{"id":"https://openalex.org/W2994162224","doi":"https://doi.org/10.1109/ccta.2019.8920616","title":"PID Control of Hopf Bifurcation of Delayed Small-World Networks with Fractional-Order Dynamics","display_name":"PID Control of Hopf Bifurcation of Delayed Small-World Networks with Fractional-Order Dynamics","publication_year":2019,"publication_date":"2019-08-01","ids":{"openalex":"https://openalex.org/W2994162224","doi":"https://doi.org/10.1109/ccta.2019.8920616","mag":"2994162224"},"language":"en","primary_location":{"id":"doi:10.1109/ccta.2019.8920616","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ccta.2019.8920616","pdf_url":null,"source":{"id":"https://openalex.org/S4306498490","display_name":"2019 IEEE Conference on Control Technology and Applications (CCTA)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE Conference on Control Technology and Applications (CCTA)","raw_type":"proceedings-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/A5054421000","display_name":"Min Xiao","orcid":"https://orcid.org/0000-0002-8992-153X"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"min Xiao","raw_affiliation_strings":["College of Automation, Nanjing University of Posts and Telecommunications, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"College of Automation, Nanjing University of Posts and Telecommunications, Nanjing, China","institution_ids":["https://openalex.org/I41198531"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005981505","display_name":"Binbin Tao","orcid":"https://orcid.org/0000-0002-2132-3648"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Binbin Tao","raw_affiliation_strings":["College of Automation, Nanjing University of Posts and Telecommunications, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"College of Automation, Nanjing University of Posts and Telecommunications, Nanjing, China","institution_ids":["https://openalex.org/I41198531"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108050907","display_name":"Wei Xing Zheng","orcid":"https://orcid.org/0000-0002-0572-5938"},"institutions":[{"id":"https://openalex.org/I63525965","display_name":"Western Sydney University","ror":"https://ror.org/03t52dk35","country_code":"AU","type":"education","lineage":["https://openalex.org/I63525965"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Wei Xing Zheng","raw_affiliation_strings":["School of Computing, Engineering and Mathematics, Western Sydney University, Sydney, Australia"],"affiliations":[{"raw_affiliation_string":"School of Computing, Engineering and Mathematics, Western Sydney University, Sydney, Australia","institution_ids":["https://openalex.org/I63525965"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5054421000"],"corresponding_institution_ids":["https://openalex.org/I41198531"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.18104223,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"29","issue":null,"first_page":"529","last_page":"534"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9988999962806702,"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"}},"topics":[{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9988999962806702,"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/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9961000084877014,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9926000237464905,"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/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.7853918671607971},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7168473601341248},{"id":"https://openalex.org/keywords/pid-controller","display_name":"PID controller","score":0.7136653065681458},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5785098075866699},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.572683572769165},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.535673201084137},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5331878662109375},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4967091679573059},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.34165287017822266},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.26346781849861145},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.16647642850875854},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.129998117685318},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12338930368423462},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09558439254760742},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.07492667436599731},{"id":"https://openalex.org/keywords/temperature-control","display_name":"Temperature control","score":0.07297942042350769}],"concepts":[{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.7853918671607971},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7168473601341248},{"id":"https://openalex.org/C47116090","wikidata":"https://www.wikidata.org/wiki/Q716829","display_name":"PID controller","level":3,"score":0.7136653065681458},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5785098075866699},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.572683572769165},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.535673201084137},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5331878662109375},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4967091679573059},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.34165287017822266},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26346781849861145},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.16647642850875854},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.129998117685318},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12338930368423462},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09558439254760742},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.07492667436599731},{"id":"https://openalex.org/C536315585","wikidata":"https://www.wikidata.org/wiki/Q7698332","display_name":"Temperature control","level":2,"score":0.07297942042350769},{"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/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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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:10.1109/ccta.2019.8920616","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ccta.2019.8920616","pdf_url":null,"source":{"id":"https://openalex.org/S4306498490","display_name":"2019 IEEE Conference on Control Technology and Applications (CCTA)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE Conference on Control Technology and Applications (CCTA)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1625573145","https://openalex.org/W1964888124","https://openalex.org/W1969968212","https://openalex.org/W2032332507","https://openalex.org/W2034898049","https://openalex.org/W2051769831","https://openalex.org/W2078206416","https://openalex.org/W2099469077","https://openalex.org/W2103962869","https://openalex.org/W2104650453","https://openalex.org/W2111025408","https://openalex.org/W2112090702","https://openalex.org/W2117344958","https://openalex.org/W2132394861","https://openalex.org/W2144999608","https://openalex.org/W2163444683","https://openalex.org/W2166393890","https://openalex.org/W2168914013","https://openalex.org/W2172216208","https://openalex.org/W2344164154","https://openalex.org/W2538251064","https://openalex.org/W2591935286","https://openalex.org/W2592101151","https://openalex.org/W2602641764","https://openalex.org/W2603136625","https://openalex.org/W2607269470","https://openalex.org/W2617408255","https://openalex.org/W2697204375","https://openalex.org/W2755876068","https://openalex.org/W2756502661","https://openalex.org/W2769631833","https://openalex.org/W2771641782","https://openalex.org/W2783658719","https://openalex.org/W2787959293","https://openalex.org/W6738122131"],"related_works":["https://openalex.org/W2002388147","https://openalex.org/W3098928304","https://openalex.org/W2394883510","https://openalex.org/W2150958483","https://openalex.org/W2922503265","https://openalex.org/W2023324176","https://openalex.org/W3097920840","https://openalex.org/W2165013373","https://openalex.org/W3212795132","https://openalex.org/W2121097709"],"abstract_inverted_index":{"This":[0],"paper":[1],"investigates":[2],"the":[3,28,45,53,64,68,72,87,91],"problem":[4],"of":[5,9,27,44,71,90],"controlling":[6],"Hopf":[7,29,61],"bifurcation":[8,30,88],"delayed":[10,35],"small-world":[11,36,93],"networks":[12,37],"with":[13,38,95],"fractional-order":[14,18,39,47,73,96],"dynamics.":[15,40,97],"Specifically,":[16],"a":[17,83],"PID":[19,74],"feedback":[20,75],"controller":[21],"is":[22,32,49],"designed":[23],"to":[24,81],"realize":[25],"control":[26,69,76],"that":[31,67],"embedded":[33],"in":[34],"The":[41,98],"characteristic":[42],"equation":[43],"controlled":[46,92],"network":[48,94],"analyzed,":[50],"which":[51],"yields":[52],"useful":[54],"conditions":[55],"for":[56],"stability":[57],"as":[58,60],"well":[59],"bifurcation.":[62],"Moreover,":[63],"analysis":[65],"reveals":[66],"parameters":[70],"scheme":[77],"may":[78],"be":[79],"varied":[80],"have":[82],"significant":[84],"effect":[85],"on":[86],"dynamics":[89],"theoretical":[99],"findings":[100],"are":[101],"also":[102],"confirmed":[103],"through":[104],"computer":[105],"simulations.":[106]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}