{"id":"https://openalex.org/W4415970990","doi":"https://doi.org/10.1109/tcyb.2025.3625422","title":"Kalman-Based Joint Estimation for Generalized Time-Varying Parameter Systems With the Unknown Invariant Matrix","display_name":"Kalman-Based Joint Estimation for Generalized Time-Varying Parameter Systems With the Unknown Invariant Matrix","publication_year":2025,"publication_date":"2025-11-06","ids":{"openalex":"https://openalex.org/W4415970990","doi":"https://doi.org/10.1109/tcyb.2025.3625422","pmid":"https://pubmed.ncbi.nlm.nih.gov/41196793"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2025.3625422","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2025.3625422","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Cybernetics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5011777718","display_name":"Ning Xu","orcid":"https://orcid.org/0000-0003-2671-3917"},"institutions":[{"id":"https://openalex.org/I82760581","display_name":"Taizhou University","ror":"https://ror.org/04fzhyx73","country_code":"CN","type":"education","lineage":["https://openalex.org/I82760581"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ning Xu","raw_affiliation_strings":["Institute of Industrial Intelligence and Data Engineering, School of Artificial Intelligence, Taizhou University, Taizhou, Zhejiang, China"],"affiliations":[{"raw_affiliation_string":"Institute of Industrial Intelligence and Data Engineering, School of Artificial Intelligence, Taizhou University, Taizhou, Zhejiang, China","institution_ids":["https://openalex.org/I82760581"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100703214","display_name":"Xiao Zhang","orcid":"https://orcid.org/0000-0002-6413-6148"},"institutions":[{"id":"https://openalex.org/I82760581","display_name":"Taizhou University","ror":"https://ror.org/04fzhyx73","country_code":"CN","type":"education","lineage":["https://openalex.org/I82760581"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiao Zhang","raw_affiliation_strings":["Institute of Industrial Intelligence and Data Engineering, School of Artificial Intelligence, Taizhou University, Taizhou, Zhejiang, China"],"affiliations":[{"raw_affiliation_string":"Institute of Industrial Intelligence and Data Engineering, School of Artificial Intelligence, Taizhou University, Taizhou, Zhejiang, China","institution_ids":["https://openalex.org/I82760581"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003234826","display_name":"Ling Xu","orcid":"https://orcid.org/0000-0002-5040-5634"},"institutions":[{"id":"https://openalex.org/I4210153482","display_name":"Changzhou University","ror":"https://ror.org/04ymgwq66","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210153482"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ling Xu","raw_affiliation_strings":["School of Microelectronics and Control Engineering, Changzhou University, Changzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Microelectronics and Control Engineering, Changzhou University, Changzhou, China","institution_ids":["https://openalex.org/I4210153482"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100637638","display_name":"Feng Ding","orcid":"https://orcid.org/0000-0002-2721-2025"},"institutions":[{"id":"https://openalex.org/I4210105877","display_name":"Wuhan Donghu University","ror":"https://ror.org/017swdq34","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210105877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Feng Ding","raw_affiliation_strings":["School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan, China"],"affiliations":[{"raw_affiliation_string":"School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan, China","institution_ids":["https://openalex.org/I4210105877"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070068561","display_name":"Feiyan Chen","orcid":"https://orcid.org/0000-0001-7405-6910"},"institutions":[{"id":"https://openalex.org/I69356397","display_name":"Xi\u2019an Jiaotong-Liverpool University","ror":"https://ror.org/03zmrmn05","country_code":"CN","type":"education","lineage":["https://openalex.org/I69356397"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Feiyan Chen","raw_affiliation_strings":["Department of Foundational Mathematics, School of Mathematics and Physics, Xi&#x2019;an Jiaotong-Liverpool University, Suzhou, China"],"affiliations":[{"raw_affiliation_string":"Department of Foundational Mathematics, School of Mathematics and Physics, Xi&#x2019;an Jiaotong-Liverpool University, Suzhou, China","institution_ids":["https://openalex.org/I69356397"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5011777718"],"corresponding_institution_ids":["https://openalex.org/I82760581"],"apc_list":null,"apc_paid":null,"fwci":39.0117,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.99719281,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"56","issue":"2","first_page":"1027","last_page":"1036"},"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":0.35580000281333923,"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":0.35580000281333923,"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/T11236","display_name":"Control Systems and Identification","score":0.2935999929904938,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.1467999964952469,"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/autoregressive-model","display_name":"Autoregressive model","score":0.6470999717712402},{"id":"https://openalex.org/keywords/kalman-filter","display_name":"Kalman filter","score":0.5741999745368958},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5582000017166138},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.5209000110626221},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.42590001225471497},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.4034999907016754},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.4023999869823456},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.39419999718666077}],"concepts":[{"id":"https://openalex.org/C159877910","wikidata":"https://www.wikidata.org/wiki/Q2202883","display_name":"Autoregressive model","level":2,"score":0.6470999717712402},{"id":"https://openalex.org/C157286648","wikidata":"https://www.wikidata.org/wiki/Q846780","display_name":"Kalman filter","level":2,"score":0.5741999745368958},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5582000017166138},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.5209000110626221},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4794999957084656},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4666999876499176},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.42590001225471497},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.4034999907016754},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.4023999869823456},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.39419999718666077},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37770000100135803},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36329999566078186},{"id":"https://openalex.org/C112633086","wikidata":"https://www.wikidata.org/wiki/Q381287","display_name":"White noise","level":2,"score":0.3630000054836273},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.35670000314712524},{"id":"https://openalex.org/C74883015","wikidata":"https://www.wikidata.org/wiki/Q290467","display_name":"Autoregressive\u2013moving-average model","level":3,"score":0.35089999437332153},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.32710000872612},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3111000061035156},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.2955999970436096},{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.28299999237060547},{"id":"https://openalex.org/C163836022","wikidata":"https://www.wikidata.org/wiki/Q6771326","display_name":"Markov model","level":3,"score":0.28029999136924744},{"id":"https://openalex.org/C18653775","wikidata":"https://www.wikidata.org/wiki/Q1333358","display_name":"Joint probability distribution","level":2,"score":0.27320000529289246},{"id":"https://openalex.org/C22629506","wikidata":"https://www.wikidata.org/wiki/Q7602993","display_name":"State-transition matrix","level":4,"score":0.2671999931335449},{"id":"https://openalex.org/C2988995629","wikidata":"https://www.wikidata.org/wiki/Q2915729","display_name":"Matrix algebra","level":3,"score":0.2565000057220459},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.2538999915122986},{"id":"https://openalex.org/C151406439","wikidata":"https://www.wikidata.org/wiki/Q186588","display_name":"Time series","level":2,"score":0.25029999017715454}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2025.3625422","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2025.3625422","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Cybernetics","raw_type":"journal-article"},{"id":"pmid:41196793","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/41196793","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on cybernetics","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5660952937","display_name":null,"funder_award_id":"62273167","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6890222093","display_name":null,"funder_award_id":"HTKJ2024KL502020","funder_id":"https://openalex.org/F4320328373","funder_display_name":"National Key Laboratory Foundation of China"},{"id":"https://openalex.org/G8139849431","display_name":null,"funder_award_id":"BK20221064","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"},{"id":"https://openalex.org/G8291057174","display_name":null,"funder_award_id":"62203187","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322769","display_name":"Natural Science Foundation of Jiangsu Province","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320328373","display_name":"National Key Laboratory Foundation of China","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":52,"referenced_works":["https://openalex.org/W1969118513","https://openalex.org/W2113862745","https://openalex.org/W2140910585","https://openalex.org/W2148492654","https://openalex.org/W2547872176","https://openalex.org/W2745192145","https://openalex.org/W2791775919","https://openalex.org/W2793464405","https://openalex.org/W2884466981","https://openalex.org/W2901505152","https://openalex.org/W2905412785","https://openalex.org/W2921260354","https://openalex.org/W2941911644","https://openalex.org/W2942091291","https://openalex.org/W2950579143","https://openalex.org/W2963006871","https://openalex.org/W2988288654","https://openalex.org/W3004606837","https://openalex.org/W3005874366","https://openalex.org/W3024494744","https://openalex.org/W3039791234","https://openalex.org/W3043521537","https://openalex.org/W3043552674","https://openalex.org/W3097391358","https://openalex.org/W3120171397","https://openalex.org/W3124585076","https://openalex.org/W3135940949","https://openalex.org/W3159630100","https://openalex.org/W3163050210","https://openalex.org/W3166823353","https://openalex.org/W3191116886","https://openalex.org/W3200161806","https://openalex.org/W3210977960","https://openalex.org/W4206263005","https://openalex.org/W4221105257","https://openalex.org/W4225280970","https://openalex.org/W4226213939","https://openalex.org/W4280600760","https://openalex.org/W4293254166","https://openalex.org/W4310471074","https://openalex.org/W4312735521","https://openalex.org/W4317892540","https://openalex.org/W4381429091","https://openalex.org/W4392806285","https://openalex.org/W4393183524","https://openalex.org/W4395063933","https://openalex.org/W4401550878","https://openalex.org/W4403247153","https://openalex.org/W4411425983","https://openalex.org/W4412466696","https://openalex.org/W4413328918","https://openalex.org/W4414302783"],"related_works":[],"abstract_inverted_index":{"This":[0],"article":[1,44],"delves":[2],"into":[3,83],"the":[4,11,26,29,32,37,40,56,60,64,67,70,77,84,89,99,106,109,113,117,128,140,145,150],"exploration":[5],"of":[6,15,39,112],"state-space":[7,71],"methods":[8],"applied":[9],"to":[10,104],"modeling":[12],"and":[13,35,80,120],"estimation":[14,92,142],"systems":[16],"with":[17,144],"time-varying":[18,52,81],"parameters.":[19,65],"While":[20],"typically":[21],"existing":[22],"approaches":[23],"rely":[24],"on":[25,98,108],"assumption":[27],"that":[28,127],"parameters":[30,53,82],"satisfy":[31],"Markov":[33],"evolution":[34],"require":[36],"knowledge":[38,111],"transfer":[41],"matrix,":[42],"this":[43],"develops":[45],"an":[46],"explicit":[47],"autoregressive":[48],"(AR)":[49],"model":[50,72],"for":[51],"in":[54,63],"which":[55],"invariant":[57,78,114],"matrix":[58,79],"represents":[59],"dynamic":[61],"changes":[62],"Unlike":[66],"previous":[68],"work,":[69],"is":[73,95,125],"constructed":[74],"by":[75],"stacking":[76],"unknown":[85],"state":[86,91],"vector.":[87],"Then,":[88],"joint":[90],"(JSE)":[93],"algorithm":[94,130],"deduced":[96],"based":[97],"Kalman":[100],"filtering":[101],"principle,":[102],"aiming":[103],"reduce":[105],"dependence":[107],"prior":[110],"matrix.":[115],"Through":[116],"numerical":[118],"simulation":[119],"Monte":[121],"Carlo":[122],"test,":[123],"it":[124],"indicated":[126],"developed":[129],"maintains":[131],"reliability":[132],"under":[133],"various":[134],"random":[135],"white":[136],"noises.":[137],"In":[138],"addition,":[139],"practical":[141],"results":[143],"real-time":[146],"series":[147],"also":[148],"verify":[149],"validity.":[151]},"counts_by_year":[{"year":2026,"cited_by_count":11},{"year":2025,"cited_by_count":6}],"updated_date":"2026-04-14T08:04:32.555800","created_date":"2025-11-06T00:00:00"}
