id":"https://openalex.org/keywords/moment","display_name":"Moment (physics)","score":0.4355950653553009},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3493287265300751},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34102290868759155},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.3397512435913086}],"concepts":[{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.7869588136672974},{"id":"https://openalex.org/C183115368","wikidata":"https://www.wikidata.org/wiki/Q856577","display_name":"Weighting","level":2,"score":0.7858090400695801},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5837065577507019},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.5831479430198669},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5060855746269226},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5052943825721741},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.4355950653553009},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3493287265300751},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34102290868759155},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3397512435913086},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C126838900","wikidata":"https://www.wikidata.org/wiki/Q77604","display_name":"Radiology","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2007.4435002","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2007.4435002","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 46th IEEE Conference on Decision and Control","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1029642326","https://openalex.org/W1568421619","https://openalex.org/W1571210075","https://openalex.org/W1982182688","https://openalex.org/W1985718264","https://openalex.org/W2013233350","https://openalex.org/W2034487019","https://openalex.org/W2043260411","https://openalex.org/W2059942279","https://openalex.org/W2065950178","https://openalex.org/W2167933592","https://openalex.org/W2614297432","https://openalex.org/W2753164991","https://openalex.org/W2803818842","https://openalex.org/W2804466076","https://openalex.org/W4293738470","https://openalex.org/W6633973606","https://openalex.org/W6653670575","https://openalex.org/W6738023546","https://openalex.org/W6750876586","https://openalex.org/W6751702217"],"related_works":["https://openalex.org/W2180954594","https://openalex.org/W2052835778","https://openalex.org/W2049003611","https://openalex.org/W2127804977","https://openalex.org/W2108418243","https://openalex.org/W164103134","https://openalex.org/W2787352659","https://openalex.org/W1604447007","https://openalex.org/W1547183467","https://openalex.org/W612792751"],"abstract_inverted_index":{"The":[0,114],"MOESP":[1],"types":[2,34],"of":[3,18,23,32,35,44,75,80,96,123,152],"the":[4,16,21,24,40,45,55,61,66,73,78,81,94,102,107,110,121,127,131,142,150,153,158],"subspace":[5,36,67],"algorithms":[6,37,108],"which":[7,100,126],"are":[8,13],"originally":[9],"proposed":[10,29,62,159],"by":[11,38,89],"Verhaegen":[12],"considered":[14],"at":[15,72],"point":[17,74],"view":[19,76],"from":[20,77],"weighting":[22,144,151],"data":[25,46,103,115,154],"matrices.":[26],"We":[27],"have":[28],"an":[30],"interpretation":[31],"these":[33],"using":[39,84],"Schur":[41],"complement":[42],"(SC)":[43],"product":[47,155],"moment":[48,156],"and":[49,157],"derive":[50],"a":[51],"unified":[52,63,160],"framework":[53,161],"for":[54,65],"subspace-based":[56],"identification.":[57],"This":[58],"paper":[59],"shows":[60],"approach":[64,88],"identification":[68,83],"will":[69,139],"be":[70,135,147],"reviewed":[71],"results":[79],"Subspace-based":[82],"instrumental":[85],"variables":[86],"(SIV)":[87],"Gustafsson.":[90],"Furthermore,":[91],"we":[92],"consider":[93],"introduction":[95],"exponential":[97],"forgetting":[98,128],"factor":[99,129],"windows":[101],"matrices":[104],"to":[105,109,119],"apply":[106],"slowly":[111],"time-varying":[112],"system.":[113],"matrix":[116],"is":[117],"windowed":[118],"reduce":[120],"influence":[122],"old":[124],"data,":[125],"or":[130],"sliding":[132],"window":[133,143],"can":[134,145],"used.":[136],"Here":[137],"it":[138],"show":[140],"that":[141],"also":[146],"reformed":[148],"as":[149],"still":[162],"kept":[163],"consequently.":[164]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
