{"id":"https://openalex.org/W2981309389","doi":"https://doi.org/10.1155/2019/6235190","title":"Convergence Time Calculation for Supertwisting Algorithm and Application for Nonaffine Nonlinear Systems","display_name":"Convergence Time Calculation for Supertwisting Algorithm and Application for Nonaffine Nonlinear Systems","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2981309389","doi":"https://doi.org/10.1155/2019/6235190","mag":"2981309389"},"language":"en","primary_location":{"id":"doi:10.1155/2019/6235190","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/6235190","pdf_url":"https://downloads.hindawi.com/journals/complexity/2019/6235190.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/complexity/2019/6235190.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5084388380","display_name":"Jianhua Zhang","orcid":"https://orcid.org/0000-0002-6561-5917"},"institutions":[{"id":"https://openalex.org/I34155123","display_name":"Hebei University of Science and Technology","ror":"https://ror.org/05h3pkk68","country_code":"CN","type":"education","lineage":["https://openalex.org/I34155123"]},{"id":"https://openalex.org/I4210164386","display_name":"Hebei Science and Technology Department","ror":"https://ror.org/05k812a28","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210164386"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jianhua Zhang","raw_affiliation_strings":["Hebei Provincial Research Center for Technologies in Process Engineering Automation, Shijiazhuang, Hebei 050018, China","Hebei University of Science and Technology, Shijiazhuang, Hebei 050018, China","Hebei Provincial Research Center for Technologies in Process Engineering Automation, Shijiazhuang, Hebei 050018","Hebei University of Science and Technology, Shijiazhuang, Hebei 050018"],"affiliations":[{"raw_affiliation_string":"Hebei Provincial Research Center for Technologies in Process Engineering Automation, Shijiazhuang, Hebei 050018, China","institution_ids":["https://openalex.org/I4210164386"]},{"raw_affiliation_string":"Hebei University of Science and Technology, Shijiazhuang, Hebei 050018, China","institution_ids":["https://openalex.org/I34155123"]},{"raw_affiliation_string":"Hebei Provincial Research Center for Technologies in Process Engineering Automation, Shijiazhuang, Hebei 050018","institution_ids":[]},{"raw_affiliation_string":"Hebei University of Science and Technology, Shijiazhuang, Hebei 050018","institution_ids":["https://openalex.org/I34155123"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042073790","display_name":"Quanmin Zhu","orcid":"https://orcid.org/0000-0001-8173-1179"},"institutions":[{"id":"https://openalex.org/I178535277","display_name":"University of the West of England","ror":"https://ror.org/02nwg5t34","country_code":"GB","type":"education","lineage":["https://openalex.org/I178535277"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Quanmin Zhu","raw_affiliation_strings":["Department of Engineering Design and Mathematics, University of the West of England, Coldharbour Lane, Bristol BS16 1QY, UK","Department of Engineering Design and Mathematics, University of the West of England, Coldharbour Lane, Bristol BS16 1QY"],"affiliations":[{"raw_affiliation_string":"Department of Engineering Design and Mathematics, University of the West of England, Coldharbour Lane, Bristol BS16 1QY, UK","institution_ids":["https://openalex.org/I178535277"]},{"raw_affiliation_string":"Department of Engineering Design and Mathematics, University of the West of England, Coldharbour Lane, Bristol BS16 1QY","institution_ids":["https://openalex.org/I178535277"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100767888","display_name":"Yang Li","orcid":"https://orcid.org/0000-0001-6400-9184"},"institutions":[{"id":"https://openalex.org/I34155123","display_name":"Hebei University of Science and Technology","ror":"https://ror.org/05h3pkk68","country_code":"CN","type":"education","lineage":["https://openalex.org/I34155123"]},{"id":"https://openalex.org/I4210164386","display_name":"Hebei Science and Technology Department","ror":"https://ror.org/05k812a28","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210164386"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yang Li","raw_affiliation_strings":["Hebei Provincial Research Center for Technologies in Process Engineering Automation, Shijiazhuang, Hebei 050018, China","Hebei University of Science and Technology, Shijiazhuang, Hebei 050018, China","Hebei Provincial Research Center for Technologies in Process Engineering Automation, Shijiazhuang, Hebei 050018","Hebei University of Science and Technology, Shijiazhuang, Hebei 050018"],"affiliations":[{"raw_affiliation_string":"Hebei Provincial Research Center for Technologies in Process Engineering Automation, Shijiazhuang, Hebei 050018, China","institution_ids":["https://openalex.org/I4210164386"]},{"raw_affiliation_string":"Hebei University of Science and Technology, Shijiazhuang, Hebei 050018, China","institution_ids":["https://openalex.org/I34155123"]},{"raw_affiliation_string":"Hebei Provincial Research Center for Technologies in Process Engineering Automation, Shijiazhuang, Hebei 050018","institution_ids":[]},{"raw_affiliation_string":"Hebei University of Science and Technology, Shijiazhuang, Hebei 050018","institution_ids":["https://openalex.org/I34155123"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5084388380"],"corresponding_institution_ids":["https://openalex.org/I34155123","https://openalex.org/I4210164386"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":1.0108,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.77436448,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"2019","issue":"1","first_page":null,"last_page":null},"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/T11081","display_name":"Advanced Control Systems Design","score":0.9976000189781189,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9944000244140625,"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/convergence","display_name":"Convergence (economics)","score":0.7450892925262451},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6864950656890869},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6545758843421936},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5392739772796631},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3677065372467041},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15432247519493103},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05466508865356445}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.7450892925262451},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6864950656890869},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6545758843421936},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5392739772796631},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3677065372467041},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15432247519493103},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05466508865356445},{"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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2019/6235190","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/6235190","pdf_url":"https://downloads.hindawi.com/journals/complexity/2019/6235190.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:complx:6235190","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/8503/2019/6235190.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:4061d762162c43afb257bb79a0269eba","is_oa":true,"landing_page_url":"https://doaj.org/article/4061d762162c43afb257bb79a0269eba","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complexity, Vol 2019 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2019/6235190","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/6235190","pdf_url":"https://downloads.hindawi.com/journals/complexity/2019/6235190.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.7599999904632568}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2981309389.pdf","grobid_xml":"https://content.openalex.org/works/W2981309389.grobid-xml"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W1979015419","https://openalex.org/W1997801860","https://openalex.org/W2001793560","https://openalex.org/W2018851823","https://openalex.org/W2031945217","https://openalex.org/W2042547807","https://openalex.org/W2090028111","https://openalex.org/W2090382790","https://openalex.org/W2091198516","https://openalex.org/W2112930188","https://openalex.org/W2146097309","https://openalex.org/W2164812525","https://openalex.org/W2177697177","https://openalex.org/W2239833604","https://openalex.org/W2242717783","https://openalex.org/W2281044522","https://openalex.org/W2306110109","https://openalex.org/W2318855838","https://openalex.org/W2742757051","https://openalex.org/W2762093212","https://openalex.org/W2793407447","https://openalex.org/W2801870674","https://openalex.org/W2883043945","https://openalex.org/W2908542426","https://openalex.org/W2945331732","https://openalex.org/W2962264713","https://openalex.org/W2964101593","https://openalex.org/W2968196960","https://openalex.org/W2969895413","https://openalex.org/W2977984211","https://openalex.org/W4234398551","https://openalex.org/W4255127696","https://openalex.org/W4255732627"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109"],"abstract_inverted_index":{"In":[0],"this":[1],"study,":[2],"an":[3],"accurate":[4],"convergence":[5,26,48],"time":[6,27,49],"of":[7,28,37,42,53,55,59,65,87,108],"the":[8,29,35,56,60,85,88,92,104,109],"supertwisting":[9,71],"algorithm":[10],"(STA)":[11],"is":[12,31,50],"proposed":[13],"to":[14,91,102],"build":[15],"up":[16],"a":[17,38,75],"framework":[18],"for":[19],"nonaffine":[20,68],"nonlinear":[21,69],"systems\u2019":[22],"finite\u2010time":[23],"control.":[24],"The":[25],"STA":[30],"provided":[32],"by":[33],"calculating":[34],"solution":[36,77],"differential":[39],"equation":[40],"instead":[41,52],"constructing":[43],"Lyapunov":[44],"function.":[45],"Therefore,":[46],"precise":[47],"presented":[51],"estimation":[54],"upper":[57],"bound":[58],"algorithm\u2019s":[61],"reaching":[62],"time.":[63,97],"Regardless":[64],"affine":[66],"or":[67],"systems,":[70],"control":[72,81],"(STC)":[73],"provides":[74],"general":[76],"based":[78],"on":[79],"virtual":[80],"law":[82],"skill":[83],"ensuring":[84],"output":[86],"systems":[89],"converges":[90],"origin":[93],"point":[94],"at":[95],"exact":[96],"Benchmark":[98],"tests":[99],"are":[100],"simulated":[101],"demonstrate":[103],"effectiveness":[105],"and":[106],"efficiency":[107],"algorithm.":[110]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":4}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}