{"id":"https://openalex.org/W2401191480","doi":"https://doi.org/10.1080/00207179.2016.1178810","title":"Robust adaptive control of strict-feedback nonlinear systems with unmodelled dynamics and time-varying delays","display_name":"Robust adaptive control of strict-feedback nonlinear systems with unmodelled dynamics and time-varying delays","publication_year":2016,"publication_date":"2016-05-16","ids":{"openalex":"https://openalex.org/W2401191480","doi":"https://doi.org/10.1080/00207179.2016.1178810","mag":"2401191480"},"language":"en","primary_location":{"id":"doi:10.1080/00207179.2016.1178810","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2016.1178810","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of 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":"https://openalex.org/A5101796994","display_name":"Xiaocheng Shi","orcid":"https://orcid.org/0000-0003-4211-640X"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaocheng Shi","raw_affiliation_strings":["School of Automation, Nanjing University of Science and Technology, Nanjing, Jiangsu, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Automation, Nanjing University of Science and Technology, Nanjing, Jiangsu, P.R. China","institution_ids":["https://openalex.org/I36399199"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100363679","display_name":"Shengyuan Xu","orcid":"https://orcid.org/0000-0002-3015-0662"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shengyuan Xu","raw_affiliation_strings":["School of Automation, Nanjing University of Science and Technology, Nanjing, Jiangsu, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Automation, Nanjing University of Science and Technology, Nanjing, Jiangsu, P.R. China","institution_ids":["https://openalex.org/I36399199"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101434054","display_name":"Yongmin Li","orcid":"https://orcid.org/0000-0001-6645-5356"},"institutions":[{"id":"https://openalex.org/I3018263800","display_name":"Huzhou Normal University","ror":"https://ror.org/04mvpxy20","country_code":"CN","type":"education","lineage":["https://openalex.org/I3018263800"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yongmin Li","raw_affiliation_strings":["School of Science, Huzhou Teachers College, Huzhou, Zhejiang, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science, Huzhou Teachers College, Huzhou, Zhejiang, P.R. China","institution_ids":["https://openalex.org/I3018263800"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020453892","display_name":"Weimin Chen","orcid":"https://orcid.org/0000-0002-6405-9509"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weimin Chen","raw_affiliation_strings":["School of Science, Nanjing University of Science and Technology, Nanjing, Jiangsu, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science, Nanjing University of Science and Technology, Nanjing, Jiangsu, P.R. China","institution_ids":["https://openalex.org/I36399199"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046314241","display_name":"Yu\u2010Ming Chu","orcid":"https://orcid.org/0000-0002-0944-2134"},"institutions":[{"id":"https://openalex.org/I3018263800","display_name":"Huzhou Normal University","ror":"https://ror.org/04mvpxy20","country_code":"CN","type":"education","lineage":["https://openalex.org/I3018263800"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuming Chu","raw_affiliation_strings":["School of Science, Huzhou Teachers College, Huzhou, Zhejiang, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science, Huzhou Teachers College, Huzhou, Zhejiang, P.R. China","institution_ids":["https://openalex.org/I3018263800"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100363679"],"corresponding_institution_ids":["https://openalex.org/I36399199"],"apc_list":null,"apc_paid":null,"fwci":2.234,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.87713753,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"90","issue":"2","first_page":"334","last_page":"347"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9998999834060669,"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":0.9998999834060669,"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/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9857000112533569,"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":0.8248100280761719},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.8012146949768066},{"id":"https://openalex.org/keywords/robustification","display_name":"Robustification","score":0.7690004110336304},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6306629180908203},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5748612284660339},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5549988150596619},{"id":"https://openalex.org/keywords/tracking-error","display_name":"Tracking error","score":0.5296565890312195},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.46267861127853394},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.4406544864177704},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.432783842086792},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28227078914642334},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.22727984189987183},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11882591247558594}],"concepts":[{"id":"https://openalex.org/C72218879","wikidata":"https://www.wikidata.org/wiki/Q4839759","display_name":"Backstepping","level":4,"score":0.8248100280761719},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8012146949768066},{"id":"https://openalex.org/C2778584072","wikidata":"https://www.wikidata.org/wiki/Q7353545","display_name":"Robustification","level":3,"score":0.7690004110336304},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6306629180908203},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5748612284660339},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5549988150596619},{"id":"https://openalex.org/C183356978","wikidata":"https://www.wikidata.org/wiki/Q1779213","display_name":"Tracking error","level":3,"score":0.5296565890312195},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.46267861127853394},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.4406544864177704},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.432783842086792},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28227078914642334},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.22727984189987183},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11882591247558594},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C79337645","wikidata":"https://www.wikidata.org/wiki/Q779824","display_name":"Outlier","level":2,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207179.2016.1178810","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2016.1178810","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.49000000953674316,"display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G5731307485","display_name":null,"funder_award_id":"61174076, 61374086, 61374087, 61573007","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6910939234","display_name":null,"funder_award_id":"IRT13072","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W132264163","https://openalex.org/W1952601072","https://openalex.org/W1967633750","https://openalex.org/W1967964192","https://openalex.org/W1977237536","https://openalex.org/W1980580799","https://openalex.org/W1990157314","https://openalex.org/W1994507996","https://openalex.org/W1996352702","https://openalex.org/W2001322648","https://openalex.org/W2006025321","https://openalex.org/W2010629382","https://openalex.org/W2013297916","https://openalex.org/W2021724787","https://openalex.org/W2021738630","https://openalex.org/W2035233587","https://openalex.org/W2046826849","https://openalex.org/W2047993072","https://openalex.org/W2049933349","https://openalex.org/W2050246747","https://openalex.org/W2090167557","https://openalex.org/W2106071123","https://openalex.org/W2108950502","https://openalex.org/W2114265613","https://openalex.org/W2117830806","https://openalex.org/W2122995702","https://openalex.org/W2130462650","https://openalex.org/W2133869087","https://openalex.org/W2137352610","https://openalex.org/W2142129363","https://openalex.org/W2144784132","https://openalex.org/W2166206724","https://openalex.org/W2172068018","https://openalex.org/W2179457994","https://openalex.org/W2187215014","https://openalex.org/W2348370446","https://openalex.org/W2461227529","https://openalex.org/W3023665282","https://openalex.org/W4206318793"],"related_works":["https://openalex.org/W1967964192","https://openalex.org/W2170426841","https://openalex.org/W1480527559","https://openalex.org/W2157109087","https://openalex.org/W2021013989","https://openalex.org/W2972830349","https://openalex.org/W2786664513","https://openalex.org/W2103860104","https://openalex.org/W3154730929","https://openalex.org/W2036803292"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,15,119],"novel":[4],"robust":[5],"adaptive":[6,19],"neural":[7,45],"control":[8],"scheme":[9],"which":[10],"can":[11],"be":[12],"taken":[13],"as":[14],"robustification":[16],"of":[17,25,69,121],"the":[18,52,65,70,82,95,101,104,113],"backstepping":[20],"design.":[21],"The":[22,41],"considered":[23],"class":[24],"uncertainties":[26,73],"contains":[27],"unknown":[28,35,53],"non-symmetric":[29],"dead-zone":[30],"inputs,":[31],"time-varying":[32,71],"delay":[33,72],"uncertainties,":[34],"dynamic":[36],"disturbances":[37],"and":[38,80,112],"unmodelled":[39,87],"dynamics.":[40],"radial":[42],"basis":[43],"function":[44],"networks":[46],"(RBFNNs)":[47],"are":[48,74,89,107],"employed":[49],"to":[50,86,118],"approximate":[51],"nonlinear":[54],"functions":[55,68],"obtained":[56],"by":[57],"Young\u2019s":[58,78],"inequality.":[59],"By":[60],"constructing":[61],"exponential":[62],"Lyapunov-Krasovskii":[63],"functionals,":[64],"upper":[66],"bound":[67],"compensated":[75],"for.":[76],"Using":[77],"inequality":[79],"RBFNNs,":[81],"assumptions":[83],"with":[84],"respect":[85],"dynamics":[88],"relaxed.":[90],"It":[91],"is":[92],"demonstrated":[93],"that":[94,99],"proposed":[96],"controller":[97],"guarantees":[98],"all":[100],"signals":[102],"in":[103],"closed-loop":[105],"system":[106],"semi-globally":[108],"uniformly":[109],"ultimately":[110],"bounded":[111],"tracking":[114],"error":[115],"eventually":[116],"converges":[117],"neighbourhood":[120],"zero.":[122]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":8}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2025-10-10T00:00:00"}