{"id":"https://openalex.org/W2745850496","doi":"https://doi.org/10.1155/2017/9562818","title":"Synchronization of Two Fractional-Order Chaotic Systems via Nonsingular Terminal Fuzzy Sliding Mode Control","display_name":"Synchronization of Two Fractional-Order Chaotic Systems via Nonsingular Terminal Fuzzy Sliding Mode Control","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2745850496","doi":"https://doi.org/10.1155/2017/9562818","mag":"2745850496"},"language":"en","primary_location":{"id":"doi:10.1155/2017/9562818","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2017/9562818","pdf_url":"http://downloads.hindawi.com/journals/jcse/2017/9562818.pdf","source":{"id":"https://openalex.org/S11704996","display_name":"Journal of Control Science and Engineering","issn_l":"1687-5249","issn":["1687-5249","1687-5257"],"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":"Journal of Control Science and Engineering","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"http://downloads.hindawi.com/journals/jcse/2017/9562818.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5047206327","display_name":"Xiaona Song","orcid":"https://orcid.org/0000-0001-8476-5112"},"institutions":[{"id":"https://openalex.org/I167383011","display_name":"Henan University of Science and Technology","ror":"https://ror.org/05d80kz58","country_code":"CN","type":"education","lineage":["https://openalex.org/I167383011"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiaona Song","raw_affiliation_strings":["School of Information Engineering, Henan University of Science and Technology, Luoyang 471023, China"],"raw_orcid":"https://orcid.org/0000-0001-8476-5112","affiliations":[{"raw_affiliation_string":"School of Information Engineering, Henan University of Science and Technology, Luoyang 471023, China","institution_ids":["https://openalex.org/I167383011"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045694733","display_name":"Shuai Song","orcid":"https://orcid.org/0000-0002-4780-0967"},"institutions":[{"id":"https://openalex.org/I167383011","display_name":"Henan University of Science and Technology","ror":"https://ror.org/05d80kz58","country_code":"CN","type":"education","lineage":["https://openalex.org/I167383011"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shuai Song","raw_affiliation_strings":["School of Information Engineering, Henan University of Science and Technology, Luoyang 471023, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Engineering, Henan University of Science and Technology, Luoyang 471023, China","institution_ids":["https://openalex.org/I167383011"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Ines Tejado Balsera","orcid":"https://orcid.org/0000-0001-5542-348X"},"institutions":[{"id":"https://openalex.org/I80606768","display_name":"Universidad de Extremadura","ror":"https://ror.org/0174shg90","country_code":"ES","type":"education","lineage":["https://openalex.org/I80606768"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Ines Tejado Balsera","raw_affiliation_strings":["Industrial Engineering School, University of Extremadura, Badajoz, Spain"],"raw_orcid":"https://orcid.org/0000-0001-5542-348X","affiliations":[{"raw_affiliation_string":"Industrial Engineering School, University of Extremadura, Badajoz, Spain","institution_ids":["https://openalex.org/I80606768"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057379539","display_name":"Leipo Liu","orcid":"https://orcid.org/0000-0001-7593-7576"},"institutions":[{"id":"https://openalex.org/I167383011","display_name":"Henan University of Science and Technology","ror":"https://ror.org/05d80kz58","country_code":"CN","type":"education","lineage":["https://openalex.org/I167383011"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Leipo Liu","raw_affiliation_strings":["School of Information Engineering, Henan University of Science and Technology, Luoyang 471023, China"],"raw_orcid":"https://orcid.org/0000-0001-7593-7576","affiliations":[{"raw_affiliation_string":"School of Information Engineering, Henan University of Science and Technology, Luoyang 471023, China","institution_ids":["https://openalex.org/I167383011"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100433798","display_name":"Lei Zhang","orcid":"https://orcid.org/0000-0001-5427-6561"},"institutions":[{"id":"https://openalex.org/I167383011","display_name":"Henan University of Science and Technology","ror":"https://ror.org/05d80kz58","country_code":"CN","type":"education","lineage":["https://openalex.org/I167383011"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lei Zhang","raw_affiliation_strings":["School of Electrical Engineering, Henan University of Science and Technology, Luoyang 471023, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Henan University of Science and Technology, Luoyang 471023, China","institution_ids":["https://openalex.org/I167383011"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5047206327"],"corresponding_institution_ids":["https://openalex.org/I167383011"],"apc_list":{"value":1400,"currency":"USD","value_usd":1400},"apc_paid":{"value":1400,"currency":"USD","value_usd":1400},"fwci":0.8677,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.73016696,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"2017","issue":null,"first_page":"1","last_page":"11"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9998000264167786,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.996999979019165,"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/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9930999875068665,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"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":0.7963617444038391},{"id":"https://openalex.org/keywords/lyapunov-stability","display_name":"Lyapunov stability","score":0.633887767791748},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.6214098930358887},{"id":"https://openalex.org/keywords/invertible-matrix","display_name":"Invertible matrix","score":0.6106181144714355},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5863574743270874},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5563303828239441},{"id":"https://openalex.org/keywords/sliding-mode-control","display_name":"Sliding mode control","score":0.5355579257011414},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.5326962471008301},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5287252068519592},{"id":"https://openalex.org/keywords/terminal-sliding-mode","display_name":"Terminal sliding mode","score":0.4527856707572937},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4154321253299713},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3486529588699341},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.14076697826385498},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.12519976496696472},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.11325007677078247},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08718061447143555},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06989413499832153},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.05145770311355591}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7963617444038391},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.633887767791748},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.6214098930358887},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.6106181144714355},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5863574743270874},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5563303828239441},{"id":"https://openalex.org/C36662352","wikidata":"https://www.wikidata.org/wiki/Q6008560","display_name":"Sliding mode control","level":3,"score":0.5355579257011414},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.5326962471008301},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5287252068519592},{"id":"https://openalex.org/C2777539142","wikidata":"https://www.wikidata.org/wiki/Q7702746","display_name":"Terminal sliding mode","level":4,"score":0.4527856707572937},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4154321253299713},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3486529588699341},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.14076697826385498},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.12519976496696472},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.11325007677078247},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08718061447143555},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06989413499832153},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.05145770311355591},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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},{"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/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2017/9562818","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2017/9562818","pdf_url":"http://downloads.hindawi.com/journals/jcse/2017/9562818.pdf","source":{"id":"https://openalex.org/S11704996","display_name":"Journal of Control Science and Engineering","issn_l":"1687-5249","issn":["1687-5249","1687-5257"],"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":"Journal of Control Science and Engineering","raw_type":"journal-article"},{"id":"pmh:oai:dnet:dehesa______::6a9cfcec9e5b7885f7dd279a13813aab","is_oa":true,"landing_page_url":"http://hdl.handle.net/10662/8697","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doaj.org/article:bb1676cf2cf14f99b2eca2fc52c5bb20","is_oa":true,"landing_page_url":"https://doaj.org/article/bb1676cf2cf14f99b2eca2fc52c5bb20","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Control Science and Engineering, Vol 2017 (2017)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2017/9562818","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2017/9562818","pdf_url":"http://downloads.hindawi.com/journals/jcse/2017/9562818.pdf","source":{"id":"https://openalex.org/S11704996","display_name":"Journal of Control Science and Engineering","issn_l":"1687-5249","issn":["1687-5249","1687-5257"],"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":"Journal of Control Science and Engineering","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.7900000214576721,"display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G4107020262","display_name":null,"funder_award_id":"18HASTIT019","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4529952107","display_name":null,"funder_award_id":"U1404610","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G545915312","display_name":null,"funder_award_id":"U1604146","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6896570429","display_name":null,"funder_award_id":"61203047","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7031575876","display_name":null,"funder_award_id":"162102410024","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G78093965","display_name":null,"funder_award_id":"152102210273","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7847402494","display_name":null,"funder_award_id":"61473115","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":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2745850496.pdf","grobid_xml":"https://content.openalex.org/works/W2745850496.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W55790716","https://openalex.org/W171286733","https://openalex.org/W1516289514","https://openalex.org/W1965585748","https://openalex.org/W1990597299","https://openalex.org/W1992342939","https://openalex.org/W1994119138","https://openalex.org/W2001811588","https://openalex.org/W2007952299","https://openalex.org/W2011289750","https://openalex.org/W2014052538","https://openalex.org/W2015374326","https://openalex.org/W2015687261","https://openalex.org/W2020938579","https://openalex.org/W2022346551","https://openalex.org/W2025262438","https://openalex.org/W2027570507","https://openalex.org/W2038505038","https://openalex.org/W2056856365","https://openalex.org/W2069538852","https://openalex.org/W2070905385","https://openalex.org/W2071394541","https://openalex.org/W2072456901","https://openalex.org/W2074265523","https://openalex.org/W2079300026","https://openalex.org/W2084213262","https://openalex.org/W2094553502","https://openalex.org/W2097134382","https://openalex.org/W2109180319","https://openalex.org/W2120085515","https://openalex.org/W2153938810","https://openalex.org/W2192965598","https://openalex.org/W2198444100","https://openalex.org/W3151438110","https://openalex.org/W4253062931"],"related_works":["https://openalex.org/W2546947761","https://openalex.org/W2356356101","https://openalex.org/W2131481667","https://openalex.org/W2109651492","https://openalex.org/W2380965978","https://openalex.org/W2016095328","https://openalex.org/W4214925198","https://openalex.org/W1995636945","https://openalex.org/W2404840993","https://openalex.org/W2088371781"],"abstract_inverted_index":{"The":[0,13,149],"synchronization":[1,27,155],"of":[2,28,66,88,143,156,172],"two":[3,157],"fractional-order":[4,43,54,158,175],"complex":[5],"chaotic":[6,31,160],"systems":[7,32,55,161],"is":[8,33,49,56,59,114,147,152],"discussed":[9],"in":[10,21,86],"this":[11],"paper.":[12],"parameter":[14],"uncertainty":[15],"and":[16,25,99,165],"external":[17,166],"disturbance":[18],"are":[19],"included":[20],"the":[22,26,29,37,52,63,67,70,78,89,96,100,119,127,136,141,144,170,173],"system":[23,68,123],"model,":[24],"considered":[30,53],"implemented":[34,153],"based":[35],"on":[36],"finite-time":[38],"concept.":[39],"First,":[40],"a":[41,81,105,131],"novel":[42,106],"nonsingular":[44,91,176],"terminal":[45,92,177],"sliding":[46,72,93,101,110,128,179],"surface":[47,73,129],"which":[48,116],"suitable":[50],"for":[51,154],"proposed.":[57],"It":[58],"proven":[60],"that":[61],"once":[62],"state":[64],"trajectories":[65,124],"reach":[69,126],"proposed":[71,145,150,174],"they":[74],"will":[75],"converge":[76],"to":[77,125,168],"origin":[79],"within":[80],"given":[82],"finite":[83,132],"time.":[84,133],"Second,":[85],"terms":[87],"established":[90],"surface,":[94],"combining":[95],"fuzzy":[97,109,178],"control":[98,103,112],"mode":[102,111,180],"schemes,":[104],"robust":[107],"single":[108],"law":[113],"introduced,":[115],"can":[117],"force":[118],"closed-loop":[120],"dynamic":[121],"error":[122],"over":[130],"Finally,":[134],"using":[135],"fractional":[137],"Lyapunov":[138],"stability":[139,142],"theorem,":[140],"method":[146,151],"proven.":[148],"Genesio-Tesi":[159],"with":[162],"uncertain":[163],"parameters":[164],"disturbances":[167],"verify":[169],"effectiveness":[171],"controller.":[181]},"counts_by_year":[{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}