{"id":"https://openalex.org/W2943834764","doi":"https://doi.org/10.1142/s0217595919500155","title":"Nonsmooth Optimization Method for H\u221e Output Feedback Control","display_name":"Nonsmooth Optimization Method for H\u221e Output Feedback Control","publication_year":2019,"publication_date":"2019-05-06","ids":{"openalex":"https://openalex.org/W2943834764","doi":"https://doi.org/10.1142/s0217595919500155","mag":"2943834764"},"language":"en","primary_location":{"id":"doi:10.1142/s0217595919500155","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0217595919500155","pdf_url":null,"source":{"id":"https://openalex.org/S1254427","display_name":"Asia Pacific Journal of Operational Research","issn_l":"0217-5959","issn":["0217-5959","1793-7019"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asia-Pacific Journal of Operational Research","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/A5068703129","display_name":"Qiong Wu","orcid":"https://orcid.org/0000-0001-8828-5140"},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qiong Wu","raw_affiliation_strings":["School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, P. R. China","institution_ids":["https://openalex.org/I27357992"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083872248","display_name":"Jinhe Wang","orcid":"https://orcid.org/0000-0002-1293-085X"},"institutions":[{"id":"https://openalex.org/I3018263800","display_name":"Huzhou University","ror":"https://ror.org/04mvpxy20","country_code":"CN","type":"education","lineage":["https://openalex.org/I3018263800"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jin-He Wang","raw_affiliation_strings":["School of Engineering, Huzhou University, Huzhou 313000, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Engineering, Huzhou University, Huzhou 313000, P. R. China","institution_ids":["https://openalex.org/I3018263800"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100397258","display_name":"Hongwei Zhang","orcid":"https://orcid.org/0000-0002-7718-021X"},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hong-Wei Zhang","raw_affiliation_strings":["School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, P. R. China","institution_ids":["https://openalex.org/I27357992"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100673312","display_name":"Shuang Wang","orcid":"https://orcid.org/0000-0002-4773-6117"},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shuang Wang","raw_affiliation_strings":["School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, P. R. China","institution_ids":["https://openalex.org/I27357992"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044662952","display_name":"Li-Ping Pang","orcid":"https://orcid.org/0000-0003-2046-3582"},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Li-Ping Pang","raw_affiliation_strings":["School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, P. R. China","institution_ids":["https://openalex.org/I27357992"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5083872248"],"corresponding_institution_ids":["https://openalex.org/I3018263800"],"apc_list":null,"apc_paid":null,"fwci":0.1686,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.45995319,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"36","issue":"03","first_page":"1950015","last_page":"1950015"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","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/T11236","display_name":"Control Systems and Identification","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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9995999932289124,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9987000226974487,"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":0.6490919589996338},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5781509280204773},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5606983304023743},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5512517094612122},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.5312369465827942},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.5291600227355957},{"id":"https://openalex.org/keywords/bundle","display_name":"Bundle","score":0.5229350328445435},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5020248889923096},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.462360680103302},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4486272633075714},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4172404110431671},{"id":"https://openalex.org/keywords/closed-loop","display_name":"Closed loop","score":0.4153686761856079},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36988192796707153},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.3591064214706421},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2646671235561371},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08831620216369629},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07632490992546082}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6490919589996338},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5781509280204773},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5606983304023743},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5512517094612122},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.5312369465827942},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.5291600227355957},{"id":"https://openalex.org/C2778134712","wikidata":"https://www.wikidata.org/wiki/Q1047307","display_name":"Bundle","level":2,"score":0.5229350328445435},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5020248889923096},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.462360680103302},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4486272633075714},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4172404110431671},{"id":"https://openalex.org/C3019251811","wikidata":"https://www.wikidata.org/wiki/Q5135346","display_name":"Closed loop","level":2,"score":0.4153686761856079},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36988192796707153},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.3591064214706421},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2646671235561371},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08831620216369629},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07632490992546082},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0217595919500155","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0217595919500155","pdf_url":null,"source":{"id":"https://openalex.org/S1254427","display_name":"Asia Pacific Journal of Operational Research","issn_l":"0217-5959","issn":["0217-5959","1793-7019"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asia-Pacific Journal of Operational Research","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:wsi:apjorx:v:36:y:2019:i:03:n:s0217595919500155","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S0217595919500155","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1551360398","https://openalex.org/W1588998206","https://openalex.org/W1677069601","https://openalex.org/W1814433154","https://openalex.org/W1967969202","https://openalex.org/W1984714339","https://openalex.org/W2010215636","https://openalex.org/W2012604200","https://openalex.org/W2029251835","https://openalex.org/W2029691093","https://openalex.org/W2037064199","https://openalex.org/W2039606278","https://openalex.org/W2039867272","https://openalex.org/W2042106612","https://openalex.org/W2042844238","https://openalex.org/W2062578843","https://openalex.org/W2065313971","https://openalex.org/W2093369076","https://openalex.org/W2094507464","https://openalex.org/W2107543637","https://openalex.org/W2111946256","https://openalex.org/W2120267268","https://openalex.org/W2123268795","https://openalex.org/W2155570233","https://openalex.org/W2160047191","https://openalex.org/W2182274314","https://openalex.org/W3210839039","https://openalex.org/W4237720835","https://openalex.org/W4247044418","https://openalex.org/W4248027363","https://openalex.org/W4298308357","https://openalex.org/W4302336608"],"related_works":["https://openalex.org/W4387451451","https://openalex.org/W2137300182","https://openalex.org/W2053005959","https://openalex.org/W2064234232","https://openalex.org/W2299538996","https://openalex.org/W4244451378","https://openalex.org/W2027136373","https://openalex.org/W2144143333","https://openalex.org/W2126690398","https://openalex.org/W75826713"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"a":[3,28,59,79,87,91],"nonsmooth":[4,31],"optimization":[5,34],"method":[6,65],"for":[7],"[Formula:":[8,50],"see":[9,51],"text]":[10,52],"output":[11],"feedback":[12],"control":[13],"problem":[14,26,35,76],"of":[15,41,46,54,103],"linear":[16],"time-invariant(LTI)":[17],"systems":[18],"based":[19],"on":[20],"bundle":[21,70],"technique.":[22],"We":[23,82],"formulate":[24],"this":[25,104],"as":[27],"nonconvex":[29],"and":[30,44,58,69,95],"semi-infinite":[32],"constrained":[33],"by":[36],"quantifying":[37],"both":[38],"internal":[39],"stability":[40],"closed-loop":[42,55],"system":[43,47],"measurement":[45],"performance,":[48],"where":[49],"norm":[53],"transfer":[56],"function":[57,68],"stabilization":[60],"channel":[61],"is":[62],"used.":[63],"Our":[64],"uses":[66],"progress":[67],"technique":[71],"to":[72,86,99],"solve":[73],"the":[74,84,101],"resulting":[75],"which":[77],"has":[78],"composite":[80],"structure.":[81],"prove":[83],"convergence":[85],"critical":[88],"point":[89,94],"from":[90],"feasible":[92],"initial":[93],"test":[96],"some":[97],"benchmarks":[98],"demonstrate":[100],"effectiveness":[102],"method.":[105]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
