{"id":"https://openalex.org/W2804896512","doi":"https://doi.org/10.1109/tcsi.2018.2832229","title":"Fault Detection for Linear Discrete Time-Varying Systems With Multiplicative Noise: The Finite-Horizon Case","display_name":"Fault Detection for Linear Discrete Time-Varying Systems With Multiplicative Noise: The Finite-Horizon Case","publication_year":2018,"publication_date":"2018-05-22","ids":{"openalex":"https://openalex.org/W2804896512","doi":"https://doi.org/10.1109/tcsi.2018.2832229","mag":"2804896512"},"language":"en","primary_location":{"id":"doi:10.1109/tcsi.2018.2832229","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2018.2832229","pdf_url":null,"source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"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 Circuits and Systems I: Regular Papers","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/A5100617027","display_name":"Yueyang Li","orcid":"https://orcid.org/0000-0002-1614-0302"},"institutions":[{"id":"https://openalex.org/I34949971","display_name":"University of Jinan","ror":"https://ror.org/02mjz6f26","country_code":"CN","type":"education","lineage":["https://openalex.org/I34949971"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yueyang Li","raw_affiliation_strings":["School of Electrical Engineering, University of Jinan, Jinan, China"],"raw_orcid":"https://orcid.org/0000-0002-1614-0302","affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, University of Jinan, Jinan, China","institution_ids":["https://openalex.org/I34949971"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090855504","display_name":"Hamid Reza Karimi","orcid":"https://orcid.org/0000-0001-7629-3266"},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Hamid Reza Karimi","raw_affiliation_strings":["Department of Mechanical Engineering, Politecnico di Milano, Milan, Italy"],"raw_orcid":"https://orcid.org/0000-0001-7629-3266","affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Politecnico di Milano, Milan, Italy","institution_ids":["https://openalex.org/I93860229"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057357799","display_name":"Maiying Zhong","orcid":"https://orcid.org/0000-0001-5800-1637"},"institutions":[{"id":"https://openalex.org/I80143920","display_name":"Shandong University of Science and Technology","ror":"https://ror.org/04gtjhw98","country_code":"CN","type":"education","lineage":["https://openalex.org/I80143920"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Maiying Zhong","raw_affiliation_strings":["College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao, China"],"raw_orcid":"https://orcid.org/0000-0001-5800-1637","affiliations":[{"raw_affiliation_string":"College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao, China","institution_ids":["https://openalex.org/I80143920"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046071840","display_name":"Steven X. Ding","orcid":"https://orcid.org/0000-0002-5149-5918"},"institutions":[{"id":"https://openalex.org/I62318514","display_name":"University of Duisburg-Essen","ror":"https://ror.org/04mz5ra38","country_code":"DE","type":"education","lineage":["https://openalex.org/I62318514"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Steven X. Ding","raw_affiliation_strings":["Institute for Automatic Control and Complex Systems, University of Duisburg-Essen, Duisburg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Automatic Control and Complex Systems, University of Duisburg-Essen, Duisburg, Germany","institution_ids":["https://openalex.org/I62318514"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031757773","display_name":"Shuai Liu","orcid":"https://orcid.org/0000-0002-9412-1430"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shuai Liu","raw_affiliation_strings":["School of Control Science and Engineering, Shandong University, Jinan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Control Science and Engineering, Shandong University, Jinan, China","institution_ids":["https://openalex.org/I154099455"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.3209,"has_fulltext":false,"cited_by_count":72,"citation_normalized_percentile":{"value":0.97677044,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"65","issue":"10","first_page":"3492","last_page":"3505"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","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/T10876","display_name":"Fault Detection and Control Systems","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/T11236","display_name":"Control Systems and Identification","score":0.9990000128746033,"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":0.9976000189781189,"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/robustness","display_name":"Robustness (evolution)","score":0.6531376838684082},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.6417602896690369},{"id":"https://openalex.org/keywords/fault-detection-and-isolation","display_name":"Fault detection and isolation","score":0.5750712156295776},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.5377222895622253},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5232495069503784},{"id":"https://openalex.org/keywords/multiplicative-noise","display_name":"Multiplicative noise","score":0.5176723003387451},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4578070342540741},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4511040449142456},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.42997533082962036},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.42239412665367126},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.4100171625614166},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3856324553489685},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3834232687950134}],"concepts":[{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6531376838684082},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.6417602896690369},{"id":"https://openalex.org/C152745839","wikidata":"https://www.wikidata.org/wiki/Q5438153","display_name":"Fault detection and isolation","level":3,"score":0.5750712156295776},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.5377222895622253},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5232495069503784},{"id":"https://openalex.org/C18015164","wikidata":"https://www.wikidata.org/wiki/Q6935000","display_name":"Multiplicative noise","level":5,"score":0.5176723003387451},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4578070342540741},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4511040449142456},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.42997533082962036},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.42239412665367126},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.4100171625614166},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3856324553489685},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3834232687950134},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C131021393","wikidata":"https://www.wikidata.org/wiki/Q7512759","display_name":"Signal transfer function","level":4,"score":0.0},{"id":"https://openalex.org/C13412647","wikidata":"https://www.wikidata.org/wiki/Q174948","display_name":"Analog signal","level":3,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C172707124","wikidata":"https://www.wikidata.org/wiki/Q423488","display_name":"Actuator","level":2,"score":0.0},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.0},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcsi.2018.2832229","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2018.2832229","pdf_url":null,"source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"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 Circuits and Systems I: Regular Papers","raw_type":"journal-article"},{"id":"pmh:oai:re.public.polimi.it:11311/1103185","is_oa":false,"landing_page_url":"http://hdl.handle.net/11311/1103185","pdf_url":null,"source":{"id":"https://openalex.org/S4306400312","display_name":"Virtual Community of Pathological Anatomy (University of Castilla La Mancha)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79189158","host_organization_name":"University of Castilla-La Mancha","host_organization_lineage":["https://openalex.org/I79189158"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3397010727","display_name":null,"funder_award_id":"B17017","funder_id":"https://openalex.org/F4320335785","funder_display_name":"Project 211"},{"id":"https://openalex.org/G3424294716","display_name":null,"funder_award_id":"ZR2018MF021","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G4018278132","display_name":"\u4e00\u7c7b\u6a21\u578b\u4e0d\u786e\u5b9a\u95ed\u73af\u975e\u7ebf\u6027\u63a7\u5236\u7cfb\u7edf\u7684\u6545\u969c\u8bca\u65ad\u7814\u7a76\u53ca\u5e94\u7528\u9a8c\u8bc1","funder_award_id":"61333005","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5180670427","display_name":null,"funder_award_id":"61773242","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6794700486","display_name":null,"funder_award_id":"ZR2017QF007","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G8400629925","display_name":null,"funder_award_id":"61733009","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/F4320324174","display_name":"Natural Science Foundation of Shandong Province","ror":null},{"id":"https://openalex.org/F4320326185","display_name":"Taishan Scholar Foundation of Shandong Province","ror":null},{"id":"https://openalex.org/F4320335785","display_name":"Project 211","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":59,"referenced_works":["https://openalex.org/W56139714","https://openalex.org/W90884558","https://openalex.org/W108857541","https://openalex.org/W235532798","https://openalex.org/W1036646437","https://openalex.org/W1134600101","https://openalex.org/W1499763376","https://openalex.org/W1595402987","https://openalex.org/W1679267374","https://openalex.org/W1912023585","https://openalex.org/W1915554836","https://openalex.org/W1953366807","https://openalex.org/W1969198007","https://openalex.org/W1969691520","https://openalex.org/W1978055313","https://openalex.org/W1993446335","https://openalex.org/W2001097947","https://openalex.org/W2001715162","https://openalex.org/W2006090378","https://openalex.org/W2026755043","https://openalex.org/W2036628307","https://openalex.org/W2051234657","https://openalex.org/W2051746251","https://openalex.org/W2054819464","https://openalex.org/W2058944907","https://openalex.org/W2065313971","https://openalex.org/W2069798614","https://openalex.org/W2074957607","https://openalex.org/W2077576517","https://openalex.org/W2107221565","https://openalex.org/W2108051375","https://openalex.org/W2117864358","https://openalex.org/W2129904672","https://openalex.org/W2136095929","https://openalex.org/W2153792990","https://openalex.org/W2167229292","https://openalex.org/W2168860990","https://openalex.org/W2181410124","https://openalex.org/W2253637290","https://openalex.org/W2319723545","https://openalex.org/W2327986864","https://openalex.org/W2342813089","https://openalex.org/W2342925121","https://openalex.org/W2462438590","https://openalex.org/W2495650206","https://openalex.org/W2543524687","https://openalex.org/W2554580583","https://openalex.org/W2560234987","https://openalex.org/W2565402117","https://openalex.org/W2588638671","https://openalex.org/W2605310220","https://openalex.org/W2761509076","https://openalex.org/W2762181132","https://openalex.org/W2767314896","https://openalex.org/W2791419106","https://openalex.org/W2796281443","https://openalex.org/W3210839039","https://openalex.org/W4231197448","https://openalex.org/W6745133170"],"related_works":["https://openalex.org/W4287812451","https://openalex.org/W3022718941","https://openalex.org/W2150219835","https://openalex.org/W1996414039","https://openalex.org/W2506602630","https://openalex.org/W3097284316","https://openalex.org/W2173274883","https://openalex.org/W2096333878","https://openalex.org/W2762711590","https://openalex.org/W2072007764"],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2],"the":[3,44,63,70,76,83,91,109,133],"problem":[4],"of":[5,46,90,116,123,135],"fault":[6,27,39],"detection":[7,28],"for":[8,38,120],"linear":[9,124],"discrete":[10],"time-varying":[11],"systems":[12],"with":[13],"multiplicative":[14],"noise":[15],"in":[16,43,69,95],"finite-horizon,":[17],"where":[18],"our":[19,136],"main":[20],"object":[21],"is":[22,41,106,129],"to":[23,62,131],"provide":[24],"an":[25,96,113],"optimal":[26,117],"filter":[29,64,92],"(FDF)":[30],"design":[31,65,119],"scheme":[32],"such":[33,59],"that":[34,60,108],"stochastic":[35],"sensitivity/robustness":[36],"ratio":[37],"diagnosis":[40],"maximized":[42],"sense":[45],"probability":[47],"1.":[48],"An":[49,127],"operator-aided":[50,85],"optimization":[51],"approach":[52],"and":[53],"a":[54],"generalized":[55],"FDF":[56,118],"are":[57,67,79,93],"proposed":[58,84],"solutions":[61,78],"issues":[66],"derived":[68],"operator":[71],"forms.":[72],"The":[73,87],"relationships":[74],"among":[75],"deduced":[77],"explicitly":[80],"revealed":[81],"via":[82],"methodology.":[86],"parameter":[88],"matrices":[89],"computed":[94],"analytical":[97],"way":[98],"by":[99],"solving":[100],"some":[101,121],"recursive":[102],"matrix":[103],"equations.":[104],"It":[105],"shown":[107],"addressed":[110],"approaches":[111],"establish":[112],"operator-based":[114],"framework":[115],"categories":[122],"discrete-time":[125],"systems.":[126],"example":[128],"given":[130],"illustrate":[132],"efficacy":[134],"algorithms.":[137]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":11},{"year":2019,"cited_by_count":29},{"year":2018,"cited_by_count":5}],"updated_date":"2026-07-17T09:13:05.818461","created_date":"2025-10-10T00:00:00"}