{"id":"https://openalex.org/W2098265936","doi":"https://doi.org/10.1109/cdc.2007.4434201","title":"Adaptive control for a discrete-time first-order nonlinear system with both parametric and non-parametric uncertainties","display_name":"Adaptive control for a discrete-time first-order nonlinear system with both parametric and non-parametric uncertainties","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2098265936","doi":"https://doi.org/10.1109/cdc.2007.4434201","mag":"2098265936"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2007.4434201","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2007.4434201","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 46th IEEE Conference on Decision and Control","raw_type":"proceedings-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/A5072523018","display_name":"Hongbin Ma","orcid":"https://orcid.org/0000-0002-5734-3157"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":true,"raw_author_name":"Hongbin Ma","raw_affiliation_strings":["The Temasek Laboratories, National University of Singapore, Singapore","Nat. Univ. of Singapore, Singapore"],"affiliations":[{"raw_affiliation_string":"The Temasek Laboratories, National University of Singapore, Singapore","institution_ids":["https://openalex.org/I165932596"]},{"raw_affiliation_string":"Nat. Univ. of Singapore, Singapore","institution_ids":["https://openalex.org/I165932596"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046285700","display_name":"Kai\u2010Yew Lum","orcid":"https://orcid.org/0000-0002-5594-0142"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Kai-Yew Lum","raw_affiliation_strings":["The Temasek Laboratories, National University of Singapore, Singapore","Nat. Univ. of Singapore, Singapore"],"affiliations":[{"raw_affiliation_string":"The Temasek Laboratories, National University of Singapore, Singapore","institution_ids":["https://openalex.org/I165932596"]},{"raw_affiliation_string":"Nat. Univ. of Singapore, Singapore","institution_ids":["https://openalex.org/I165932596"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008501506","display_name":"Shuzhi Sam Ge","orcid":"https://orcid.org/0000-0001-5549-312X"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Shuzhi Sam Ge","raw_affiliation_strings":["Department of Electrical and Computer Engineering, National University of Singapore, Singapore"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, National University of Singapore, Singapore","institution_ids":["https://openalex.org/I165932596"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5072523018"],"corresponding_institution_ids":["https://openalex.org/I165932596"],"apc_list":null,"apc_paid":null,"fwci":5.2255,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.9532566,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"4839","last_page":"4844"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9994000196456909,"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"}},"topics":[{"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/T10244","display_name":"Chaos control and synchronization","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12158","display_name":"Guidance and Control Systems","score":0.991100013256073,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/parametric-statistics","display_name":"Parametric statistics","score":0.8714981079101562},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7631688117980957},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7094554901123047},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.594960629940033},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.512682318687439},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5072407126426697},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.4822552800178528},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.47554633021354675},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.46805518865585327},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.44178590178489685},{"id":"https://openalex.org/keywords/exponent","display_name":"Exponent","score":0.4133305549621582},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4085387587547302},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.31151318550109863},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20197981595993042},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.19999203085899353},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13907518982887268},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06824880838394165}],"concepts":[{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.8714981079101562},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7631688117980957},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7094554901123047},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.594960629940033},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.512682318687439},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5072407126426697},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.4822552800178528},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.47554633021354675},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.46805518865585327},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.44178590178489685},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.4133305549621582},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4085387587547302},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31151318550109863},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20197981595993042},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.19999203085899353},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13907518982887268},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06824880838394165},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2007.4434201","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2007.4434201","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 46th IEEE Conference on Decision and Control","raw_type":"proceedings-article"},{"id":"pmh:oai:scholarbank.nus.edu.sg:10635/51104","is_oa":false,"landing_page_url":"http://scholarbank.nus.edu.sg/handle/10635/51104","pdf_url":null,"source":{"id":"https://openalex.org/S7407052290","display_name":"National University of Singapore","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Scopus","raw_type":"Conference Paper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1505725179","https://openalex.org/W1868559974","https://openalex.org/W1968315580","https://openalex.org/W1971272546","https://openalex.org/W2029671570","https://openalex.org/W2065313971","https://openalex.org/W2067603665","https://openalex.org/W2068244178","https://openalex.org/W2090167557","https://openalex.org/W2098549931","https://openalex.org/W2144860711","https://openalex.org/W2147824688","https://openalex.org/W2167299717","https://openalex.org/W2169922177","https://openalex.org/W2170842036","https://openalex.org/W2623785075"],"related_works":["https://openalex.org/W3185235544","https://openalex.org/W2897842840","https://openalex.org/W2911623553","https://openalex.org/W4297791327","https://openalex.org/W2397777611","https://openalex.org/W1502031429","https://openalex.org/W2318923278","https://openalex.org/W2417585376","https://openalex.org/W1990473637","https://openalex.org/W1832247486"],"abstract_inverted_index":{"A":[0],"simple":[1],"first-order":[2],"discrete-time":[3],"nonlinear":[4],"system,":[5],"which":[6,87],"has":[7],"both":[8,54],"parametric":[9,13,36],"uncertainty":[10,21],"and":[11,32,60,64,94],"non":[12],"uncertainty,":[14],"is":[15,25,38,48,68],"studied":[16],"in":[17,53,89],"this":[18,51],"paper.":[19],"The":[20],"of":[22,35,56,96],"non-parametric":[23],"part":[24,37],"characterized":[26,39],"by":[27,40],"a":[28],"Lipschitz":[29],"constant":[30],"L,":[31],"the":[33,77,81,97],"nonlinearity":[34],"an":[41],"exponent":[42],"index":[43],"b.":[44],"An":[45],"adaptive":[46],"controller":[47],"constructed":[49],"for":[50],"model":[52],"cases":[55],"b":[57,61,74],"=":[58,75],"1":[59],">":[62],"1,":[63,76],"its":[65],"closed-loop":[66],"stability":[67],"established":[69],"under":[70],"some":[71],"conditions.":[72],"When":[73],"conditions":[78],"given":[79],"reveal":[80],"magic":[82],"number":[83],"3/2":[84],"+":[85],"\u221a2":[86],"appeared":[88],"previous":[90],"study":[91],"on":[92],"capability":[93],"limitations":[95],"feedback":[98],"mechanism.":[99]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
