{"id":"https://openalex.org/W2296240743","doi":"https://doi.org/10.1155/2013/321253","title":"Robust Synchronization of Incommensurate Fractional-Order Chaotic Systems via Second-Order Sliding Mode Technique","display_name":"Robust Synchronization of Incommensurate Fractional-Order Chaotic Systems via Second-Order Sliding Mode Technique","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2296240743","doi":"https://doi.org/10.1155/2013/321253","mag":"2296240743"},"language":"en","primary_location":{"id":"doi:10.1155/2013/321253","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/321253","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/321253.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"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 Applied Mathematics","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/jam/2013/321253.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5006227822","display_name":"Hua Chen","orcid":"https://orcid.org/0000-0002-4737-6780"},"institutions":[{"id":"https://openalex.org/I163340411","display_name":"Hohai University","ror":"https://ror.org/01wd4xt90","country_code":"CN","type":"education","lineage":["https://openalex.org/I163340411"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hua Chen","raw_affiliation_strings":["Mathematics and Physics Department, Hohai University, Changzhou Campus, Changzhou 213022, China"],"affiliations":[{"raw_affiliation_string":"Mathematics and Physics Department, Hohai University, Changzhou Campus, Changzhou 213022, China","institution_ids":["https://openalex.org/I163340411"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100344143","display_name":"Wen Chen","orcid":"https://orcid.org/0000-0001-5678-4949"},"institutions":[{"id":"https://openalex.org/I163340411","display_name":"Hohai University","ror":"https://ror.org/01wd4xt90","country_code":"CN","type":"education","lineage":["https://openalex.org/I163340411"]},{"id":"https://openalex.org/I4210099662","display_name":"State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering","ror":"https://ror.org/012wsxz85","country_code":"CN","type":"facility","lineage":["https://openalex.org/I163340411","https://openalex.org/I4210099662","https://openalex.org/I4210111986","https://openalex.org/I4210120069","https://openalex.org/I4210127390"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wen Chen","raw_affiliation_strings":["College of Mechanics and Materials, Hohai University, Nanjing 210098, China","State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, Nanjing 210098, China"],"affiliations":[{"raw_affiliation_string":"College of Mechanics and Materials, Hohai University, Nanjing 210098, China","institution_ids":["https://openalex.org/I163340411"]},{"raw_affiliation_string":"State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, Nanjing 210098, China","institution_ids":["https://openalex.org/I4210099662","https://openalex.org/I163340411"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030694645","display_name":"Binwu Zhang","orcid":"https://orcid.org/0000-0002-9936-3172"},"institutions":[{"id":"https://openalex.org/I163340411","display_name":"Hohai University","ror":"https://ror.org/01wd4xt90","country_code":"CN","type":"education","lineage":["https://openalex.org/I163340411"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Binwu Zhang","raw_affiliation_strings":["Mathematics and Physics Department, Hohai University, Changzhou Campus, Changzhou 213022, China"],"affiliations":[{"raw_affiliation_string":"Mathematics and Physics Department, Hohai University, Changzhou Campus, Changzhou 213022, China","institution_ids":["https://openalex.org/I163340411"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102930168","display_name":"Haitao Cao","orcid":"https://orcid.org/0000-0002-1913-4514"},"institutions":[{"id":"https://openalex.org/I163340411","display_name":"Hohai University","ror":"https://ror.org/01wd4xt90","country_code":"CN","type":"education","lineage":["https://openalex.org/I163340411"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haitao Cao","raw_affiliation_strings":["Mathematics and Physics Department, Hohai University, Changzhou Campus, Changzhou 213022, China"],"affiliations":[{"raw_affiliation_string":"Mathematics and Physics Department, Hohai University, Changzhou Campus, Changzhou 213022, China","institution_ids":["https://openalex.org/I163340411"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5006227822"],"corresponding_institution_ids":["https://openalex.org/I163340411"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":1.9936,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.87304925,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"2013","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":0.9998999834060669,"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":0.9998999834060669,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.996399998664856,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7910518646240234},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.7520220279693604},{"id":"https://openalex.org/keywords/lyapunov-stability","display_name":"Lyapunov stability","score":0.6797592043876648},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.6123234629631042},{"id":"https://openalex.org/keywords/stability-theory","display_name":"Stability theory","score":0.5983149409294128},{"id":"https://openalex.org/keywords/chaotic-systems","display_name":"Chaotic systems","score":0.5708571076393127},{"id":"https://openalex.org/keywords/mode","display_name":"Mode (computer interface)","score":0.562150239944458},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5502431988716125},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5360643267631531},{"id":"https://openalex.org/keywords/sliding-mode-control","display_name":"Sliding mode control","score":0.5126373171806335},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.5042651891708374},{"id":"https://openalex.org/keywords/synchronization-of-chaos","display_name":"Synchronization of chaos","score":0.4839951992034912},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4622717797756195},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45013630390167236},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43422627449035645},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3312942683696747},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.15067094564437866},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.12839862704277039},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10072764754295349}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7910518646240234},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.7520220279693604},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.6797592043876648},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.6123234629631042},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.5983149409294128},{"id":"https://openalex.org/C2987469083","wikidata":"https://www.wikidata.org/wiki/Q166314","display_name":"Chaotic systems","level":3,"score":0.5708571076393127},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.562150239944458},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5502431988716125},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5360643267631531},{"id":"https://openalex.org/C36662352","wikidata":"https://www.wikidata.org/wiki/Q6008560","display_name":"Sliding mode control","level":3,"score":0.5126373171806335},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.5042651891708374},{"id":"https://openalex.org/C202759130","wikidata":"https://www.wikidata.org/wiki/Q7662148","display_name":"Synchronization of chaos","level":4,"score":0.4839951992034912},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4622717797756195},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45013630390167236},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43422627449035645},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3312942683696747},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.15067094564437866},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.12839862704277039},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10072764754295349},{"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},{"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2013/321253","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/321253","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/321253.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"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 Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1394808060","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1394808060","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:321253","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2013/321253.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:c14bdd498c4b4e06a56838a9593f434a","is_oa":true,"landing_page_url":"https://doaj.org/article/c14bdd498c4b4e06a56838a9593f434a","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":"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 Applied Mathematics, Vol 2013 (2013)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2013/321253","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/321253","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/321253.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"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 Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1121271761","display_name":null,"funder_award_id":"Program","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1474490597","display_name":null,"funder_award_id":"111 Project","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1732542303","display_name":null,"funder_award_id":"2010CB832702","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G2051550100","display_name":null,"funder_award_id":"201101014","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G2082826544","display_name":null,"funder_award_id":"Postdoctoral","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2101807311","display_name":null,"funder_award_id":"2013B10114","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2376276132","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G2802911279","display_name":null,"funder_award_id":"Young","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2926686113","display_name":null,"funder_award_id":"2013M531263","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G3181530023","display_name":null,"funder_award_id":"B12032","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3602474958","display_name":null,"funder_award_id":"11202066","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3705373405","display_name":null,"funder_award_id":"B12032","funder_id":"https://openalex.org/F4320327912","funder_display_name":"Higher Education Discipline Innovation Project"},{"id":"https://openalex.org/G3743808441","display_name":null,"funder_award_id":"B12032","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G3779486704","display_name":null,"funder_award_id":"2013M531263","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G3891645111","display_name":null,"funder_award_id":"973 Project","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G391238517","display_name":null,"funder_award_id":", and","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4020255992","display_name":null,"funder_award_id":"Project","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5354171512","display_name":null,"funder_award_id":"201101014","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5606285920","display_name":null,"funder_award_id":"201101014","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G5681445794","display_name":null,"funder_award_id":"1202066","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5769143480","display_name":null,"funder_award_id":"2013B10114","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G71966358","display_name":null,"funder_award_id":"2013M531263","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7317209715","display_name":null,"funder_award_id":"2010CB832702","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G758251584","display_name":null,"funder_award_id":"1101014","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G7830370430","display_name":null,"funder_award_id":"11125208","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G8227216868","display_name":null,"funder_award_id":"B12032","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8681231499","display_name":null,"funder_award_id":"11125208","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8744364856","display_name":null,"funder_award_id":"110101","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8761737012","display_name":null,"funder_award_id":"11125208","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G902077","display_name":null,"funder_award_id":"2010CB832702","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/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"},{"id":"https://openalex.org/F4320327912","display_name":"Higher Education Discipline Innovation Project","ror":null},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2296240743.pdf","grobid_xml":"https://content.openalex.org/works/W2296240743.grobid-xml"},"referenced_works_count":48,"referenced_works":["https://openalex.org/W45047736","https://openalex.org/W187679580","https://openalex.org/W582526786","https://openalex.org/W1500363884","https://openalex.org/W1509146820","https://openalex.org/W1969313263","https://openalex.org/W1970188951","https://openalex.org/W1970416408","https://openalex.org/W1972063701","https://openalex.org/W1973959644","https://openalex.org/W1976470670","https://openalex.org/W1984204358","https://openalex.org/W1988837728","https://openalex.org/W2001297611","https://openalex.org/W2001514844","https://openalex.org/W2001793560","https://openalex.org/W2010455549","https://openalex.org/W2011289750","https://openalex.org/W2012883538","https://openalex.org/W2014270903","https://openalex.org/W2014802975","https://openalex.org/W2015687261","https://openalex.org/W2019092498","https://openalex.org/W2029253889","https://openalex.org/W2031710780","https://openalex.org/W2031753087","https://openalex.org/W2037545544","https://openalex.org/W2041021481","https://openalex.org/W2041887853","https://openalex.org/W2042865640","https://openalex.org/W2051063808","https://openalex.org/W2051622094","https://openalex.org/W2064221394","https://openalex.org/W2065126584","https://openalex.org/W2066696354","https://openalex.org/W2070905385","https://openalex.org/W2072456901","https://openalex.org/W2076749418","https://openalex.org/W2094799761","https://openalex.org/W2117220239","https://openalex.org/W2118244855","https://openalex.org/W2154892481","https://openalex.org/W2158629510","https://openalex.org/W2186594928","https://openalex.org/W2265294474","https://openalex.org/W2563369907","https://openalex.org/W2787959293","https://openalex.org/W4253062931"],"related_works":["https://openalex.org/W2069291020","https://openalex.org/W1981944371","https://openalex.org/W2023303993","https://openalex.org/W2016918291","https://openalex.org/W2017826852","https://openalex.org/W2007512498","https://openalex.org/W1988325506","https://openalex.org/W2384606830","https://openalex.org/W2390217026","https://openalex.org/W2384062450"],"abstract_inverted_index":{"A":[0],"second-order":[1],"sliding":[2],"mode":[3],"(SOSM)":[4],"controller":[5,65],"is":[6,43],"proposed":[7,64],"to":[8,58],"synchronize":[9],"a":[10],"class":[11],"of":[12,39,62],"incommensurate":[13],"fractional-order":[14],"chaotic":[15],"systems":[16],"with":[17],"model":[18],"uncertainties":[19],"and":[20],"external":[21],"disturbances.":[22],"Based":[23],"on":[24],"the":[25,37,40,49,60,63],"chattering":[26],"free":[27],"SOSM":[28],"control":[29],"scheme,":[30],"it":[31],"can":[32],"be":[33],"rigorously":[34],"proved":[35],"that":[36],"dynamics":[38],"synchronization":[41],"error":[42],"globally":[44],"asymptotically":[45],"stable":[46],"by":[47],"using":[48],"Lyapunov":[50],"stability":[51],"theorem.":[52],"Finally,":[53],"numerical":[54],"examples":[55],"are":[56],"provided":[57],"illustrate":[59],"effectiveness":[61],"design":[66],"approach.":[67]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}