{"id":"https://openalex.org/W4324290782","doi":"https://doi.org/10.1109/tsmc.2023.3249664","title":"Global Polynomial Synchronization of Proportional Delayed Inertial Neural Networks","display_name":"Global Polynomial Synchronization of Proportional Delayed Inertial Neural Networks","publication_year":2023,"publication_date":"2023-03-14","ids":{"openalex":"https://openalex.org/W4324290782","doi":"https://doi.org/10.1109/tsmc.2023.3249664"},"language":"en","primary_location":{"id":"doi:10.1109/tsmc.2023.3249664","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2023.3249664","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Systems, Man, and Cybernetics: Systems","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/A5050223311","display_name":"Liqun Zhou","orcid":"https://orcid.org/0000-0002-2002-0354"},"institutions":[{"id":"https://openalex.org/I15062923","display_name":"Tianjin Normal University","ror":"https://ror.org/05x2td559","country_code":"CN","type":"education","lineage":["https://openalex.org/I15062923"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liqun Zhou","raw_affiliation_strings":["School of Mathematics Science, Tianjin Normal University, Tianjin, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics Science, Tianjin Normal University, Tianjin, China","institution_ids":["https://openalex.org/I15062923"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100600035","display_name":"Quanxin Zhu","orcid":"https://orcid.org/0000-0003-3130-4923"},"institutions":[{"id":"https://openalex.org/I173759888","display_name":"Hunan Normal University","ror":"https://ror.org/053w1zy07","country_code":"CN","type":"education","lineage":["https://openalex.org/I173759888"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Quanxin Zhu","raw_affiliation_strings":["CHP-LCOCS, School of Mathematics and Statistics, Hunan Normal University, Changsha, Hunan, China"],"raw_orcid":"https://orcid.org/0000-0003-3130-4923","affiliations":[{"raw_affiliation_string":"CHP-LCOCS, School of Mathematics and Statistics, Hunan Normal University, Changsha, Hunan, China","institution_ids":["https://openalex.org/I173759888"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074290686","display_name":"Tingwen Huang","orcid":"https://orcid.org/0000-0001-9610-846X"},"institutions":[{"id":"https://openalex.org/I58152225","display_name":"Texas A&M University at Qatar","ror":"https://ror.org/03vb4dm14","country_code":"QA","type":"education","lineage":["https://openalex.org/I58152225","https://openalex.org/I91045830"]}],"countries":["QA"],"is_corresponding":false,"raw_author_name":"Tingwen Huang","raw_affiliation_strings":["Science Program, Texas A&M University at Qatar,, Doha, Qatar"],"raw_orcid":"https://orcid.org/0000-0001-9610-846X","affiliations":[{"raw_affiliation_string":"Science Program, Texas A&M University at Qatar,, Doha, Qatar","institution_ids":["https://openalex.org/I58152225"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":6.6626,"has_fulltext":false,"cited_by_count":38,"citation_normalized_percentile":{"value":0.97236213,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"53","issue":"7","first_page":"4487","last_page":"4497"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9997000098228455,"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":0.9997000098228455,"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/T10244","display_name":"Chaos control and synchronization","score":0.9980000257492065,"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/T10320","display_name":"Neural Networks and Applications","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/inertial-frame-of-reference","display_name":"Inertial frame of reference","score":0.6054377555847168},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.5883704423904419},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5532729029655457},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5439451336860657},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5302621722221375},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4210614562034607},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37346893548965454},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20742523670196533},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15764325857162476},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.15192899107933044},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13110119104385376},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.0836372971534729},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.050572365522384644},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.04889118671417236}],"concepts":[{"id":"https://openalex.org/C173386949","wikidata":"https://www.wikidata.org/wiki/Q192735","display_name":"Inertial frame of reference","level":2,"score":0.6054377555847168},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.5883704423904419},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5532729029655457},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5439451336860657},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5302621722221375},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4210614562034607},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37346893548965454},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20742523670196533},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15764325857162476},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.15192899107933044},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13110119104385376},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0836372971534729},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.050572365522384644},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.04889118671417236}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsmc.2023.3249664","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2023.3249664","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Systems, Man, and Cybernetics: Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3800320735","display_name":null,"funder_award_id":"11901433","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7065818918","display_name":null,"funder_award_id":"18JCYBJC85800","funder_id":"https://openalex.org/F4320323993","funder_display_name":"Natural Science Foundation of Tianjin City"},{"id":"https://openalex.org/G79639069","display_name":null,"funder_award_id":"62173139","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/F4320323993","display_name":"Natural Science Foundation of Tianjin City","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":56,"referenced_works":["https://openalex.org/W1963876143","https://openalex.org/W1970442252","https://openalex.org/W1993819032","https://openalex.org/W2028027246","https://openalex.org/W2068366422","https://openalex.org/W2081022937","https://openalex.org/W2093789877","https://openalex.org/W2098203133","https://openalex.org/W2252665062","https://openalex.org/W2256527431","https://openalex.org/W2585054892","https://openalex.org/W2744439937","https://openalex.org/W2754212066","https://openalex.org/W2758339087","https://openalex.org/W2791554239","https://openalex.org/W2806379931","https://openalex.org/W2883863415","https://openalex.org/W2888472353","https://openalex.org/W2894220323","https://openalex.org/W2895318622","https://openalex.org/W2900821062","https://openalex.org/W2906731218","https://openalex.org/W2910288430","https://openalex.org/W2925605127","https://openalex.org/W2946548049","https://openalex.org/W2951007897","https://openalex.org/W2968452038","https://openalex.org/W2968918250","https://openalex.org/W2975032203","https://openalex.org/W2986279097","https://openalex.org/W3009815657","https://openalex.org/W3010012668","https://openalex.org/W3015687126","https://openalex.org/W3016568448","https://openalex.org/W3016683263","https://openalex.org/W3023369481","https://openalex.org/W3034136681","https://openalex.org/W3034299924","https://openalex.org/W3043009478","https://openalex.org/W3048057002","https://openalex.org/W3091262955","https://openalex.org/W3091702267","https://openalex.org/W3110577543","https://openalex.org/W3121800642","https://openalex.org/W3123793698","https://openalex.org/W3157029081","https://openalex.org/W3158001868","https://openalex.org/W3174491199","https://openalex.org/W3189108919","https://openalex.org/W3210148530","https://openalex.org/W4200439297","https://openalex.org/W4205184716","https://openalex.org/W4224988669","https://openalex.org/W4283744058","https://openalex.org/W4300903886","https://openalex.org/W6805346981"],"related_works":["https://openalex.org/W3125070615","https://openalex.org/W1982160337","https://openalex.org/W1971380437","https://openalex.org/W1983548084","https://openalex.org/W2141691317","https://openalex.org/W2110846987","https://openalex.org/W2160609742","https://openalex.org/W2979526210","https://openalex.org/W1997414638","https://openalex.org/W2031091109"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"the":[3,41,45,49,86,94,103,114],"global":[4],"polynomial":[5],"synchronization":[6],"(GPS)":[7],"using":[8],"proportional":[9,55],"delay":[10,56],"inertial":[11],"neural":[12],"networks":[13],"(PDINNs)":[14],"as":[15],"a":[16],"drive-response":[17],"system":[18,43],"is":[19,24,27,37],"studied.":[20],"A":[21],"feedback":[22],"controller":[23],"designed,":[25],"which":[26,99],"easy":[28,110],"to":[29,39,48,111],"implement":[30],"in":[31,60,102],"hardware.":[32],"The":[33,53],"order":[34],"reduction":[35],"method":[36],"used":[38],"reduce":[40],"error":[42],"of":[44,79,93,105],"studied":[46,95],"systems":[47,96],"first-order":[50],"differential":[51,57],"equations.":[52],"novel":[54,87],"inequalities":[58],"(DDIs)":[59],"norm":[61,107],"form":[62,104],"are":[63,97,100,109,117],"established":[64],"by":[65,119],"applying":[66,85],"Lagrange\u2019s":[67],"mean":[68],"value":[69],"theorem,":[70],"derivative":[71],"definition,":[72],"constructing":[73],"auxiliary":[74],"function":[75],"method,":[76],"and":[77,81,108],"properties":[78],"matrix":[80,106],"vector":[82],"norm.":[83],"By":[84],"constructed":[88],"DDIs,":[89],"two":[90],"GPS":[91],"criteria":[92],"acquired,":[98],"embodied":[101],"verify.":[112],"Ultimately,":[113],"theoretical":[115],"results":[116],"supported":[118],"numerical":[120],"examples.":[121]},"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":15},{"year":2024,"cited_by_count":12},{"year":2023,"cited_by_count":5}],"updated_date":"2026-07-14T08:27:34.040176","created_date":"2025-10-10T00:00:00"}