{"id":"https://openalex.org/W2329108187","doi":"https://doi.org/10.1080/00207721.2015.1049302","title":"Finite-time<i>H</i><sub>\u221e</sub>filtering for non-linear stochastic systems","display_name":"Finite-time<i>H</i><sub>\u221e</sub>filtering for non-linear stochastic systems","publication_year":2015,"publication_date":"2015-06-19","ids":{"openalex":"https://openalex.org/W2329108187","doi":"https://doi.org/10.1080/00207721.2015.1049302","mag":"2329108187"},"language":"en","primary_location":{"id":"doi:10.1080/00207721.2015.1049302","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2015.1049302","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","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/A5101427733","display_name":"Mingzhe Hou","orcid":"https://orcid.org/0000-0003-2480-3345"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Mingzhe Hou","raw_affiliation_strings":["Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin, China"],"affiliations":[{"raw_affiliation_string":"Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100617483","display_name":"Zongquan Deng","orcid":"https://orcid.org/0000-0003-2432-8329"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zongquan Deng","raw_affiliation_strings":["School of Mechatronic Engineering, Harbin Institute of Technology, Harbin, China"],"affiliations":[{"raw_affiliation_string":"School of Mechatronic Engineering, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043623971","display_name":"Guang\u2010Ren Duan","orcid":"https://orcid.org/0000-0002-8169-2218"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guangren Duan","raw_affiliation_strings":["Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin, China"],"affiliations":[{"raw_affiliation_string":"Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101427733"],"corresponding_institution_ids":["https://openalex.org/I204983213"],"apc_list":null,"apc_paid":null,"fwci":1.683,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.86661558,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"47","issue":"12","first_page":"2945","last_page":"2953"},"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9983000159263611,"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/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9940999746322632,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7559264898300171},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.59161376953125},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.5536167621612549},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5454233288764954},{"id":"https://openalex.org/keywords/stochastic-differential-equation","display_name":"Stochastic differential equation","score":0.47336098551750183},{"id":"https://openalex.org/keywords/stochastic-partial-differential-equation","display_name":"Stochastic partial differential equation","score":0.47156664729118347},{"id":"https://openalex.org/keywords/filtering-problem","display_name":"Filtering problem","score":0.448550820350647},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4104592502117157},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3928278386592865},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.2945113182067871},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2734553813934326},{"id":"https://openalex.org/keywords/kalman-filter","display_name":"Kalman filter","score":0.16694486141204834},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1620313823223114},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.08827787637710571},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07412737607955933}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7559264898300171},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.59161376953125},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.5536167621612549},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5454233288764954},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.47336098551750183},{"id":"https://openalex.org/C84629840","wikidata":"https://www.wikidata.org/wiki/Q16979017","display_name":"Stochastic partial differential equation","level":3,"score":0.47156664729118347},{"id":"https://openalex.org/C41614226","wikidata":"https://www.wikidata.org/wiki/Q5449244","display_name":"Filtering problem","level":4,"score":0.448550820350647},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4104592502117157},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3928278386592865},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.2945113182067871},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2734553813934326},{"id":"https://openalex.org/C157286648","wikidata":"https://www.wikidata.org/wiki/Q846780","display_name":"Kalman filter","level":2,"score":0.16694486141204834},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1620313823223114},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.08827787637710571},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07412737607955933},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C206833254","wikidata":"https://www.wikidata.org/wiki/Q5421817","display_name":"Extended Kalman filter","level":3,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/00207721.2015.1049302","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2015.1049302","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:taf:tsysxx:v:47:y:2016:i:12:p:2945-2953","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1080/00207721.2015.1049302","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.5,"display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G401806867","display_name":null,"funder_award_id":"2014M550189","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G7228854645","display_name":null,"funder_award_id":"61203125","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/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W365369051","https://openalex.org/W1522816417","https://openalex.org/W1553274319","https://openalex.org/W1579485993","https://openalex.org/W1966472619","https://openalex.org/W1980203891","https://openalex.org/W1988837728","https://openalex.org/W2000149165","https://openalex.org/W2017496074","https://openalex.org/W2019425289","https://openalex.org/W2025049462","https://openalex.org/W2039669896","https://openalex.org/W2043435157","https://openalex.org/W2063579361","https://openalex.org/W2069150737","https://openalex.org/W2070299392","https://openalex.org/W2070301394","https://openalex.org/W2087545990","https://openalex.org/W2091608925","https://openalex.org/W2097214798","https://openalex.org/W2135187342","https://openalex.org/W2136605942","https://openalex.org/W2136727849","https://openalex.org/W2157847203","https://openalex.org/W2167672761","https://openalex.org/W2171440321","https://openalex.org/W2293807537","https://openalex.org/W3189126869"],"related_works":["https://openalex.org/W620239920","https://openalex.org/W109055908","https://openalex.org/W2060658157","https://openalex.org/W2734530159","https://openalex.org/W1546584948","https://openalex.org/W2972896374","https://openalex.org/W2164842548","https://openalex.org/W2085400897","https://openalex.org/W3150981116","https://openalex.org/W3136773326"],"abstract_inverted_index":{"This":[0],"paper":[1],"describes":[2],"the":[3,9,23,35,38,57,85,95,108,120],"robust":[4],"H\u221e":[5,59,90],"filtering":[6],"analysis":[7],"and":[8,37,45,107],"synthesis":[10],"of":[11,33,76,87,119],"general":[12,96],"non-linear":[13,52,97,103],"stochastic":[14,30,53,98],"systems":[15,54],"with":[16,61],"finite":[17],"settling":[18],"time.":[19],"We":[20],"assume":[21],"that":[22],"system":[24,99],"dynamic":[25],"is":[26,72,92,123],"modelled":[27],"by":[28,42,100,113,125],"It\u00f4-type":[29],"differential":[31,105],"equations":[32],"which":[34],"state":[36],"measurement":[39],"are":[40],"corrupted":[41],"state-dependent":[43],"noises":[44],"exogenous":[46],"disturbances.":[47],"A":[48],"sufficient":[49],"condition":[50],"for":[51,94],"to":[55,67],"have":[56],"finite-time":[58,89],"performance":[60],"gain":[62],"less":[63],"than":[64],"or":[65],"equal":[66],"a":[68,77,88,101,126],"prescribed":[69],"positive":[70],"number":[71],"established":[73],"in":[74],"terms":[75],"certain":[78],"Hamilton\u2013Jacobi":[79],"inequality.":[80,116],"Based":[81],"on":[82],"this":[83,115],"result,":[84],"existence":[86],"filter":[91,109],"given":[93],"second-order":[102],"partial":[104],"inequality,":[106],"can":[110],"be":[111],"obtained":[112,121],"solving":[114],"The":[117],"effectiveness":[118],"result":[122],"illustrated":[124],"numerical":[127],"example.":[128]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}
