{"id":"https://openalex.org/W3017441820","doi":"https://doi.org/10.1080/00207721.2020.1755742","title":"Robust<i>H</i><sub>2</sub>/<i>H</i><sub>\u221e</sub>control for a class of time-varying nonlinear stochastic systems with state- and control-dependent noises","display_name":"Robust<i>H</i><sub>2</sub>/<i>H</i><sub>\u221e</sub>control for a class of time-varying nonlinear stochastic systems with state- and control-dependent noises","publication_year":2020,"publication_date":"2020-04-23","ids":{"openalex":"https://openalex.org/W3017441820","doi":"https://doi.org/10.1080/00207721.2020.1755742","mag":"3017441820"},"language":"en","primary_location":{"id":"doi:10.1080/00207721.2020.1755742","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2020.1755742","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/A5022256912","display_name":"Ming Gao","orcid":"https://orcid.org/0000-0003-2253-150X"},"institutions":[{"id":"https://openalex.org/I4210162190","display_name":"China University of Petroleum, East China","ror":"https://ror.org/05gbn2817","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210162190"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ming Gao","raw_affiliation_strings":["College of Control Science and Engineering, China University of Petroleum (East China), Qingdao, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"College of Control Science and Engineering, China University of Petroleum (East China), Qingdao, People's Republic of China","institution_ids":["https://openalex.org/I4210162190"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045494864","display_name":"Zhengmao Zhu","orcid":null},"institutions":[{"id":"https://openalex.org/I153473198","display_name":"North China Electric Power University","ror":"https://ror.org/04qr5t414","country_code":"CN","type":"education","lineage":["https://openalex.org/I153473198"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhengmao Zhu","raw_affiliation_strings":["Institute of Science and Technology, North China Electric Power University, Beijing, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Institute of Science and Technology, North China Electric Power University, Beijing, People's Republic of China","institution_ids":["https://openalex.org/I153473198"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004448494","display_name":"Yichun Niu","orcid":"https://orcid.org/0000-0002-9837-9228"},"institutions":[{"id":"https://openalex.org/I4210162190","display_name":"China University of Petroleum, East China","ror":"https://ror.org/05gbn2817","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210162190"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yichun Niu","raw_affiliation_strings":["College of Control Science and Engineering, China University of Petroleum (East China), Qingdao, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"College of Control Science and Engineering, China University of Petroleum (East China), Qingdao, People's Republic of China","institution_ids":["https://openalex.org/I4210162190"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5022256912"],"corresponding_institution_ids":["https://openalex.org/I4210162190"],"apc_list":null,"apc_paid":null,"fwci":0.4413,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.60736372,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"51","issue":"7","first_page":"1218","last_page":"1228"},"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":0.9988999962806702,"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":0.9988999962806702,"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/T11236","display_name":"Control Systems and Identification","score":0.9909999966621399,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9818999767303467,"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/mathematics","display_name":"Mathematics","score":0.7078186273574829},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.68935626745224},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6227051615715027},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6086941957473755},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.5485445261001587},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5209428071975708},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.481766939163208},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.48021015524864197},{"id":"https://openalex.org/keywords/riccati-equation","display_name":"Riccati equation","score":0.46924662590026855},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4318602681159973},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.41094905138015747},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2733796238899231},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1949613392353058},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17091232538223267},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.1294555962085724},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.0735471248626709}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7078186273574829},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.68935626745224},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6227051615715027},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6086941957473755},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.5485445261001587},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5209428071975708},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.481766939163208},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.48021015524864197},{"id":"https://openalex.org/C45473103","wikidata":"https://www.wikidata.org/wiki/Q851503","display_name":"Riccati equation","level":3,"score":0.46924662590026855},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4318602681159973},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.41094905138015747},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2733796238899231},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1949613392353058},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17091232538223267},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.1294555962085724},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0735471248626709},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/00207721.2020.1755742","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2020.1755742","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:51:y:2020:i:7:p:1218-1228","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1080/00207721.2020.1755742","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W8698150","https://openalex.org/W1495711302","https://openalex.org/W1496533062","https://openalex.org/W1593496074","https://openalex.org/W1729165410","https://openalex.org/W1908712309","https://openalex.org/W1970463214","https://openalex.org/W1983606415","https://openalex.org/W1995502176","https://openalex.org/W2011377419","https://openalex.org/W2015381356","https://openalex.org/W2021805781","https://openalex.org/W2080167193","https://openalex.org/W2107704171","https://openalex.org/W2109062533","https://openalex.org/W2170316986","https://openalex.org/W2280698101","https://openalex.org/W2503883016","https://openalex.org/W2507127119","https://openalex.org/W2525760023","https://openalex.org/W2559846894","https://openalex.org/W2594556438","https://openalex.org/W2729722365","https://openalex.org/W2744189255","https://openalex.org/W2751510101","https://openalex.org/W2801529488","https://openalex.org/W2802909619","https://openalex.org/W2890751217","https://openalex.org/W2893929957","https://openalex.org/W2903204749","https://openalex.org/W2908585064","https://openalex.org/W2913811774","https://openalex.org/W2945686539","https://openalex.org/W2948178128","https://openalex.org/W2995616080","https://openalex.org/W3141794531","https://openalex.org/W3158610175","https://openalex.org/W4206318793","https://openalex.org/W4206422821","https://openalex.org/W4238187298","https://openalex.org/W4245127455"],"related_works":["https://openalex.org/W3006682748","https://openalex.org/W1097487277","https://openalex.org/W2768610039","https://openalex.org/W4308265086","https://openalex.org/W2949964783","https://openalex.org/W2106889256","https://openalex.org/W1987193149","https://openalex.org/W2037584720","https://openalex.org/W2062966641","https://openalex.org/W2151481036"],"abstract_inverted_index":{"This":[0],"paper":[1],"deals":[2],"with":[3,19],"the":[4,29,53,65,71,85,95,118,121],"problem":[5],"of":[6,13,70,87,94,97,120],"robust":[7,57,89],"H2/H\u221e":[8,90],"control":[9,91],"for":[10,64,84],"a":[11,77,111],"class":[12],"discrete":[14],"time-varying":[15],"nonlinear":[16],"stochastic":[17,58],"systems":[18],"state-":[20],"and":[21,47,79,100],"control-dependent":[22],"noises":[23],"(also":[24],"called":[25],"(x,u)-dependent":[26],"noises).":[27],"In":[28],"addressed":[30],"system,":[31],"all":[32],"system":[33,67],"parameters":[34],"are":[35,42,49],"allowed":[36],"to":[37,44,51,106,116],"be":[38,45],"time-varying,":[39],"parameter":[40],"uncertainties":[41],"supposed":[43],"norm-bounded,":[46],"nonlinearities":[48],"assumed":[50],"satisfy":[52],"sector-bounded":[54],"condition.":[55],"A":[56],"bounded":[59],"real":[60],"lemma":[61],"is":[62,82,104,114],"established":[63],"uncontrolled":[66],"by":[68,92],"means":[69],"Riccati":[72],"difference":[73],"equation":[74],"(RDE).":[75],"Moreover,":[76],"necessary":[78],"sufficient":[80],"condition":[81],"presented":[83],"existence":[86],"finite-horizon":[88],"virtue":[93],"solvability":[96],"coupled":[98],"RDEs,":[99],"an":[101],"iterative":[102],"algorithm":[103],"designed":[105],"solve":[107],"these":[108],"RDEs.":[109],"Finally,":[110],"numerical":[112],"example":[113],"utilised":[115],"illustrate":[117],"effectiveness":[119],"derived":[122],"results.":[123]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
