{"id":"https://openalex.org/W2170256406","doi":"https://doi.org/10.1080/00207720902989312","title":"\u210b<sub>\u221e</sub>model reduction for continuous-time switched stochastic hybrid systems","display_name":"\u210b<sub>\u221e</sub>model reduction for continuous-time switched stochastic hybrid systems","publication_year":2009,"publication_date":"2009-12-01","ids":{"openalex":"https://openalex.org/W2170256406","doi":"https://doi.org/10.1080/00207720902989312","mag":"2170256406"},"language":"en","primary_location":{"id":"doi:10.1080/00207720902989312","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207720902989312","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/A5108047839","display_name":"Ligang Wu","orcid":"https://orcid.org/0000-0001-8198-5267"},"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":"Ligang Wu","raw_affiliation_strings":["Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin 150001, P. R. China","Space Control and Inertial Technology Research Center , Harbin Institute of Technology , Harbin 150001, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin 150001, P. R. China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"Space Control and Inertial Technology Research Center , Harbin Institute of Technology , Harbin 150001, P. R. China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084476585","display_name":"Daniel W. C. Ho","orcid":"https://orcid.org/0000-0001-9799-3712"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Daniel W.C. Ho","raw_affiliation_strings":["Department of Mathematics, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong","Department of Mathematics , City University of Hong Kong , 83 Tat Chee Avenue, Kowloon, Hong Kong"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong","institution_ids":["https://openalex.org/I168719708"]},{"raw_affiliation_string":"Department of Mathematics , City University of Hong Kong , 83 Tat Chee Avenue, Kowloon, Hong Kong","institution_ids":["https://openalex.org/I168719708"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038930344","display_name":"James Lam","orcid":"https://orcid.org/0000-0002-0294-0640"},"institutions":[{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"James Lam","raw_affiliation_strings":["Department of Mechanical Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong","Department of Mechanical Engineering , The University of Hong Kong , Pokfulam Road, Hong Kong"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong","institution_ids":["https://openalex.org/I889458895"]},{"raw_affiliation_string":"Department of Mechanical Engineering , The University of Hong Kong , Pokfulam Road, Hong Kong","institution_ids":["https://openalex.org/I889458895"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5108047839"],"corresponding_institution_ids":["https://openalex.org/I204983213"],"apc_list":null,"apc_paid":null,"fwci":7.3438,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.96468521,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"40","issue":"12","first_page":"1241","last_page":"1251"},"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":0.9998000264167786,"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":0.9998000264167786,"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":0.9914000034332275,"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":0.9743000268936157,"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":0.667786717414856},{"id":"https://openalex.org/keywords/dwell-time","display_name":"Dwell time","score":0.6646400094032288},{"id":"https://openalex.org/keywords/minimisation","display_name":"Minimisation (clinical trials)","score":0.6112269759178162},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.5679522752761841},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5394495129585266},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5372023582458496},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5063492059707642},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.49521031975746155},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.4366598129272461},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.4142007827758789},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34562188386917114},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2809826731681824},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23364588618278503},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.13035395741462708},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.09719222784042358}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.667786717414856},{"id":"https://openalex.org/C151637689","wikidata":"https://www.wikidata.org/wiki/Q5318064","display_name":"Dwell time","level":2,"score":0.6646400094032288},{"id":"https://openalex.org/C86941820","wikidata":"https://www.wikidata.org/wiki/Q6865391","display_name":"Minimisation (clinical trials)","level":2,"score":0.6112269759178162},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.5679522752761841},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5394495129585266},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5372023582458496},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5063492059707642},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.49521031975746155},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.4366598129272461},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.4142007827758789},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34562188386917114},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2809826731681824},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23364588618278503},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.13035395741462708},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.09719222784042358},{"id":"https://openalex.org/C70410870","wikidata":"https://www.wikidata.org/wiki/Q199906","display_name":"Clinical psychology","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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/00207720902989312","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207720902989312","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:10722/157057","is_oa":false,"landing_page_url":"http://hdl.handle.net/10722/157057","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":[{"score":0.46000000834465027,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320309893","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1044970108","https://openalex.org/W1552094772","https://openalex.org/W1974977258","https://openalex.org/W1995063858","https://openalex.org/W1995502176","https://openalex.org/W2002795836","https://openalex.org/W2007347491","https://openalex.org/W2008179758","https://openalex.org/W2012251160","https://openalex.org/W2021171806","https://openalex.org/W2025887310","https://openalex.org/W2039867272","https://openalex.org/W2066664087","https://openalex.org/W2066689921","https://openalex.org/W2069049088","https://openalex.org/W2071288280","https://openalex.org/W2077029670","https://openalex.org/W2080925234","https://openalex.org/W2082256594","https://openalex.org/W2084184206","https://openalex.org/W2093138696","https://openalex.org/W2098324096","https://openalex.org/W2104306292","https://openalex.org/W2104482782","https://openalex.org/W2109709801","https://openalex.org/W2109814833","https://openalex.org/W2116680678","https://openalex.org/W2120335573","https://openalex.org/W2150295061","https://openalex.org/W2165273705","https://openalex.org/W2900812847","https://openalex.org/W3179000900"],"related_works":["https://openalex.org/W2011109452","https://openalex.org/W2898247383","https://openalex.org/W1977953789","https://openalex.org/W2077098439","https://openalex.org/W4287863601","https://openalex.org/W3006889786","https://openalex.org/W2967346707","https://openalex.org/W3009543351","https://openalex.org/W2013435949","https://openalex.org/W2027228577"],"abstract_inverted_index":{"This":[0],"article":[1],"deals":[2],"with":[3,60],"the":[4,19,23,34,39,52,66,73,78,94,107,110],"problem":[5,85],"of":[6,22,109],"computing":[7],"an":[8],"approximation":[9],"system":[10,25,54],"for":[11],"a":[12,29,44,61,82,100],"continuous-time":[13],"switched":[14],"stochastic":[15],"system,":[16],"such":[17],"that":[18],"\u210b\u221e":[20,63],"gain":[21],"error":[24,53],"is":[26,47,69,103],"less":[27],"than":[28],"prescribed":[30],"scalar.":[31],"By":[32],"using":[33,72],"average":[35],"dwell-time":[36],"approach":[37],"and":[38],"piecewise":[40],"Lyapunov":[41],"function":[42],"technique,":[43],"sufficient":[45],"condition":[46],"first":[48],"proposed,":[49],"which":[50,76],"guarantees":[51],"to":[55,87,105],"be":[56],"mean-square":[57],"exponentially":[58],"stable":[59],"weighted":[62],"performance.":[64],"Then,":[65],"model":[67,79],"reduction":[68,80],"solved":[70],"by":[71,92],"projection":[74],"approach,":[75],"casts":[77],"into":[81],"sequential":[83],"minimisation":[84],"subjected":[86],"linear":[88],"matrix":[89],"inequality":[90],"constraints":[91],"employing":[93],"cone":[95],"complementary":[96],"linearisation":[97],"algorithm.":[98],"Finally,":[99],"numerical":[101],"example":[102],"provided":[104],"illustrate":[106],"effectiveness":[108],"proposed":[111],"theory.":[112]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"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},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2016-06-24T00:00:00"}