{"id":"https://openalex.org/W2903112687","doi":"https://doi.org/10.1186/s13634-018-0594-0","title":"On the statistical convergence of bias in mode-based Kalman filter for switched systems","display_name":"On the statistical convergence of bias in mode-based Kalman filter for switched systems","publication_year":2018,"publication_date":"2018-11-28","ids":{"openalex":"https://openalex.org/W2903112687","doi":"https://doi.org/10.1186/s13634-018-0594-0","mag":"2903112687"},"language":"en","primary_location":{"id":"doi:10.1186/s13634-018-0594-0","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s13634-018-0594-0","pdf_url":"https://asp-eurasipjournals.springeropen.com/track/pdf/10.1186/s13634-018-0594-0","source":{"id":"https://openalex.org/S35920007","display_name":"EURASIP Journal on Advances in Signal Processing","issn_l":"1687-6172","issn":["1687-6172","1687-6180"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Advances in Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://asp-eurasipjournals.springeropen.com/track/pdf/10.1186/s13634-018-0594-0","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101905419","display_name":"Wenji Zhang","orcid":"https://orcid.org/0000-0002-8833-4480"},"institutions":[{"id":"https://openalex.org/I189590672","display_name":"Kansas State University","ror":"https://ror.org/05p1j8758","country_code":"US","type":"education","lineage":["https://openalex.org/I189590672"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Wenji Zhang","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Kansas State University, 1701D Platt St., Manhattan, 66506, KS, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Kansas State University, 1701D Platt St., Manhattan, 66506, KS, USA","institution_ids":["https://openalex.org/I189590672"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003778401","display_name":"Balasubramaniam Natarajan","orcid":"https://orcid.org/0000-0001-6429-9003"},"institutions":[{"id":"https://openalex.org/I189590672","display_name":"Kansas State University","ror":"https://ror.org/05p1j8758","country_code":"US","type":"education","lineage":["https://openalex.org/I189590672"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Balasubramaniam Natarajan","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Kansas State University, 1701D Platt St., Manhattan, 66506, KS, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Kansas State University, 1701D Platt St., Manhattan, 66506, KS, USA","institution_ids":["https://openalex.org/I189590672"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101905419"],"corresponding_institution_ids":["https://openalex.org/I189590672"],"apc_list":{"value":1140,"currency":"GBP","value_usd":1398},"apc_paid":{"value":1140,"currency":"GBP","value_usd":1398},"fwci":0.1872,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.53150078,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2018","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9994000196456909,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9994000196456909,"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/T10917","display_name":"Smart Grid Security and Resilience","score":0.9958999752998352,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.988099992275238,"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/computer-science","display_name":"Computer science","score":0.6199229955673218},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6016557216644287},{"id":"https://openalex.org/keywords/kalman-filter","display_name":"Kalman filter","score":0.5609822869300842},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.4874108135700226},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.45793652534484863},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4567834138870239},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4386717677116394},{"id":"https://openalex.org/keywords/hybrid-system","display_name":"Hybrid system","score":0.4271276593208313},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.42297032475471497},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4208589792251587},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.41162052750587463},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29814082384109497},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2430194616317749},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.14338013529777527}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6199229955673218},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6016557216644287},{"id":"https://openalex.org/C157286648","wikidata":"https://www.wikidata.org/wiki/Q846780","display_name":"Kalman filter","level":2,"score":0.5609822869300842},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4874108135700226},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.45793652534484863},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4567834138870239},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4386717677116394},{"id":"https://openalex.org/C50897621","wikidata":"https://www.wikidata.org/wiki/Q2665508","display_name":"Hybrid system","level":2,"score":0.4271276593208313},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.42297032475471497},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4208589792251587},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.41162052750587463},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29814082384109497},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2430194616317749},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.14338013529777527},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1186/s13634-018-0594-0","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s13634-018-0594-0","pdf_url":"https://asp-eurasipjournals.springeropen.com/track/pdf/10.1186/s13634-018-0594-0","source":{"id":"https://openalex.org/S35920007","display_name":"EURASIP Journal on Advances in Signal Processing","issn_l":"1687-6172","issn":["1687-6172","1687-6180"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Advances in Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:8c5f7994d3f946b98f15d9816704c823","is_oa":true,"landing_page_url":"https://doaj.org/article/8c5f7994d3f946b98f15d9816704c823","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"EURASIP Journal on Advances in Signal Processing, Vol 2018, Iss 1, Pp 1-15 (2018)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1186/s13634-018-0594-0","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s13634-018-0594-0","pdf_url":"https://asp-eurasipjournals.springeropen.com/track/pdf/10.1186/s13634-018-0594-0","source":{"id":"https://openalex.org/S35920007","display_name":"EURASIP Journal on Advances in Signal Processing","issn_l":"1687-6172","issn":["1687-6172","1687-6180"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Advances in Signal Processing","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure","score":0.6299999952316284}],"awards":[{"id":"https://openalex.org/G5440936483","display_name":"CPS: Synergy: Architecture for Future Distribution Systems Including Active Consumers with Rooftop Solar Generation","funder_award_id":"1544705","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6603931590","display_name":null,"funder_award_id":"CNS-1544705","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2903112687.pdf","grobid_xml":"https://content.openalex.org/works/W2903112687.grobid-xml"},"referenced_works_count":55,"referenced_works":["https://openalex.org/W19346916","https://openalex.org/W1487119666","https://openalex.org/W1489726963","https://openalex.org/W1490978409","https://openalex.org/W1520512494","https://openalex.org/W1552094772","https://openalex.org/W1592367452","https://openalex.org/W1597261603","https://openalex.org/W1642990561","https://openalex.org/W1827189078","https://openalex.org/W1965894945","https://openalex.org/W1985848447","https://openalex.org/W1987571991","https://openalex.org/W1991441322","https://openalex.org/W1991656001","https://openalex.org/W1995458791","https://openalex.org/W2014312433","https://openalex.org/W2045633984","https://openalex.org/W2050428100","https://openalex.org/W2058393243","https://openalex.org/W2062974796","https://openalex.org/W2073290103","https://openalex.org/W2083645139","https://openalex.org/W2084970142","https://openalex.org/W2104958104","https://openalex.org/W2112034987","https://openalex.org/W2117397690","https://openalex.org/W2118512695","https://openalex.org/W2121712307","https://openalex.org/W2129482594","https://openalex.org/W2131751640","https://openalex.org/W2137318400","https://openalex.org/W2138802309","https://openalex.org/W2143181390","https://openalex.org/W2144686180","https://openalex.org/W2145938889","https://openalex.org/W2147556100","https://openalex.org/W2147681348","https://openalex.org/W2159591388","https://openalex.org/W2161244654","https://openalex.org/W2164522996","https://openalex.org/W2175449192","https://openalex.org/W2188244809","https://openalex.org/W2288749826","https://openalex.org/W2344154382","https://openalex.org/W2500863573","https://openalex.org/W2578693292","https://openalex.org/W2586522165","https://openalex.org/W2588695870","https://openalex.org/W2886422412","https://openalex.org/W3100037161","https://openalex.org/W3103338616","https://openalex.org/W4210618399","https://openalex.org/W4238257903","https://openalex.org/W4300695752"],"related_works":["https://openalex.org/W1580685205","https://openalex.org/W2760382975","https://openalex.org/W3191856393","https://openalex.org/W2349716249","https://openalex.org/W1593898832","https://openalex.org/W2014288333","https://openalex.org/W2060195842","https://openalex.org/W2561514193","https://openalex.org/W2726491672","https://openalex.org/W2727848812"],"abstract_inverted_index":{"Many":[0],"physical":[1],"and":[2,10,16,61,182,198,203],"engineered":[3],"systems":[4,29,82],"(e.g.,":[5],"smart":[6,190],"grid,":[7],"autonomous":[8,148],"vehicles,":[9],"robotic":[11],"systems)":[12],"that":[13,141,168],"are":[14,66],"observed":[15],"controlled":[17],"over":[18],"a":[19,37,57,77,116,136,189],"communication/cyber":[20],"infrastructure":[21],"can":[22],"be":[23],"efficiently":[24],"modeled":[25],"as":[26,56],"stochastic":[27],"hybrid":[28],"(SHS).":[30],"This":[31,72],"paper":[32],"quantifies":[33],"the":[34,53,62,84,101,113,121,129,146,153,162,176,200,205,209],"bias":[35,54,114,177],"of":[36,80,103,112,123,131,145,152,155,164,175,188,207],"mode-based":[38,117],"Kalman":[39,118],"filter":[40,119],"commonly":[41],"used":[42],"for":[43,109,179],"state":[44],"estimation":[45],"in":[46,115,120,211],"SHS.":[47,184],"The":[48],"main":[49],"approach":[50],"involves":[51],"modeling":[52],"dynamics":[55,178],"transformed":[58],"switched":[59,104,149],"system":[60,150],"transitions":[63],"across":[64],"modes":[65,85],"abstracted":[67],"via":[68],"arbitrary":[69],"switching":[70],"signals.":[71],"general":[73],"model":[74],"effectively":[75],"captures":[76],"wide":[78],"range":[79,163],"SHS":[81],"where":[83],"may":[86],"follow":[87],"deterministic,":[88],"Markovian,":[89],"or":[90],"guard":[91],"condition":[92,140],"based":[93],"transitions.":[94],"By":[95],"leveraging":[96],"techniques":[97],"developed":[98],"to":[99],"analyze":[100],"stability":[102,144,174],"systems,":[105],"we":[106,134,160,196],"derive":[107],"conditions":[108],"statistical":[110],"convergence":[111],"presence":[122],"mode":[124,156,165],"mismatch":[125,157,166],"errors.":[126],"Developed":[127],"upon":[128],"foundations":[130],"Lyapunov":[132],"theory,":[133],"demonstrate":[135,204],"linear":[137],"matrix":[138],"inequality":[139],"guarantees":[142],"asymptotic":[143],"corresponding":[147],"irrespective":[151],"choice":[154],"probability.":[158],"Furthermore,":[159],"obtain":[161],"probabilities":[167],"assures":[169],"bounded":[170,172],"input":[171],"output":[173],"both":[180],"stable":[181],"unstable":[183],"Using":[185],"numerical":[186],"simulations":[187],"grid":[191],"with":[192],"network":[193],"topology":[194],"errors,":[195],"verify":[197],"validate":[199],"theoretical":[201],"results":[202],"potency":[206],"using":[208],"analysis":[210],"critical":[212],"infrastructures.":[213]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}