{"id":"https://openalex.org/W4312126610","doi":"https://doi.org/10.1007/s11432-021-3418-4","title":"First attempt of barrier functions for Caputo\u2019s fractional-order nonlinear dynamical systems","display_name":"First attempt of barrier functions for Caputo\u2019s fractional-order nonlinear dynamical systems","publication_year":2022,"publication_date":"2022-12-07","ids":{"openalex":"https://openalex.org/W4312126610","doi":"https://doi.org/10.1007/s11432-021-3418-4"},"language":"en","primary_location":{"id":"doi:10.1007/s11432-021-3418-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11432-021-3418-4","pdf_url":null,"source":{"id":"https://openalex.org/S4210218743","display_name":"Science China Information Sciences","issn_l":"1674-733X","issn":["1674-733X","1869-1919"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Science China Information Sciences","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/A5029032310","display_name":"Zheren Zhu","orcid":"https://orcid.org/0000-0002-8378-5063"},"institutions":[{"id":"https://openalex.org/I4391767838","display_name":"State Key Laboratory of Industrial Control Technology","ror":"https://ror.org/03a33a786","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4391767838","https://openalex.org/I76130692"]},{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zheren Zhu","raw_affiliation_strings":["College of Control Science and Engineering, Zhejiang University, Hangzhou, 310027, China","State Key Laboratory of Industrial Control Technology, Hangzhou, 310027, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Control Science and Engineering, Zhejiang University, Hangzhou, 310027, China","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"State Key Laboratory of Industrial Control Technology, Hangzhou, 310027, China","institution_ids":["https://openalex.org/I4391767838"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074938880","display_name":"Pengfei Huang","orcid":"https://orcid.org/0000-0003-0785-1759"},"institutions":[{"id":"https://openalex.org/I158842170","display_name":"Chongqing University","ror":"https://ror.org/023rhb549","country_code":"CN","type":"education","lineage":["https://openalex.org/I158842170"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Pengfei Huang","raw_affiliation_strings":["Key Laboratory of Complex System Safety and Control (Chongqing University), Ministry of Education, Chongqing, 400044, China","School of Automation, Chongqing University, Chongqing, 400044, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Complex System Safety and Control (Chongqing University), Ministry of Education, Chongqing, 400044, China","institution_ids":["https://openalex.org/I158842170"]},{"raw_affiliation_string":"School of Automation, Chongqing University, Chongqing, 400044, China","institution_ids":["https://openalex.org/I158842170"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100654679","display_name":"Xinmin Zhang","orcid":"https://orcid.org/0000-0002-4761-3969"},"institutions":[{"id":"https://openalex.org/I4391767838","display_name":"State Key Laboratory of Industrial Control Technology","ror":"https://ror.org/03a33a786","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4391767838","https://openalex.org/I76130692"]},{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinmin Zhang","raw_affiliation_strings":["College of Control Science and Engineering, Zhejiang University, Hangzhou, 310027, China","State Key Laboratory of Industrial Control Technology, Hangzhou, 310027, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Control Science and Engineering, Zhejiang University, Hangzhou, 310027, China","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"State Key Laboratory of Industrial Control Technology, Hangzhou, 310027, China","institution_ids":["https://openalex.org/I4391767838"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052594325","display_name":"Yi Chai","orcid":"https://orcid.org/0000-0002-2717-5981"},"institutions":[{"id":"https://openalex.org/I158842170","display_name":"Chongqing University","ror":"https://ror.org/023rhb549","country_code":"CN","type":"education","lineage":["https://openalex.org/I158842170"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yi Chai","raw_affiliation_strings":["Key Laboratory of Complex System Safety and Control (Chongqing University), Ministry of Education, Chongqing, 400044, China","School of Automation, Chongqing University, Chongqing, 400044, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Complex System Safety and Control (Chongqing University), Ministry of Education, Chongqing, 400044, China","institution_ids":["https://openalex.org/I158842170"]},{"raw_affiliation_string":"School of Automation, Chongqing University, Chongqing, 400044, China","institution_ids":["https://openalex.org/I158842170"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048733958","display_name":"Zhihuan Song","orcid":"https://orcid.org/0000-0003-4098-6479"},"institutions":[{"id":"https://openalex.org/I4391767838","display_name":"State Key Laboratory of Industrial Control Technology","ror":"https://ror.org/03a33a786","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4391767838","https://openalex.org/I76130692"]},{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhihuan Song","raw_affiliation_strings":["College of Control Science and Engineering, Zhejiang University, Hangzhou, 310027, China","State Key Laboratory of Industrial Control Technology, Hangzhou, 310027, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Control Science and Engineering, Zhejiang University, Hangzhou, 310027, China","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"State Key Laboratory of Industrial Control Technology, Hangzhou, 310027, China","institution_ids":["https://openalex.org/I4391767838"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5048733958","https://openalex.org/A5052594325"],"corresponding_institution_ids":["https://openalex.org/I158842170","https://openalex.org/I4391767838","https://openalex.org/I76130692"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.1963,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.4519352,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"66","issue":"7","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":0.9983999729156494,"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":0.9983999729156494,"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/T14083","display_name":"Extremum Seeking Control Systems","score":0.9980999827384949,"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":0.9979000091552734,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6664149761199951},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5558807253837585},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.47851264476776123},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41971415281295776},{"id":"https://openalex.org/keywords/nonlinear-dynamical-systems","display_name":"Nonlinear dynamical systems","score":0.41344916820526123},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.38722747564315796},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3766195774078369},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3697572350502014},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.349277138710022},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3373785614967346},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.09192872047424316},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.05130338668823242}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6664149761199951},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5558807253837585},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.47851264476776123},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41971415281295776},{"id":"https://openalex.org/C2983030100","wikidata":"https://www.wikidata.org/wiki/Q638328","display_name":"Nonlinear dynamical systems","level":3,"score":0.41344916820526123},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.38722747564315796},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3766195774078369},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3697572350502014},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.349277138710022},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3373785614967346},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.09192872047424316},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.05130338668823242},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11432-021-3418-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11432-021-3418-4","pdf_url":null,"source":{"id":"https://openalex.org/S4210218743","display_name":"Science China Information Sciences","issn_l":"1674-733X","issn":["1674-733X","1869-1919"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Science China Information Sciences","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1977447091","https://openalex.org/W1980569135","https://openalex.org/W2031553914","https://openalex.org/W2077367989","https://openalex.org/W2560504659","https://openalex.org/W3024124665","https://openalex.org/W4292249799","https://openalex.org/W4304163049"],"related_works":["https://openalex.org/W1537973975","https://openalex.org/W4312960772","https://openalex.org/W2494428131","https://openalex.org/W1966008566","https://openalex.org/W2079574545","https://openalex.org/W3127651486","https://openalex.org/W4247979471","https://openalex.org/W2921182178","https://openalex.org/W2068281920","https://openalex.org/W2118964038"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}