{"id":"https://openalex.org/W2120609681","doi":"https://doi.org/10.1109/tnn.2009.2016959","title":"Adaptive Neural Control for a Class of Nonlinear Systems With Uncertain Hysteresis Inputs and Time-Varying State Delays","display_name":"Adaptive Neural Control for a Class of Nonlinear Systems With Uncertain Hysteresis Inputs and Time-Varying State Delays","publication_year":2009,"publication_date":"2009-05-27","ids":{"openalex":"https://openalex.org/W2120609681","doi":"https://doi.org/10.1109/tnn.2009.2016959","mag":"2120609681","pmid":"https://pubmed.ncbi.nlm.nih.gov/19482574"},"language":"en","primary_location":{"id":"doi:10.1109/tnn.2009.2016959","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnn.2009.2016959","pdf_url":null,"source":{"id":"https://openalex.org/S42080949","display_name":"IEEE Transactions on Neural Networks","issn_l":"1045-9227","issn":["1045-9227","1941-0093"],"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 Neural Networks","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5032463389","display_name":"Beibei Ren","orcid":"https://orcid.org/0000-0002-8491-3717"},"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":"B. Ren","raw_affiliation_strings":["Department of Electrical and Computer Engineering, National University of Singapore, Singapore 117576, Singapore. renbeibei@nus.edu.sg","[Dept. of Electr. & Comput. Eng., Nat. Univ. of Singapore, Singapore, Singapore]"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, National University of Singapore, Singapore 117576, Singapore. renbeibei@nus.edu.sg","institution_ids":["https://openalex.org/I165932596"]},{"raw_affiliation_string":"[Dept. of Electr. & Comput. Eng., Nat. Univ. of Singapore, Singapore, Singapore]","institution_ids":["https://openalex.org/I165932596"]}]},{"author_position":"middle","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":"S.S. Ge","raw_affiliation_strings":["Department of Electrical and Computer Engineering, National University of Singapore, Singapore","[Dept. of Electr. & Comput. Eng., Nat. Univ. of Singapore, Singapore, Singapore]"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, National University of Singapore, Singapore","institution_ids":["https://openalex.org/I165932596"]},{"raw_affiliation_string":"[Dept. of Electr. & Comput. Eng., Nat. Univ. of Singapore, Singapore, Singapore]","institution_ids":["https://openalex.org/I165932596"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026685411","display_name":"Tong Heng Lee","orcid":"https://orcid.org/0000-0002-2785-516X"},"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":"Tong Heng Lee","raw_affiliation_strings":["Department of Electrical and Computer Engineering, National University of Singapore, Singapore","[Dept. of Electr. & Comput. Eng., Nat. Univ. of Singapore, Singapore, Singapore]"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, National University of Singapore, Singapore","institution_ids":["https://openalex.org/I165932596"]},{"raw_affiliation_string":"[Dept. of Electr. & Comput. Eng., Nat. Univ. of Singapore, Singapore, Singapore]","institution_ids":["https://openalex.org/I165932596"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076212272","display_name":"Chun\u2010Yi Su","orcid":"https://orcid.org/0000-0002-1869-5563"},"institutions":[{"id":"https://openalex.org/I60158472","display_name":"Concordia University","ror":"https://ror.org/0420zvk78","country_code":"CA","type":"education","lineage":["https://openalex.org/I60158472"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Chun-Yi Su","raw_affiliation_strings":["Department of Mechanical and Industrial Engineering, Concordia University, Montreal, QUE, Canada","Department of Mechanical and Industrial Engineering, Concordia University, Montr\u00e9al, QC, Canada#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Industrial Engineering, Concordia University, Montreal, QUE, Canada","institution_ids":["https://openalex.org/I60158472"]},{"raw_affiliation_string":"Department of Mechanical and Industrial Engineering, Concordia University, Montr\u00e9al, QC, Canada#TAB#","institution_ids":["https://openalex.org/I60158472"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5032463389"],"corresponding_institution_ids":["https://openalex.org/I165932596"],"apc_list":null,"apc_paid":null,"fwci":8.4196,"has_fulltext":false,"cited_by_count":89,"citation_normalized_percentile":{"value":0.9729002,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"20","issue":"7","first_page":"1148","last_page":"1164"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11525","display_name":"Piezoelectric Actuators and Control","score":0.9987999796867371,"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/T11525","display_name":"Piezoelectric Actuators and Control","score":0.9987999796867371,"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/T10865","display_name":"Shape Memory Alloy Transformations","score":0.9940000176429749,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9835000038146973,"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":0.8263672590255737},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7033097147941589},{"id":"https://openalex.org/keywords/hysteresis","display_name":"Hysteresis","score":0.596543550491333},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5795758366584778},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.5455718040466309},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5176746845245361},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.4959586560726166},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.4892992675304413},{"id":"https://openalex.org/keywords/backstepping","display_name":"Backstepping","score":0.482218861579895},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4754697382450104},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4410221576690674},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4231411814689636},{"id":"https://openalex.org/keywords/state-variable","display_name":"State variable","score":0.4140462279319763},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.365586519241333},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09312927722930908},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07159668207168579}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8263672590255737},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7033097147941589},{"id":"https://openalex.org/C123299182","wikidata":"https://www.wikidata.org/wiki/Q190837","display_name":"Hysteresis","level":2,"score":0.596543550491333},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5795758366584778},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.5455718040466309},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5176746845245361},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.4959586560726166},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4892992675304413},{"id":"https://openalex.org/C72218879","wikidata":"https://www.wikidata.org/wiki/Q4839759","display_name":"Backstepping","level":4,"score":0.482218861579895},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4754697382450104},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4410221576690674},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4231411814689636},{"id":"https://openalex.org/C129537906","wikidata":"https://www.wikidata.org/wiki/Q7603913","display_name":"State variable","level":2,"score":0.4140462279319763},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.365586519241333},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09312927722930908},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07159668207168579},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D001185","descriptor_name":"Artificial Intelligence","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D001185","descriptor_name":"Artificial Intelligence","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D001185","descriptor_name":"Artificial Intelligence","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D012371","descriptor_name":"Robotics","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D012371","descriptor_name":"Robotics","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D012371","descriptor_name":"Robotics","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D012984","descriptor_name":"Software","qualifier_ui":"Q000639","qualifier_name":"trends","is_major_topic":false},{"descriptor_ui":"D012984","descriptor_name":"Software","qualifier_ui":"Q000639","qualifier_name":"trends","is_major_topic":false},{"descriptor_ui":"D012984","descriptor_name":"Software","qualifier_ui":"Q000639","qualifier_name":"trends","is_major_topic":false},{"descriptor_ui":"D013997","descriptor_name":"Time Factors","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013997","descriptor_name":"Time Factors","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013997","descriptor_name":"Time Factors","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true}],"locations_count":3,"locations":[{"id":"doi:10.1109/tnn.2009.2016959","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnn.2009.2016959","pdf_url":null,"source":{"id":"https://openalex.org/S42080949","display_name":"IEEE Transactions on Neural Networks","issn_l":"1045-9227","issn":["1045-9227","1941-0093"],"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 Neural Networks","raw_type":"journal-article"},{"id":"pmid:19482574","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/19482574","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on neural networks","raw_type":null},{"id":"pmh:oai:scholarbank.nus.edu.sg:10635/54907","is_oa":false,"landing_page_url":"http://scholarbank.nus.edu.sg/handle/10635/54907","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":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W44157068","https://openalex.org/W1484863191","https://openalex.org/W1488596142","https://openalex.org/W1506119886","https://openalex.org/W1533970237","https://openalex.org/W1548148540","https://openalex.org/W1559107966","https://openalex.org/W1572326640","https://openalex.org/W1589577058","https://openalex.org/W1975316257","https://openalex.org/W1980891681","https://openalex.org/W1988098342","https://openalex.org/W1990157314","https://openalex.org/W2001096883","https://openalex.org/W2006488216","https://openalex.org/W2017941395","https://openalex.org/W2049778360","https://openalex.org/W2050246747","https://openalex.org/W2051671655","https://openalex.org/W2057852635","https://openalex.org/W2079871064","https://openalex.org/W2081893290","https://openalex.org/W2090167557","https://openalex.org/W2092366825","https://openalex.org/W2098028427","https://openalex.org/W2098143458","https://openalex.org/W2102466515","https://openalex.org/W2110355004","https://openalex.org/W2115607130","https://openalex.org/W2122836694","https://openalex.org/W2143121414","https://openalex.org/W2150535417","https://openalex.org/W2158036483","https://openalex.org/W2161450707","https://openalex.org/W2162061008","https://openalex.org/W2162728015","https://openalex.org/W2164478659","https://openalex.org/W2166470640","https://openalex.org/W2167287735","https://openalex.org/W3104471247","https://openalex.org/W3145182659","https://openalex.org/W4285719527","https://openalex.org/W6684526391"],"related_works":["https://openalex.org/W1765905465","https://openalex.org/W2793080664","https://openalex.org/W2186140227","https://openalex.org/W2132535444","https://openalex.org/W2534185822","https://openalex.org/W1847613412","https://openalex.org/W2972367213","https://openalex.org/W4382203996","https://openalex.org/W2015036175","https://openalex.org/W1934622834"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"adaptive":[3],"variable":[4],"structure":[5],"neural":[6],"control":[7,70],"is":[8,55,72],"investigated":[9],"for":[10,34],"a":[11],"class":[12],"of":[13,19,45,87],"nonlinear":[14],"systems":[15],"under":[16],"the":[17,40,43,46,50,59,64,68,85,88],"effects":[18],"time-varying":[20,29],"state":[21],"delays":[22],"and":[23,42],"uncertain":[24,47],"hysteresis":[25,48],"inputs.":[26],"The":[27],"unknown":[28],"delay":[30],"uncertainties":[31],"are":[32],"compensated":[33],"using":[35,58],"appropriate":[36],"Lyapunov-Krasovskii":[37],"functionals":[38],"in":[39],"design,":[41],"effect":[44],"with":[49],"Prandtl-Ishlinskii":[51],"(PI)":[52],"model":[53],"representation":[54],"also":[56],"mitigated":[57],"proposed":[60,89],"control.":[61],"By":[62],"utilizing":[63],"integral-type":[65],"Lyapunov":[66],"function,":[67],"closed-loop":[69],"system":[71],"proved":[73],"to":[74],"be":[75],"semiglobally":[76],"uniformly":[77],"ultimately":[78],"bounded":[79],"(SGUUB).":[80],"Extensive":[81],"simulation":[82],"results":[83],"demonstrate":[84],"effectiveness":[86],"approach.":[90]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":10},{"year":2016,"cited_by_count":14},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":12},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":6}],"updated_date":"2026-01-13T01:12:25.745995","created_date":"2025-10-10T00:00:00"}