{"id":"https://openalex.org/W2106251786","doi":"https://doi.org/10.1109/cdc.2010.5717949","title":"Characterization of exponential divergence of the Kalman filter for time-varying systems","display_name":"Characterization of exponential divergence of the Kalman filter for time-varying systems","publication_year":2010,"publication_date":"2010-12-01","ids":{"openalex":"https://openalex.org/W2106251786","doi":"https://doi.org/10.1109/cdc.2010.5717949","mag":"2106251786"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2010.5717949","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2010.5717949","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"49th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-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/A5047167568","display_name":"Eduardo F. Costa","orcid":"https://orcid.org/0000-0002-9067-9234"},"institutions":[{"id":"https://openalex.org/I17974374","display_name":"Universidade de S\u00e3o Paulo","ror":"https://ror.org/036rp1748","country_code":"BR","type":"education","lineage":["https://openalex.org/I17974374"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Eduardo F. Costa","raw_affiliation_strings":["Departmento de Matem\u00e1tica Aplicada e Estat\u00edstica, Universidade de S\u00e1o Paulo, Sao Paulo, Brazil"],"affiliations":[{"raw_affiliation_string":"Departmento de Matem\u00e1tica Aplicada e Estat\u00edstica, Universidade de S\u00e1o Paulo, Sao Paulo, Brazil","institution_ids":["https://openalex.org/I17974374"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018225150","display_name":"Alessandro Astolfi","orcid":"https://orcid.org/0000-0002-4331-454X"},"institutions":[{"id":"https://openalex.org/I116067653","display_name":"University of Rome Tor Vergata","ror":"https://ror.org/02p77k626","country_code":"IT","type":"education","lineage":["https://openalex.org/I116067653"]},{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB","IT"],"is_corresponding":false,"raw_author_name":"Alessandro Astolfi","raw_affiliation_strings":["Dipartimento di Informatica, Sistemi e Produzione, Universit\u00e0 di Roma Tor Vergata, Rome, Italy","Electrical and Electronic Engineering Department, Imperial College London, London, UK"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Informatica, Sistemi e Produzione, Universit\u00e0 di Roma Tor Vergata, Rome, Italy","institution_ids":["https://openalex.org/I116067653"]},{"raw_affiliation_string":"Electrical and Electronic Engineering Department, Imperial College London, London, UK","institution_ids":["https://openalex.org/I47508984"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5047167568"],"corresponding_institution_ids":["https://openalex.org/I17974374"],"apc_list":null,"apc_paid":null,"fwci":0.9021,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.80966823,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"52","issue":null,"first_page":"1306","last_page":"1311"},"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":0.9991000294685364,"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":0.9991000294685364,"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":0.9984999895095825,"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":0.9980999827384949,"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/kalman-filter","display_name":"Kalman filter","score":0.8134474754333496},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.5785972476005554},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5745642185211182},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5555812120437622},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.5541446208953857},{"id":"https://openalex.org/keywords/invariant-extended-kalman-filter","display_name":"Invariant extended Kalman filter","score":0.541704535484314},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5340579748153687},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5009117126464844},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.49289488792419434},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48451608419418335},{"id":"https://openalex.org/keywords/extended-kalman-filter","display_name":"Extended Kalman filter","score":0.46928131580352783},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4688238799571991},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4410630464553833},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.43857407569885254},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.41449517011642456},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1527952253818512},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10114133358001709},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0974794328212738},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.07107341289520264},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.06682488322257996}],"concepts":[{"id":"https://openalex.org/C157286648","wikidata":"https://www.wikidata.org/wiki/Q846780","display_name":"Kalman filter","level":2,"score":0.8134474754333496},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.5785972476005554},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5745642185211182},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5555812120437622},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.5541446208953857},{"id":"https://openalex.org/C8639503","wikidata":"https://www.wikidata.org/wiki/Q6059511","display_name":"Invariant extended Kalman filter","level":4,"score":0.541704535484314},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5340579748153687},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5009117126464844},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.49289488792419434},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48451608419418335},{"id":"https://openalex.org/C206833254","wikidata":"https://www.wikidata.org/wiki/Q5421817","display_name":"Extended Kalman filter","level":3,"score":0.46928131580352783},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4688238799571991},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4410630464553833},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.43857407569885254},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.41449517011642456},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1527952253818512},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10114133358001709},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0974794328212738},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.07107341289520264},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.06682488322257996},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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/cdc.2010.5717949","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2010.5717949","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"49th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:art.torvergata.it:2108/10070","is_oa":false,"landing_page_url":"http://hdl.handle.net/2108/10070","pdf_url":null,"source":{"id":"https://openalex.org/S4306400993","display_name":"Cineca Institutional Research Information System (Tor Vergata University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I116067653","host_organization_name":"University of Rome Tor Vergata","host_organization_lineage":["https://openalex.org/I116067653"],"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/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1551784909","https://openalex.org/W1572031236","https://openalex.org/W1572280442","https://openalex.org/W2001332000","https://openalex.org/W2019063098","https://openalex.org/W2026750739","https://openalex.org/W2028808207","https://openalex.org/W2051234657","https://openalex.org/W2061903321","https://openalex.org/W2063799102","https://openalex.org/W2064861110","https://openalex.org/W2068090215","https://openalex.org/W2076712618","https://openalex.org/W2093735221","https://openalex.org/W2097509729","https://openalex.org/W2110489756","https://openalex.org/W2115064874","https://openalex.org/W2129695524","https://openalex.org/W2132937713","https://openalex.org/W2138953630","https://openalex.org/W2151231006","https://openalex.org/W2162719021","https://openalex.org/W2167091066","https://openalex.org/W2168022335","https://openalex.org/W4231011685"],"related_works":["https://openalex.org/W1035502194","https://openalex.org/W4206024512","https://openalex.org/W2164404293","https://openalex.org/W2053335193","https://openalex.org/W4300476109","https://openalex.org/W2772311278","https://openalex.org/W4205759170","https://openalex.org/W2354299011","https://openalex.org/W4385993860","https://openalex.org/W4302337189"],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2],"semistability":[3,95],"of":[4,12,44,66,105],"the":[5,10,32,45,64,82,103],"recursive":[6],"Kalman":[7],"filter":[8,46],"in":[9,102],"context":[11,104],"linear":[13,83],"time-varying":[14],"(LTV),":[15],"possibly":[16],"nondetectable":[17],"systems":[18],"with":[19],"incorrect":[20],"noise":[21],"information.":[22],"Semistability":[23],"is":[24],"a":[25,49],"key":[26],"property,":[27],"as":[28,69],"it":[29],"ensures":[30],"that":[31],"actual":[33],"estimation":[34],"error":[35],"does":[36,58],"not":[37,59,79],"diverge":[38],"exponentially.":[39],"We":[40],"explore":[41],"structural":[42],"properties":[43],"to":[47,74,91],"obtain":[48,75,88],"necessary":[50],"and":[51,77,96],"sufficient":[52],"condition":[53,57],"for":[54,94],"semistability.":[55],"The":[56],"involve":[60],"limiting":[61],"gains":[62],"nor":[63],"solution":[65],"Riccati":[67],"equations,":[68],"they":[70],"can":[71],"be":[72],"difficult":[73],"numerically":[76],"may":[78],"exist.":[80],"In":[81],"time":[84],"invariant":[85],"scenario":[86],"we":[87],"algebraic,":[89],"easy":[90],"test":[92],"conditions":[93],"stability,":[97],"which":[98],"complement":[99],"results":[100],"available":[101],"detectable":[106],"systems.":[107],"Illustrative":[108],"examples":[109],"are":[110],"included.":[111]},"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}