{"id":"https://openalex.org/W2131246139","doi":"https://doi.org/10.1109/ecc.2015.7331091","title":"Lyapunov-based backstepping control of a class of linear systems without overparametrization, tuning functions or nonlinear damping","display_name":"Lyapunov-based backstepping control of a class of linear systems without overparametrization, tuning functions or nonlinear damping","publication_year":2015,"publication_date":"2015-07-01","ids":{"openalex":"https://openalex.org/W2131246139","doi":"https://doi.org/10.1109/ecc.2015.7331091","mag":"2131246139"},"language":"en","primary_location":{"id":"doi:10.1109/ecc.2015.7331091","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ecc.2015.7331091","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 European Control Conference (ECC)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5101996724","display_name":"Yang Zhu","orcid":"https://orcid.org/0000-0003-4110-6445"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]},{"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"]},{"id":"https://openalex.org/I55712492","display_name":"Zhejiang University of Technology","ror":"https://ror.org/02djqfd08","country_code":"CN","type":"education","lineage":["https://openalex.org/I55712492"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"Yang Zhu","raw_affiliation_strings":["Department of Mechanical and Aerospace Engineering, University of California, San Diego, CA, USA","State Key Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou, P.R.China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Aerospace Engineering, University of California, San Diego, CA, USA","institution_ids":["https://openalex.org/I36258959"]},{"raw_affiliation_string":"State Key Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou, P.R.China","institution_ids":["https://openalex.org/I4391767838","https://openalex.org/I55712492"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018293076","display_name":"Miroslav Krsti\u0107","orcid":"https://orcid.org/0000-0002-5523-941X"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Miroslav Krstic","raw_affiliation_strings":["Department of Mechanical and Aerospace Engineering, University of California, San Diego, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Aerospace Engineering, University of California, San Diego, CA, USA","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078403818","display_name":"Hongye Su","orcid":"https://orcid.org/0000-0002-7003-1000"},"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"]},{"id":"https://openalex.org/I55712492","display_name":"Zhejiang University of Technology","ror":"https://ror.org/02djqfd08","country_code":"CN","type":"education","lineage":["https://openalex.org/I55712492"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongye Su","raw_affiliation_strings":["State Key Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou, P.R.China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou, P.R.China","institution_ids":["https://openalex.org/I4391767838","https://openalex.org/I55712492"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"3609","last_page":"3616"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","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/T11110","display_name":"Stability and Controllability of Differential Equations","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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9994000196456909,"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":0.9993000030517578,"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/backstepping","display_name":"Backstepping","score":0.9775310754776001},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.8071521520614624},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.6661040782928467},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5615949630737305},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.5444156527519226},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5415942072868347},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5219813585281372},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4935513734817505},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.48523855209350586},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.4831242263317108},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.4759923219680786},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3889237642288208},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2744060754776001},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07129251956939697},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.054870396852493286}],"concepts":[{"id":"https://openalex.org/C72218879","wikidata":"https://www.wikidata.org/wiki/Q4839759","display_name":"Backstepping","level":4,"score":0.9775310754776001},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8071521520614624},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.6661040782928467},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5615949630737305},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.5444156527519226},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5415942072868347},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5219813585281372},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4935513734817505},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.48523855209350586},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.4831242263317108},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.4759923219680786},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3889237642288208},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2744060754776001},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07129251956939697},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.054870396852493286},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ecc.2015.7331091","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ecc.2015.7331091","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 European Control Conference (ECC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W105751747","https://openalex.org/W130083205","https://openalex.org/W1569320505","https://openalex.org/W1572161815","https://openalex.org/W1592439835","https://openalex.org/W1995097025","https://openalex.org/W2047993072","https://openalex.org/W2057830414","https://openalex.org/W2072222168","https://openalex.org/W2090167557","https://openalex.org/W2096110083","https://openalex.org/W2108973356","https://openalex.org/W2155166633","https://openalex.org/W2163764169","https://openalex.org/W2623785075","https://openalex.org/W4207092385","https://openalex.org/W6668564358"],"related_works":["https://openalex.org/W1847613412","https://openalex.org/W4382203996","https://openalex.org/W2164703465","https://openalex.org/W2168383058","https://openalex.org/W2143247663","https://openalex.org/W2050693590","https://openalex.org/W1934622834","https://openalex.org/W2015036175","https://openalex.org/W2054171707","https://openalex.org/W1716629940"],"abstract_inverted_index":{"The":[0,57],"adaptive":[1],"backstepping":[2,38],"approach":[3],"has":[4],"been":[5],"an":[6],"effective":[7],"tool":[8],"in":[9],"control":[10,39],"of":[11,44,63],"uncertain":[12,45],"linear":[13,37,46],"systems.":[14],"However,":[15],"its":[16,54],"traditional":[17],"recursive":[18],"non-linear":[19],"design":[20],"is":[21,30,51],"complicated,":[22],"especially":[23],"for":[24,41],"a":[25,35,42],"plant":[26],"whose":[27,48],"relative":[28,49],"degree":[29,50],"high.":[31],"This":[32],"paper":[33],"proposes":[34],"Lyapunov-based":[36],"scheme":[40],"kind":[43],"systems":[47],"identical":[52],"with":[53],"system":[55,66],"dimension.":[56],"global":[58],"stability":[59],"and":[60],"asymptotic":[61],"convergence":[62],"the":[64],"closed-loop":[65],"are":[67],"guaranteed.":[68]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}