{"id":"https://openalex.org/W2202629556","doi":"https://doi.org/10.1080/00207179.2015.1136755","title":"Ensemble control of linear systems with parameter uncertainties","display_name":"Ensemble control of linear systems with parameter uncertainties","publication_year":2015,"publication_date":"2015-12-30","ids":{"openalex":"https://openalex.org/W2202629556","doi":"https://doi.org/10.1080/00207179.2015.1136755","mag":"2202629556"},"language":"en","primary_location":{"id":"doi:10.1080/00207179.2015.1136755","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2015.1136755","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"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 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/A5016962594","display_name":"Kit Ian Kou","orcid":"https://orcid.org/0000-0003-1924-9087"},"institutions":[{"id":"https://openalex.org/I204512498","display_name":"University of Macau","ror":"https://ror.org/01r4q9n85","country_code":"MO","type":"education","lineage":["https://openalex.org/I204512498"]}],"countries":["MO"],"is_corresponding":false,"raw_author_name":"Kit Ian Kou","raw_affiliation_strings":[",","Department of Mathematics, Faculty of Science and Technology, University of Macau, Macau, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":",","institution_ids":[]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science and Technology, University of Macau, Macau, China","institution_ids":["https://openalex.org/I204512498"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025121560","display_name":"Yang Liu","orcid":"https://orcid.org/0000-0002-9005-9166"},"institutions":[{"id":"https://openalex.org/I135237710","display_name":"Zhejiang Normal University","ror":"https://ror.org/01vevwk45","country_code":"CN","type":"education","lineage":["https://openalex.org/I135237710"]},{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yang Liu","raw_affiliation_strings":[",","College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua, China","Department of Mathematics, Southeast University, Nanjing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":",","institution_ids":[]},{"raw_affiliation_string":"College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua, China","institution_ids":["https://openalex.org/I135237710"]},{"raw_affiliation_string":"Department of Mathematics, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100386760","display_name":"Dandan Zhang","orcid":"https://orcid.org/0000-0001-7649-7605"},"institutions":[{"id":"https://openalex.org/I135237710","display_name":"Zhejiang Normal University","ror":"https://ror.org/01vevwk45","country_code":"CN","type":"education","lineage":["https://openalex.org/I135237710"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dandan Zhang","raw_affiliation_strings":[",","College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":",","institution_ids":[]},{"raw_affiliation_string":"College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua, China","institution_ids":["https://openalex.org/I135237710"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016165239","display_name":"Yanshuai Tu","orcid":"https://orcid.org/0000-0002-4619-2613"},"institutions":[{"id":"https://openalex.org/I135237710","display_name":"Zhejiang Normal University","ror":"https://ror.org/01vevwk45","country_code":"CN","type":"education","lineage":["https://openalex.org/I135237710"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanshuai Tu","raw_affiliation_strings":[",","College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":",","institution_ids":[]},{"raw_affiliation_string":"College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua, China","institution_ids":["https://openalex.org/I135237710"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5025121560"],"corresponding_institution_ids":["https://openalex.org/I135237710","https://openalex.org/I76569877"],"apc_list":null,"apc_paid":null,"fwci":1.0018,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.79993656,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"89","issue":"7","first_page":"1495","last_page":"1508"},"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":0.9991999864578247,"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":0.9991999864578247,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/optimal-control","display_name":"Optimal control","score":0.6037876605987549},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5595422387123108},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5472665429115295},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.492480605840683},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4848531484603882},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4809412360191345},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.468169629573822},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4614078104496002},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.45887625217437744},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4366619288921356},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4146493077278137},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3649592399597168},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09415751695632935},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07499176263809204}],"concepts":[{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6037876605987549},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5595422387123108},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5472665429115295},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.492480605840683},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4848531484603882},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4809412360191345},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.468169629573822},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4614078104496002},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.45887625217437744},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4366619288921356},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4146493077278137},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3649592399597168},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09415751695632935},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07499176263809204},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207179.2015.1136755","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2015.1136755","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"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 Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1510840210","display_name":null,"funder_award_id":"FDCT/099/2012/A3","funder_id":"https://openalex.org/F4320323893","funder_display_name":"Fundo para o Desenvolvimento das Ci\u00eancias e da Tecnologia"},{"id":"https://openalex.org/G1812189312","display_name":null,"funder_award_id":"FDCT/094/2011/A","funder_id":"https://openalex.org/F4320323893","funder_display_name":"Fundo para o Desenvolvimento das Ci\u00eancias e da Tecnologia"},{"id":"https://openalex.org/G4350161885","display_name":null,"funder_award_id":"MYRG099(Y1-L2)-FST13-KKI","funder_id":"https://openalex.org/F4320322841","funder_display_name":"Universidade de Macau"},{"id":"https://openalex.org/G5543711996","display_name":null,"funder_award_id":"11401606","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G569260430","display_name":null,"funder_award_id":"MYRG2015-00058-FST","funder_id":"https://openalex.org/F4320322841","funder_display_name":"Universidade de Macau"},{"id":"https://openalex.org/G8076234927","display_name":null,"funder_award_id":"2015M580378","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G8898276187","display_name":null,"funder_award_id":"61374077","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"},{"id":"https://openalex.org/F4320322841","display_name":"Universidade de Macau","ror":"https://ror.org/01r4q9n85"},{"id":"https://openalex.org/F4320323893","display_name":"Fundo para o Desenvolvimento das Ci\u00eancias e da Tecnologia","ror":"https://ror.org/05vna4324"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W80623023","https://openalex.org/W1534416612","https://openalex.org/W1967006219","https://openalex.org/W1972787459","https://openalex.org/W1984305777","https://openalex.org/W1986091802","https://openalex.org/W2006199866","https://openalex.org/W2009936317","https://openalex.org/W2041443351","https://openalex.org/W2044321274","https://openalex.org/W2045077417","https://openalex.org/W2047845821","https://openalex.org/W2072890207","https://openalex.org/W2093597151","https://openalex.org/W2125144331","https://openalex.org/W2137427741","https://openalex.org/W2140753922","https://openalex.org/W2153411247","https://openalex.org/W2157065444","https://openalex.org/W2171727680","https://openalex.org/W2296319761","https://openalex.org/W2313942750","https://openalex.org/W3136837693","https://openalex.org/W4237021507","https://openalex.org/W4250589301","https://openalex.org/W4300128958"],"related_works":["https://openalex.org/W1892002403","https://openalex.org/W4309005041","https://openalex.org/W2962746246","https://openalex.org/W1989531755","https://openalex.org/W1967384683","https://openalex.org/W4205332774","https://openalex.org/W3202999461","https://openalex.org/W1901119619","https://openalex.org/W2109307142","https://openalex.org/W2887982189"],"abstract_inverted_index":{"In":[0],"this":[1,32],"paper,":[2],"we":[3],"study":[4],"the":[5,23,27,47,55,62,71,74],"optimal":[6,28,63],"control":[7,24,35,64],"problem":[8,51],"for":[9,31],"a":[10],"class":[11],"of":[12,41,52,73],"four-dimensional":[13],"linear":[14,33],"systems":[15,36],"based":[16],"on":[17],"quaternionic":[18],"and":[19],"Fourier":[20],"analysis.":[21],"When":[22],"is":[25,37,58],"unconstrained,":[26],"ensemble":[29,34],"controller":[30],"given":[38,68],"in":[39],"terms":[40],"prolate":[42],"spheroidal":[43],"wave":[44],"functions.":[45],"For":[46],"constrained":[48],"convex":[49],"optimisation":[50],"such":[53],"systems,":[54],"quadratic":[56],"programming":[57],"presented":[59],"to":[60,69],"obtain":[61],"laws.":[65],"Simulations":[66],"are":[67],"verity":[70],"effectiveness":[72],"proposed":[75],"theory.":[76]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2026-02-01T03:34:12.195049","created_date":"2025-10-10T00:00:00"}