{"id":"https://openalex.org/W2015744956","doi":"https://doi.org/10.1080/00207720210167131","title":"Robust H \u221e performance problem for linear systems with nonlinear uncertainties in all system matrices","display_name":"Robust H \u221e performance problem for linear systems with nonlinear uncertainties in all system matrices","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W2015744956","doi":"https://doi.org/10.1080/00207720210167131","mag":"2015744956"},"language":"en","primary_location":{"id":"doi:10.1080/00207720210167131","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207720210167131","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/A5100344279","display_name":"Lei Guo","orcid":"https://orcid.org/0000-0002-3061-2337"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"L. Guo","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5038930344","display_name":"James Lam","orcid":"https://orcid.org/0000-0002-0294-0640"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J. Lam","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.8194,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.92584668,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"33","issue":"11","first_page":"885","last_page":"900"},"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":1.0,"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":1.0,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9969000220298767,"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":0.995199978351593,"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/control-theory","display_name":"Control theory (sociology)","score":0.838218092918396},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.731286883354187},{"id":"https://openalex.org/keywords/output-feedback","display_name":"Output feedback","score":0.5603654384613037},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5549156665802002},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5431001782417297},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5328344106674194},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5283613801002502},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.5273966193199158},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5262531638145447},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5040134787559509},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.42372673749923706},{"id":"https://openalex.org/keywords/nonlinear-control","display_name":"Nonlinear control","score":0.415621817111969},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.36664819717407227},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34166014194488525},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.08519300818443298}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.838218092918396},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.731286883354187},{"id":"https://openalex.org/C3018623182","wikidata":"https://www.wikidata.org/wiki/Q154021","display_name":"Output feedback","level":3,"score":0.5603654384613037},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5549156665802002},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5431001782417297},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5328344106674194},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5283613801002502},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.5273966193199158},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5262531638145447},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5040134787559509},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.42372673749923706},{"id":"https://openalex.org/C91581856","wikidata":"https://www.wikidata.org/wiki/Q2707001","display_name":"Nonlinear control","level":3,"score":0.415621817111969},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.36664819717407227},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34166014194488525},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.08519300818443298},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/00207720210167131","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207720210167131","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:hub.hku.hk:10722/156651","is_oa":false,"landing_page_url":"http://hdl.handle.net/10722/156651","pdf_url":null,"source":{"id":"https://openalex.org/S4377196271","display_name":"The HKU Scholars Hub (University of Hong Kong)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I889458895","host_organization_name":"University of Hong Kong","host_organization_lineage":["https://openalex.org/I889458895"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","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":14,"referenced_works":["https://openalex.org/W1543886239","https://openalex.org/W1547135986","https://openalex.org/W1968452087","https://openalex.org/W1982070692","https://openalex.org/W1989138173","https://openalex.org/W1997645750","https://openalex.org/W2008038305","https://openalex.org/W2018140329","https://openalex.org/W2077088183","https://openalex.org/W2090346616","https://openalex.org/W2106018907","https://openalex.org/W2109439079","https://openalex.org/W2727031218","https://openalex.org/W3210839039"],"related_works":["https://openalex.org/W2155614410","https://openalex.org/W2108365811","https://openalex.org/W1979384654","https://openalex.org/W2171144705","https://openalex.org/W2354798992","https://openalex.org/W1604327426","https://openalex.org/W2065218252","https://openalex.org/W2424245094","https://openalex.org/W2039911503","https://openalex.org/W4379204015"],"abstract_inverted_index":{"This":[0],"paper":[1],"considers":[2],"robust":[3,59],"performance":[4,62],"analysis":[5],"and":[6,18,42,113,141,163,172],"H":[7,60],"\u221e":[8,61],"controller":[9,117],"design":[10,118,143],"for":[11,79,155],"a":[12,76,91,156,166],"class":[13,157],"of":[14,44,64,90,93,125,132,145,158,196],"systems":[15,134,159],"with":[16,95,135,160],"time-varying":[17],"nonlinear":[19,136,164],"uncertainties.":[20,185],"These":[21],"uncertainties":[22,137],"are":[23,138,149,189],"allowed":[24],"to":[25,56,88,192],"exist":[26],"not":[27],"only":[28],"in":[29,34,103,123],"the":[30,35,58,65,69,80,106,114,133,142,173,194,197],"state,":[31],"but":[32],"also":[33,176,190],"control":[36,83],"input,":[37],"measurement":[38],"output,":[39],"exogenous":[40],"input":[41],"derivative":[43],"state.":[45],"A":[46,186],"new":[47,167],"sufficient":[48],"condition":[49,78,169],"based":[50],"on":[51],"LMI":[52],"is":[53,73,100,170],"first":[54],"provided":[55,122,150],"analyse":[57],"problem":[63,84,175],"free":[66],"systems.":[67],"For":[68],"general":[70],"case,":[71],"it":[72,99],"shown":[74,101],"that":[75,89,102,179],"solvability":[77,168],"output":[81,115,146],"feedback":[82,116,147],"can":[85,108,120],"be":[86,109,121],"reduced":[87],"set":[92],"LMIs":[94],"algebraic":[96],"constraints.":[97],"Then":[98],"some":[104],"cases,":[105],"constraints":[107],"eliminated":[110],"through":[111],"simplifications":[112],"methods":[119],"terms":[124],"LMIs.":[126,153],"In":[127],"particular,":[128],"two":[129],"special":[130],"cases":[131],"discussed":[139],"thoroughly":[140],"procedures":[144],"controllers":[148],"via":[151],"typical":[152],"Furthermore,":[154],"both":[161],"structured":[162],"uncertainties,":[165],"presented":[171],"corresponding":[174],"cast":[177],"into":[178],"o":[180],"fan":[181],"auxiliary":[182],"system":[183],"without":[184],"few":[187],"examples":[188],"given":[191],"demonstrate":[193],"effectiveness":[195],"proposed":[198],"approaches.":[199]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}