{"id":"https://openalex.org/W2899605585","doi":"https://doi.org/10.1142/s1793962319410095","title":"Global Stabilization for a class of nonlinear fractional-order systems","display_name":"Global Stabilization for a class of nonlinear fractional-order systems","publication_year":2018,"publication_date":"2018-11-09","ids":{"openalex":"https://openalex.org/W2899605585","doi":"https://doi.org/10.1142/s1793962319410095","mag":"2899605585"},"language":"en","primary_location":{"id":"doi:10.1142/s1793962319410095","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793962319410095","pdf_url":null,"source":{"id":"https://openalex.org/S107361000","display_name":"Advances in Complex Systems","issn_l":"0219-5259","issn":["0219-5259","1793-6802","1793-9615","1793-9623"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Modeling, Simulation, and Scientific Computing","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/A5019645256","display_name":"Taide Liu","orcid":"https://orcid.org/0000-0002-9623-3137"},"institutions":[{"id":"https://openalex.org/I4210164522","display_name":"Pingxiang University","ror":"https://ror.org/05j5de504","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210164522"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Taide Liu","raw_affiliation_strings":["Department of Education Science, Pingxiang University, Pingxiang, 337055, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Education Science, Pingxiang University, Pingxiang, 337055, P. R. China","institution_ids":["https://openalex.org/I4210164522"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100431348","display_name":"Feng Wang","orcid":"https://orcid.org/0000-0003-0343-6910"},"institutions":[{"id":"https://openalex.org/I4210164522","display_name":"Pingxiang University","ror":"https://ror.org/05j5de504","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210164522"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Feng Wang","raw_affiliation_strings":["Department of Mathematics, Pingxiang University, Pingxiang, 337055, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Pingxiang University, Pingxiang, 337055, P. R. China","institution_ids":["https://openalex.org/I4210164522"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100298260","display_name":"Wanchun Lu","orcid":null},"institutions":[{"id":"https://openalex.org/I4210164522","display_name":"Pingxiang University","ror":"https://ror.org/05j5de504","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210164522"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wanchun Lu","raw_affiliation_strings":["Department of Mathematics, Pingxiang University, Pingxiang, 337055, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Pingxiang University, Pingxiang, 337055, P. R. China","institution_ids":["https://openalex.org/I4210164522"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049787892","display_name":"Xuhuan Wang","orcid":"https://orcid.org/0000-0001-9318-5152"},"institutions":[{"id":"https://openalex.org/I4210164522","display_name":"Pingxiang University","ror":"https://ror.org/05j5de504","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210164522"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xuhuan Wang","raw_affiliation_strings":["Department of Education Science, Pingxiang University, Pingxiang, 337055, P. R. China"],"raw_orcid":"https://orcid.org/0000-0001-9318-5152","affiliations":[{"raw_affiliation_string":"Department of Education Science, Pingxiang University, Pingxiang, 337055, P. R. China","institution_ids":["https://openalex.org/I4210164522"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210164522"],"apc_list":null,"apc_paid":null,"fwci":0.3747,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.62506659,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"10","issue":"01","first_page":"1941009","last_page":"1941009"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":0.9997000098228455,"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/T11081","display_name":"Advanced Control Systems Design","score":0.9997000098228455,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9936000108718872,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T14083","display_name":"Extremum Seeking Control Systems","score":0.9919000267982483,"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":0.8680857419967651},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7651017904281616},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6433957815170288},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6061078310012817},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5984455943107605},{"id":"https://openalex.org/keywords/fractional-order-system","display_name":"Fractional-order system","score":0.5951352715492249},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5848314166069031},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5614054799079895},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.546187162399292},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5362614393234253},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4943513870239258},{"id":"https://openalex.org/keywords/stabilizer","display_name":"Stabilizer (aeronautics)","score":0.42124372720718384},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4150583744049072},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.4133695960044861},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38540583848953247},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3196166753768921},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.10401207208633423},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.07774251699447632},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.07550135254859924},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07252684235572815},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.06335610151290894}],"concepts":[{"id":"https://openalex.org/C72218879","wikidata":"https://www.wikidata.org/wiki/Q4839759","display_name":"Backstepping","level":4,"score":0.8680857419967651},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7651017904281616},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6433957815170288},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6061078310012817},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5984455943107605},{"id":"https://openalex.org/C2779728712","wikidata":"https://www.wikidata.org/wiki/Q17014617","display_name":"Fractional-order system","level":3,"score":0.5951352715492249},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5848314166069031},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5614054799079895},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.546187162399292},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5362614393234253},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4943513870239258},{"id":"https://openalex.org/C2777502316","wikidata":"https://www.wikidata.org/wiki/Q2712515","display_name":"Stabilizer (aeronautics)","level":2,"score":0.42124372720718384},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4150583744049072},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.4133695960044861},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38540583848953247},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3196166753768921},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.10401207208633423},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.07774251699447632},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.07550135254859924},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07252684235572815},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.06335610151290894},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","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},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793962319410095","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793962319410095","pdf_url":null,"source":{"id":"https://openalex.org/S107361000","display_name":"Advances in Complex Systems","issn_l":"0219-5259","issn":["0219-5259","1793-6802","1793-9615","1793-9623"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Modeling, Simulation, and Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1482650638","display_name":null,"funder_award_id":"GJJ161261","funder_id":"https://openalex.org/F4320325626","funder_display_name":"Education Department of Jiangxi Province"},{"id":"https://openalex.org/G8554812716","display_name":"\u5206\u6570\u9636\u7cfb\u7edf\u7684\u674e\u96c5\u666e\u6d1b\u592b\u578b\u4e0d\u7b49\u5f0f\u53ca\u5176\u7a33\u5b9a\u6027\u7814\u7a76","funder_award_id":"11661065","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"},{"id":"https://openalex.org/F4320325626","display_name":"Education Department of Jiangxi Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1916426417","https://openalex.org/W1979051137","https://openalex.org/W1990830194","https://openalex.org/W2004202105","https://openalex.org/W2012736024","https://openalex.org/W2023076762","https://openalex.org/W2056992506","https://openalex.org/W2058860728","https://openalex.org/W2075871523","https://openalex.org/W2076638775","https://openalex.org/W2092861539","https://openalex.org/W2095347830","https://openalex.org/W2161397260","https://openalex.org/W2165213426","https://openalex.org/W2210337553","https://openalex.org/W2306943945","https://openalex.org/W2330435743","https://openalex.org/W2343318563","https://openalex.org/W2488956545","https://openalex.org/W2528114568","https://openalex.org/W2529256799","https://openalex.org/W2530170785","https://openalex.org/W2577538125","https://openalex.org/W2579232153","https://openalex.org/W2596859819","https://openalex.org/W2604827517","https://openalex.org/W2605610493","https://openalex.org/W2730534765","https://openalex.org/W2767563574","https://openalex.org/W2783681521"],"related_works":["https://openalex.org/W52595378","https://openalex.org/W2511818827","https://openalex.org/W2157347895","https://openalex.org/W2156757264","https://openalex.org/W1780388054","https://openalex.org/W3048266432","https://openalex.org/W2272010806","https://openalex.org/W2095766034","https://openalex.org/W2429002706","https://openalex.org/W2981088255"],"abstract_inverted_index":{"The":[0,16,28],"problem":[1],"of":[2,11,38,57],"Mittag\u2013Leffler":[3],"stabilization":[4],"(MLS)":[5],"is":[6,18,31],"studied":[7],"for":[8],"a":[9],"class":[10],"nonlinear":[12,40],"non-integer":[13],"order":[14],"systems.":[15],"stabilizer":[17],"constructed":[19],"by":[20],"using":[21],"the":[22,36,39,46,55,58],"Lyapunov":[23],"function":[24],"and":[25],"backstepping":[26],"algorithm.":[27],"continuous":[29],"controller":[30],"designed":[32],"to":[33,45,53],"ensure":[34],"that":[35],"state":[37],"fractional-order":[41],"closed-loop":[42],"system":[43],"converges":[44],"equilibrium.":[47],"Two":[48],"simulation":[49],"examples":[50],"are":[51],"given":[52],"illustrate":[54],"effectiveness":[56],"method.":[59]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}
