{"id":"https://openalex.org/W4414955793","doi":"https://doi.org/10.1109/tac.2025.3619328","title":"A Time-Delay Approach for Stabilization of Nonlinear Affine Systems With Unknown Control Direction","display_name":"A Time-Delay Approach for Stabilization of Nonlinear Affine Systems With Unknown Control Direction","publication_year":2025,"publication_date":"2025-10-08","ids":{"openalex":"https://openalex.org/W4414955793","doi":"https://doi.org/10.1109/tac.2025.3619328"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2025.3619328","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2025.3619328","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic 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":null,"display_name":"Gaofeng Pan","orcid":"https://orcid.org/0009-0004-3642-4646"},"institutions":[{"id":"https://openalex.org/I4391767838","display_name":"State Key Laboratory of Industrial Control Technology","ror":"https://ror.org/03a33a786","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4391767838","https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Gaofeng Pan","raw_affiliation_strings":["State Key Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou, China","State Key Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University, Hangzhou, China"],"raw_orcid":"https://orcid.org/0009-0004-3642-4646","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I4391767838"]},{"raw_affiliation_string":"State Key Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I4391767838"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Yang Zhu","orcid":"https://orcid.org/0000-0003-4110-6445"},"institutions":[{"id":"https://openalex.org/I4391767838","display_name":"State Key Laboratory of Industrial Control Technology","ror":"https://ror.org/03a33a786","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4391767838","https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yang Zhu","raw_affiliation_strings":["State Key Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou, China","State Key Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University, Hangzhou, China"],"raw_orcid":"https://orcid.org/0000-0003-4110-6445","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I4391767838"]},{"raw_affiliation_string":"State Key Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I4391767838"]}]},{"author_position":"last","author":{"id":null,"display_name":"Zheng-Guang Wu","orcid":"https://orcid.org/0000-0003-4460-9785"},"institutions":[{"id":"https://openalex.org/I4391767838","display_name":"State Key Laboratory of Industrial Control Technology","ror":"https://ror.org/03a33a786","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4391767838","https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zheng-Guang Wu","raw_affiliation_strings":["State Key Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou, China","State Key Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University, Hangzhou, China"],"raw_orcid":"https://orcid.org/0000-0003-4460-9785","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I4391767838"]},{"raw_affiliation_string":"State Key Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I4391767838"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4391767838"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.26083408,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"71","issue":"3","first_page":"1983","last_page":"1990"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9753999710083008,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9753999710083008,"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/T14083","display_name":"Extremum Seeking Control Systems","score":0.9674999713897705,"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/T11749","display_name":"Iterative Learning Control Systems","score":0.9664000272750854,"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/mathematical-proof","display_name":"Mathematical proof","score":0.8155999779701233},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.7141000032424927},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6518999934196472},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5853000283241272},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5625},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5490999817848206},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.545799970626831},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.46939998865127563},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.4410000145435333}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.8155999779701233},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.7141000032424927},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6518999934196472},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5853000283241272},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5625},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5490999817848206},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.545799970626831},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.46939998865127563},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4447000026702881},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.4410000145435333},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43529999256134033},{"id":"https://openalex.org/C51568863","wikidata":"https://www.wikidata.org/wiki/Q664495","display_name":"Lie algebra","level":2,"score":0.38830000162124634},{"id":"https://openalex.org/C187915474","wikidata":"https://www.wikidata.org/wiki/Q622679","display_name":"Lie group","level":2,"score":0.3815000057220459},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.3799000084400177},{"id":"https://openalex.org/C91581856","wikidata":"https://www.wikidata.org/wiki/Q2707001","display_name":"Nonlinear control","level":3,"score":0.3790999948978424},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.37610000371932983},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.35839998722076416},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3546999990940094},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.3506999909877777},{"id":"https://openalex.org/C2779791154","wikidata":"https://www.wikidata.org/wiki/Q258040","display_name":"Model transformation","level":3,"score":0.3382999897003174},{"id":"https://openalex.org/C39920418","wikidata":"https://www.wikidata.org/wiki/Q11476","display_name":"Kinematics","level":2,"score":0.29100000858306885},{"id":"https://openalex.org/C158457486","wikidata":"https://www.wikidata.org/wiki/Q17104301","display_name":"Multidimensional systems","level":2,"score":0.2773999869823456},{"id":"https://openalex.org/C148043351","wikidata":"https://www.wikidata.org/wiki/Q4456944","display_name":"Current (fluid)","level":2,"score":0.26980000734329224},{"id":"https://openalex.org/C143170015","wikidata":"https://www.wikidata.org/wiki/Q17007850","display_name":"Stability conditions","level":3,"score":0.26159998774528503},{"id":"https://openalex.org/C121047784","wikidata":"https://www.wikidata.org/wiki/Q7623607","display_name":"Strict-feedback form","level":5,"score":0.25949999690055847},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.25029999017715454}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2025.3619328","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2025.3619328","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2335503236","display_name":null,"funder_award_id":"62303410","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"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0],"propose":[1,96],"a":[2,21,33,44,56,85,90,97,106],"novel":[3],"stability":[4],"analysis":[5,37,67],"for":[6,99,110],"affine":[7],"systems":[8],"with":[9],"unknown":[10],"control":[11],"directions,":[12],"focusing":[13],"on":[14,69],"stabilization":[15],"through":[16],"extremum":[17],"seeking":[18],"to":[19,38,64],"minimize":[20],"Lyapunov":[22],"function.":[23],"Our":[24],"approach":[25],"draws":[26],"inspiration":[27],"from":[28,50],"Lie":[29,70],"bracket":[30,71],"systems,":[31,72],"employing":[32],"transformation":[34],"using":[35],"time-delay":[36,46,76],"convert":[39],"the":[40,65,73,111],"closed-loop":[41],"system":[42],"into":[43,84],"nominal":[45],"system.":[47],"Leveraging":[48],"techniques":[49],"Input-to-State":[51],"Stability":[52],"(ISS),":[53],"we":[54,95],"provide":[55,105],"proof":[57],"of":[58,75],"semiglobal":[59],"practical":[60],"asymptotic":[61],"stability.":[62],"Compared":[63],"preceding":[66],"based":[68],"use":[74],"methods":[77],"transforms":[78],"intricate":[79],"mathematical":[80],"discussions":[81],"and":[82,103],"proofs":[83],"structured":[86],"computational":[87],"framework,":[88],"facilitating":[89],"more":[91,107],"intuitive":[92],"understanding.":[93],"Also,":[94],"method":[98],"selecting":[100],"controller":[101],"parameters":[102],"can":[104],"comprehensive":[108],"explanation":[109],"current":[112],"high-gain":[113],"parameter":[114],"choices.":[115]},"counts_by_year":[],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
