{"id":"https://openalex.org/W3006153562","doi":"https://doi.org/10.1177/0142331219895711","title":"Non-linear filtering for bilinear stochastic differential systems: A Stratonovich perspective","display_name":"Non-linear filtering for bilinear stochastic differential systems: A Stratonovich perspective","publication_year":2020,"publication_date":"2020-02-10","ids":{"openalex":"https://openalex.org/W3006153562","doi":"https://doi.org/10.1177/0142331219895711","mag":"3006153562"},"language":"en","primary_location":{"id":"doi:10.1177/0142331219895711","is_oa":false,"landing_page_url":"https://doi.org/10.1177/0142331219895711","pdf_url":null,"source":{"id":"https://openalex.org/S24148485","display_name":"Transactions of the Institute of Measurement and Control","issn_l":"0142-3312","issn":["0142-3312","1477-0369"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Transactions of the Institute of Measurement and Control","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/A5046830951","display_name":"Sandhya Rathore","orcid":null},"institutions":[{"id":"https://openalex.org/I42014448","display_name":"Sardar Vallabhbhai National Institute of Technology Surat","ror":"https://ror.org/02y394t43","country_code":"IN","type":"education","lineage":["https://openalex.org/I42014448"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Sandhya Rathore","raw_affiliation_strings":["Electrical Engineering Department, Sardar Vallabhbhai National Institute of Technology, India"],"affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, Sardar Vallabhbhai National Institute of Technology, India","institution_ids":["https://openalex.org/I42014448"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100832616","display_name":"Shambhu N. Sharma","orcid":null},"institutions":[{"id":"https://openalex.org/I42014448","display_name":"Sardar Vallabhbhai National Institute of Technology Surat","ror":"https://ror.org/02y394t43","country_code":"IN","type":"education","lineage":["https://openalex.org/I42014448"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Shambhu N Sharma","raw_affiliation_strings":["Electrical Engineering Department, Sardar Vallabhbhai National Institute of Technology, India"],"affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, Sardar Vallabhbhai National Institute of Technology, India","institution_ids":["https://openalex.org/I42014448"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038413000","display_name":"Dhruvi S. Bhatt","orcid":"https://orcid.org/0000-0002-4083-6422"},"institutions":[{"id":"https://openalex.org/I42014448","display_name":"Sardar Vallabhbhai National Institute of Technology Surat","ror":"https://ror.org/02y394t43","country_code":"IN","type":"education","lineage":["https://openalex.org/I42014448"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Dhruvi Bhatt","raw_affiliation_strings":["Electrical Engineering Department, Sardar Vallabhbhai National Institute of Technology, India"],"affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, Sardar Vallabhbhai National Institute of Technology, India","institution_ids":["https://openalex.org/I42014448"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076258171","display_name":"Shaival H. Nagarsheth","orcid":"https://orcid.org/0000-0001-9867-8167"},"institutions":[{"id":"https://openalex.org/I42014448","display_name":"Sardar Vallabhbhai National Institute of Technology Surat","ror":"https://ror.org/02y394t43","country_code":"IN","type":"education","lineage":["https://openalex.org/I42014448"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Shaival Nagarsheth","raw_affiliation_strings":["Electrical Engineering Department, Sardar Vallabhbhai National Institute of Technology, India"],"affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, Sardar Vallabhbhai National Institute of Technology, India","institution_ids":["https://openalex.org/I42014448"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5038413000"],"corresponding_institution_ids":["https://openalex.org/I42014448"],"apc_list":null,"apc_paid":null,"fwci":0.3977,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.66973991,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"42","issue":"10","first_page":"1755","last_page":"1768"},"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":0.9959999918937683,"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":0.9959999918937683,"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/T10067","display_name":"Stochastic processes and financial applications","score":0.9878000020980835,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9815999865531921,"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/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.7799601554870605},{"id":"https://openalex.org/keywords/stochastic-differential-equation","display_name":"Stochastic differential equation","score":0.6312178373336792},{"id":"https://openalex.org/keywords/kalman-filter","display_name":"Kalman filter","score":0.6001393795013428},{"id":"https://openalex.org/keywords/bilinear-transform","display_name":"Bilinear transform","score":0.5894472599029541},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.512999951839447},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.486054927110672},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.48236221075057983},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4288906455039978},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4262332022190094},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42585843801498413},{"id":"https://openalex.org/keywords/filtering-problem","display_name":"Filtering problem","score":0.4243607521057129},{"id":"https://openalex.org/keywords/extended-kalman-filter","display_name":"Extended Kalman filter","score":0.42133766412734985},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.29709678888320923},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12873390316963196},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09975749254226685},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06426423788070679},{"id":"https://openalex.org/keywords/digital-filter","display_name":"Digital filter","score":0.05793258547782898}],"concepts":[{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.7799601554870605},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.6312178373336792},{"id":"https://openalex.org/C157286648","wikidata":"https://www.wikidata.org/wiki/Q846780","display_name":"Kalman filter","level":2,"score":0.6001393795013428},{"id":"https://openalex.org/C109786386","wikidata":"https://www.wikidata.org/wiki/Q861804","display_name":"Bilinear transform","level":4,"score":0.5894472599029541},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.512999951839447},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.486054927110672},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.48236221075057983},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4288906455039978},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4262332022190094},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42585843801498413},{"id":"https://openalex.org/C41614226","wikidata":"https://www.wikidata.org/wiki/Q5449244","display_name":"Filtering problem","level":4,"score":0.4243607521057129},{"id":"https://openalex.org/C206833254","wikidata":"https://www.wikidata.org/wiki/Q5421817","display_name":"Extended Kalman filter","level":3,"score":0.42133766412734985},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.29709678888320923},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12873390316963196},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09975749254226685},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06426423788070679},{"id":"https://openalex.org/C36390408","wikidata":"https://www.wikidata.org/wiki/Q1163067","display_name":"Digital filter","level":3,"score":0.05793258547782898},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1177/0142331219895711","is_oa":false,"landing_page_url":"https://doi.org/10.1177/0142331219895711","pdf_url":null,"source":{"id":"https://openalex.org/S24148485","display_name":"Transactions of the Institute of Measurement and Control","issn_l":"0142-3312","issn":["0142-3312","1477-0369"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Transactions of the Institute of Measurement and Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W19035973","https://openalex.org/W179241541","https://openalex.org/W1510355813","https://openalex.org/W1963921091","https://openalex.org/W2011190490","https://openalex.org/W2021674473","https://openalex.org/W2054721149","https://openalex.org/W2061317694","https://openalex.org/W2064664296","https://openalex.org/W2086267335","https://openalex.org/W2089657469","https://openalex.org/W2105934661","https://openalex.org/W2106619516","https://openalex.org/W2122512809","https://openalex.org/W2139279122","https://openalex.org/W2139735835","https://openalex.org/W2140823649","https://openalex.org/W2147357149","https://openalex.org/W2202505303","https://openalex.org/W2480138299","https://openalex.org/W2509551372","https://openalex.org/W2762143181","https://openalex.org/W2770718276","https://openalex.org/W2808297036","https://openalex.org/W4248617524","https://openalex.org/W4292198165","https://openalex.org/W4301452930"],"related_works":["https://openalex.org/W2128442674","https://openalex.org/W2138238094","https://openalex.org/W2141941162","https://openalex.org/W2141023477","https://openalex.org/W2107526294","https://openalex.org/W1920963666","https://openalex.org/W2896024550","https://openalex.org/W2098430927","https://openalex.org/W3006153562","https://openalex.org/W2191095504"],"abstract_inverted_index":{"Bilinear":[0],"stochastic":[1,29,88,109],"differential":[2,30,89],"equations":[3,31,95,123],"have":[4],"found":[5],"applications":[6],"to":[7,105,157],"model":[8],"turbulence":[9],"in":[10,18],"autonomous":[11],"systems":[12,42,137],"as":[13,15,43,45],"well":[14,44],"switching":[16],"uncertainty":[17],"non-linear":[19,37,93,100,144],"dynamic":[20,41,75],"circuits.":[21],"In":[22],"signal":[23],"processing":[24],"and":[25,147,168],"control":[26],"literature,":[27],"bilinear":[28,58,71,108,121,162],"are":[32,54,96,103,155],"ubiquitous,":[33],"since":[34],"they":[35],"capture":[36],"qualitative":[38],"characteristics":[39],"of":[40,51,70,119,136],"offer":[46],"closed-form":[47],"solutions.":[48],"The":[49],"novelties":[50],"the":[52,61,68,78,99,125,134,160,173],"paper":[53,66,114,132],"two:":[55],"we":[56],"weave":[57],"filtering":[59,72,94,101,122,145,170],"for":[60,73,124],"Stratonovich":[62,79,142],"stochasticity.":[63],"Then":[64],"this":[65],"unfolds":[67],"usefulness":[69],"switched":[74,148],"systems.":[76],"First,":[77],"stochasticity":[80],"is":[81],"embedded":[82],"into":[83],"a":[84,117],"vector":[85,126],"\u2018bilinear\u2019":[86],"time-varying":[87],"equations.":[90],"Then,":[91],"coupled":[92,120],"achieved.":[97],"Finally,":[98],"results":[102,154],"applied":[104],"an":[106],"appealing":[107],"\u0106uk":[110],"converter":[111],"circuit.":[112],"This":[113,131],"also":[115],"encompasses":[116],"system":[118],"input":[127],"Brownian":[128],"motion":[129],"case.":[130],"brings":[133],"notions":[135],"theory,":[138],"that":[139,159],"is,":[140],"bilinearity,":[141],"stochasticity,":[143],"techniques":[146],"electrical":[149],"networks":[150],"together.":[151],"Numerical":[152],"simulation":[153],"presented":[156],"demonstrate":[158],"proposed":[161],"filter":[163],"can":[164],"achieve":[165],"much":[166],"better":[167],"accurate":[169],"performance":[171],"than":[172],"conventional":[174],"Extended":[175],"Kalman":[176],"Filter":[177],"(EKF).":[178]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}