{"id":"https://openalex.org/W3183283678","doi":"https://doi.org/10.1109/access.2021.3100771","title":"The Optimal Distributed Kalman Filtering Fusion With Linear Equality Constraint","display_name":"The Optimal Distributed Kalman Filtering Fusion With Linear Equality Constraint","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3183283678","doi":"https://doi.org/10.1109/access.2021.3100771","mag":"3183283678"},"language":"en","primary_location":{"id":"doi:10.1109/access.2021.3100771","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3100771","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/9312710/09497885.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/9312710/09497885.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101789012","display_name":"Hua Li","orcid":"https://orcid.org/0000-0002-6480-7386"},"institutions":[{"id":"https://openalex.org/I63371133","display_name":"Chongqing Jiaotong University","ror":"https://ror.org/01t001k65","country_code":"CN","type":"education","lineage":["https://openalex.org/I63371133"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hua Li","raw_affiliation_strings":["College of Mathematics and Statistics, Chongqing Jiaotong University, Chongqing, China"],"raw_orcid":"https://orcid.org/0000-0002-6480-7386","affiliations":[{"raw_affiliation_string":"College of Mathematics and Statistics, Chongqing Jiaotong University, Chongqing, China","institution_ids":["https://openalex.org/I63371133"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074628231","display_name":"Shengli Zhao","orcid":"https://orcid.org/0000-0002-0879-8606"},"institutions":[{"id":"https://openalex.org/I50632499","display_name":"Chongqing University of Technology","ror":"https://ror.org/04vgbd477","country_code":"CN","type":"education","lineage":["https://openalex.org/I50632499"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shengli Zhao","raw_affiliation_strings":["School of Science, Chongqing University of Technology, Chongqing, China"],"raw_orcid":"https://orcid.org/0000-0002-0879-8606","affiliations":[{"raw_affiliation_string":"School of Science, Chongqing University of Technology, Chongqing, China","institution_ids":["https://openalex.org/I50632499"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.273,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.62006567,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"9","issue":null,"first_page":"106283","last_page":"106292"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11325","display_name":"Inertial Sensor and Navigation","score":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9914000034332275,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/kalman-filter","display_name":"Kalman filter","score":0.8975020051002502},{"id":"https://openalex.org/keywords/covariance-intersection","display_name":"Covariance intersection","score":0.7691142559051514},{"id":"https://openalex.org/keywords/fast-kalman-filter","display_name":"Fast Kalman filter","score":0.7360876202583313},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5792983770370483},{"id":"https://openalex.org/keywords/sensor-fusion","display_name":"Sensor fusion","score":0.5495036840438843},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5330537557601929},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.5240167379379272},{"id":"https://openalex.org/keywords/covariance-matrix","display_name":"Covariance matrix","score":0.510021984577179},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.48896896839141846},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.47808218002319336},{"id":"https://openalex.org/keywords/fusion","display_name":"Fusion","score":0.46901458501815796},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.445298433303833},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.43820497393608093},{"id":"https://openalex.org/keywords/invariant-extended-kalman-filter","display_name":"Invariant extended Kalman filter","score":0.4284715950489044},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39592355489730835},{"id":"https://openalex.org/keywords/extended-kalman-filter","display_name":"Extended Kalman filter","score":0.3611728549003601},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.19372516870498657},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07949665188789368}],"concepts":[{"id":"https://openalex.org/C157286648","wikidata":"https://www.wikidata.org/wiki/Q846780","display_name":"Kalman filter","level":2,"score":0.8975020051002502},{"id":"https://openalex.org/C83042196","wikidata":"https://www.wikidata.org/wiki/Q5178898","display_name":"Covariance intersection","level":4,"score":0.7691142559051514},{"id":"https://openalex.org/C150679823","wikidata":"https://www.wikidata.org/wiki/Q5436946","display_name":"Fast Kalman filter","level":4,"score":0.7360876202583313},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5792983770370483},{"id":"https://openalex.org/C33954974","wikidata":"https://www.wikidata.org/wiki/Q486494","display_name":"Sensor fusion","level":2,"score":0.5495036840438843},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5330537557601929},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.5240167379379272},{"id":"https://openalex.org/C185142706","wikidata":"https://www.wikidata.org/wiki/Q1134404","display_name":"Covariance matrix","level":2,"score":0.510021984577179},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.48896896839141846},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47808218002319336},{"id":"https://openalex.org/C158525013","wikidata":"https://www.wikidata.org/wiki/Q2593739","display_name":"Fusion","level":2,"score":0.46901458501815796},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.445298433303833},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.43820497393608093},{"id":"https://openalex.org/C8639503","wikidata":"https://www.wikidata.org/wiki/Q6059511","display_name":"Invariant extended Kalman filter","level":4,"score":0.4284715950489044},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39592355489730835},{"id":"https://openalex.org/C206833254","wikidata":"https://www.wikidata.org/wiki/Q5421817","display_name":"Extended Kalman filter","level":3,"score":0.3611728549003601},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19372516870498657},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07949665188789368},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2021.3100771","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3100771","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/9312710/09497885.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:deb1e2783b1743cebcb25c009472c4a3","is_oa":true,"landing_page_url":"https://doaj.org/article/deb1e2783b1743cebcb25c009472c4a3","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 9, Pp 106283-106292 (2021)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2021.3100771","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3100771","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/9312710/09497885.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3183283678.pdf","grobid_xml":"https://content.openalex.org/works/W3183283678.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W1544909997","https://openalex.org/W1611083383","https://openalex.org/W1653999510","https://openalex.org/W1965705620","https://openalex.org/W2013002270","https://openalex.org/W2018142823","https://openalex.org/W2025090775","https://openalex.org/W2025947318","https://openalex.org/W2055576996","https://openalex.org/W2055762251","https://openalex.org/W2059330422","https://openalex.org/W2078786957","https://openalex.org/W2085352907","https://openalex.org/W2090580290","https://openalex.org/W2091816029","https://openalex.org/W2103363066","https://openalex.org/W2131752723","https://openalex.org/W2139182243","https://openalex.org/W2139813482","https://openalex.org/W2146775457","https://openalex.org/W2148451326","https://openalex.org/W2167420061","https://openalex.org/W2192655208","https://openalex.org/W2246432806","https://openalex.org/W2615360983","https://openalex.org/W2773401559","https://openalex.org/W2775541648","https://openalex.org/W2899988299","https://openalex.org/W2960788939","https://openalex.org/W2963972845","https://openalex.org/W2972399734","https://openalex.org/W3009323257","https://openalex.org/W3217006579","https://openalex.org/W6636510167","https://openalex.org/W6804679018"],"related_works":["https://openalex.org/W2772311278","https://openalex.org/W2966342863","https://openalex.org/W2359845109","https://openalex.org/W1035502194","https://openalex.org/W2380516352","https://openalex.org/W4206024512","https://openalex.org/W2742858738","https://openalex.org/W4300476109","https://openalex.org/W2354299011","https://openalex.org/W4302337189"],"abstract_inverted_index":{"In":[0,138],"this":[1],"paper,":[2],"the":[3,17,47,53,65,75,93,108,124,127,140,145,155,159,174,178,185,198,201],"optimal":[4],"distributed":[5,29,49,94,195],"Kalman":[6,18,95,110,132,150,161,206],"filtering":[7,96,111,133,151,162,207],"fusion":[8,50,55,77,129,147,203],"with":[9,60,97,112,134,152,163,173,208],"linear":[10,30],"equality":[11],"constraint":[12],"(LEC)":[13],"is":[14,23,41,57,105,118,171,180,189,212],"proposed.":[15],"When":[16],"filter":[19],"subject":[20],"to":[21,107,182],"LEC":[22,98,113,135,153,164,209],"applied":[24],"in":[25,194],"state":[26,69],"estimation":[27],"of":[28,46,126,158,187,200],"dynamic":[31],"system,":[32],"all":[33,102],"local":[34,81,103,192],"error":[35,72,86],"covariance":[36,73],"matrices":[37],"are":[38],"singular,":[39],"which":[40,115],"a":[42],"challenge":[43],"for":[44,131,149,205],"most":[45],"existing":[48],"algorithms.":[51],"However,":[52],"new":[54,76,202],"algorithm":[56,78],"rigorously":[58],"derived":[59],"matrix":[61],"analysis":[62],"technique":[63],"on":[64],"Moore-Penrose":[66],"inverse.":[67],"Updating":[68],"estimate":[70,186],"and":[71,83,136,210],"matrix,":[74],"only":[79],"uses":[80],"estimates":[82,193],"their":[84],"corresponding":[85],"covariances.":[87],"We":[88],"have":[89,154],"proved":[90],"theoretically":[91],"that":[92,144,177],"(DKF-LEC)":[99],"just":[100],"using":[101],"measurements":[104],"equivalent":[106,181],"centralized":[109,160],"(CKF-LEC),":[114],"means":[116],"it":[117],"optimal.":[119],"Furthermore,":[120],"we":[121],"also":[122],"prove":[123],"optimality":[125],"proposed":[128,146],"formula":[130,148,204],"feedback.":[137,218],"addition,":[139],"simulation":[141],"results":[142],"show":[143],"same":[156],"performance":[157,199],"whether":[165],"considering":[166],"feedback":[167,211],"or":[168],"not.":[169],"It":[170],"consistent":[172],"theoretical":[175],"result":[176],"DKF-LEC":[179],"CKF-LEC":[183,188],"as":[184],"disassembled":[190],"into":[191],"system.":[196],"And":[197],"obviously":[213],"better":[214],"than":[215],"those":[216],"without":[217]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
