{"id":"https://openalex.org/W3000850589","doi":"https://doi.org/10.1109/tac.2021.3082504","title":"Set-Membership Filter for Discrete-Time Nonlinear Systems Using State-Dependent Coefficient Parameterization","display_name":"Set-Membership Filter for Discrete-Time Nonlinear Systems Using State-Dependent Coefficient Parameterization","publication_year":2021,"publication_date":"2021-05-20","ids":{"openalex":"https://openalex.org/W3000850589","doi":"https://doi.org/10.1109/tac.2021.3082504","mag":"3000850589"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2021.3082504","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2021.3082504","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2001.06562","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081992501","display_name":"Diganta Bhattacharjee","orcid":"https://orcid.org/0000-0002-3024-5936"},"institutions":[{"id":"https://openalex.org/I189196454","display_name":"The University of Texas at Arlington","ror":"https://ror.org/019kgqr73","country_code":"US","type":"education","lineage":["https://openalex.org/I189196454"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Diganta Bhattacharjee","raw_affiliation_strings":["Department of Mechanical and Aerospace Engineering, University of Texas at Arlington, Arlington, TX, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Aerospace Engineering, University of Texas at Arlington, Arlington, TX, USA","institution_ids":["https://openalex.org/I189196454"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057626643","display_name":"Kamesh Subbarao","orcid":"https://orcid.org/0000-0003-4295-3224"},"institutions":[{"id":"https://openalex.org/I189196454","display_name":"The University of Texas at Arlington","ror":"https://ror.org/019kgqr73","country_code":"US","type":"education","lineage":["https://openalex.org/I189196454"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kamesh Subbarao","raw_affiliation_strings":["Department of Mechanical and Aerospace Engineering, University of Texas at Arlington, Arlington, TX, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Aerospace Engineering, University of Texas at Arlington, Arlington, TX, USA","institution_ids":["https://openalex.org/I189196454"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5081992501"],"corresponding_institution_ids":["https://openalex.org/I189196454"],"apc_list":null,"apc_paid":null,"fwci":0.4159,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.58514141,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"67","issue":"2","first_page":"894","last_page":"901"},"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9991000294685364,"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":0.9973999857902527,"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/nonlinear-system","display_name":"Nonlinear system","score":0.645916223526001},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6430530548095703},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.6000821590423584},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5876346230506897},{"id":"https://openalex.org/keywords/ellipsoid","display_name":"Ellipsoid","score":0.5361606478691101},{"id":"https://openalex.org/keywords/kalman-filter","display_name":"Kalman filter","score":0.5211632251739502},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5025534629821777},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4915061891078949},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4708002805709839},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4533989429473877},{"id":"https://openalex.org/keywords/taylor-series","display_name":"Taylor series","score":0.4102638065814972},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.34317147731781006},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.340759813785553},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2600063383579254},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15418899059295654},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07308381795883179}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.645916223526001},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6430530548095703},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.6000821590423584},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5876346230506897},{"id":"https://openalex.org/C57489055","wikidata":"https://www.wikidata.org/wiki/Q190046","display_name":"Ellipsoid","level":2,"score":0.5361606478691101},{"id":"https://openalex.org/C157286648","wikidata":"https://www.wikidata.org/wiki/Q846780","display_name":"Kalman filter","level":2,"score":0.5211632251739502},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5025534629821777},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4915061891078949},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4708002805709839},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4533989429473877},{"id":"https://openalex.org/C158946198","wikidata":"https://www.wikidata.org/wiki/Q131187","display_name":"Taylor series","level":2,"score":0.4102638065814972},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.34317147731781006},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.340759813785553},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2600063383579254},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15418899059295654},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07308381795883179},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","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/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tac.2021.3082504","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2021.3082504","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2001.06562","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2001.06562","pdf_url":"https://arxiv.org/pdf/2001.06562","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:3000850589","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2001.06562.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.2001.06562","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2001.06562","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2001.06562","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2001.06562","pdf_url":"https://arxiv.org/pdf/2001.06562","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1422734703","display_name":null,"funder_award_id":"N00014-18-1-2215","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"}],"funders":[{"id":"https://openalex.org/F4320335353","display_name":"National Science Foundation of Sri Lanka","ror":"https://ror.org/010xaa060"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W842121523","https://openalex.org/W1599873380","https://openalex.org/W1804494423","https://openalex.org/W1966891634","https://openalex.org/W2023285936","https://openalex.org/W2028394421","https://openalex.org/W2035353397","https://openalex.org/W2047397174","https://openalex.org/W2066268967","https://openalex.org/W2085890234","https://openalex.org/W2100621899","https://openalex.org/W2102194164","https://openalex.org/W2103988321","https://openalex.org/W2107672511","https://openalex.org/W2112015490","https://openalex.org/W2115145776","https://openalex.org/W2116826317","https://openalex.org/W2124826205","https://openalex.org/W2128889010","https://openalex.org/W2129863797","https://openalex.org/W2130374522","https://openalex.org/W2149371065","https://openalex.org/W2161362637","https://openalex.org/W2182510773","https://openalex.org/W2536620281","https://openalex.org/W2801555652","https://openalex.org/W2886428618","https://openalex.org/W2912522929","https://openalex.org/W2920450711","https://openalex.org/W3210839039","https://openalex.org/W4236076921","https://openalex.org/W4294968333","https://openalex.org/W4302585512"],"related_works":["https://openalex.org/W3165189920","https://openalex.org/W1952674269","https://openalex.org/W2014319950","https://openalex.org/W1831474212","https://openalex.org/W2106036032","https://openalex.org/W2564196157","https://openalex.org/W3094460945","https://openalex.org/W2888272924","https://openalex.org/W2134494829","https://openalex.org/W23526363","https://openalex.org/W2075418633","https://openalex.org/W2015511435","https://openalex.org/W2004049542","https://openalex.org/W2078050262","https://openalex.org/W2782573699","https://openalex.org/W2034159607","https://openalex.org/W2332040869","https://openalex.org/W2067873376","https://openalex.org/W3102429408","https://openalex.org/W2033302256"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"a":[3,30,69,90,131],"recursive":[4],"set-membership":[5],"filtering":[6],"algorithm":[7,73],"for":[8],"discrete-time":[9],"nonlinear":[10,25],"dynamical":[11],"systems":[12],"subject":[13],"to":[14,44,136],"unknown":[15],"but":[16],"bounded":[17],"process":[18],"and":[19,82,111],"measurement":[20],"noises":[21],"is":[22,93,134],"proposed.":[23],"The":[24],"dynamics":[26],"are":[27,42,65,114],"represented":[28],"in":[29,60],"pseudolinear":[31],"form":[32],"using":[33,68],"the":[34,46,50,56,61,83,88,97,101,118,122,126,138,141],"state-dependent":[35,47],"coefficient":[36],"(SDC)":[37],"parameterization.":[38],"Matrix":[39],"Taylor":[40,63],"expansions":[41,64],"utilized":[43],"expand":[45],"matrices":[48],"about":[49],"state":[51,120],"estimates.":[52],"Upper":[53],"bounds":[54,81],"on":[55],"norms":[57],"of":[58,87,100,121,140],"remainders":[59],"matrix":[62],"calculated":[66],"online":[67],"nonadaptive":[70],"random":[71],"search":[72],"at":[74],"each":[75,107],"time":[76,108],"step.":[77],"Utilizing":[78],"these":[79],"upper":[80],"ellipsoidal":[84],"set":[85],"description":[86],"uncertainties,":[89],"two-step":[91],"filter":[92,104],"derived":[94],"that":[95,116],"utilizes":[96],"\u201ccorrection\u2013prediction\u201d":[98],"structure":[99],"standard":[102],"Kalman":[103],"variants.":[105],"At":[106],"step,":[109],"correction":[110],"prediction":[112],"ellipsoids":[113],"constructed":[115],"contain":[117],"true":[119],"system":[123],"by":[124],"solving":[125],"corresponding":[127],"semidefinite":[128],"programs.":[129],"Finally,":[130],"simulation":[132],"example":[133],"included":[135],"illustrate":[137],"effectiveness":[139],"proposed":[142],"approach.":[143]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2022-07-26T00:00:00"}