{"id":"https://openalex.org/W3191642774","doi":"https://doi.org/10.1109/tcsi.2021.3096211","title":"Finite/Fixed-Time Synchronization of Multi-Layer Networks Based on Energy Consumption Estimation","display_name":"Finite/Fixed-Time Synchronization of Multi-Layer Networks Based on Energy Consumption Estimation","publication_year":2021,"publication_date":"2021-08-10","ids":{"openalex":"https://openalex.org/W3191642774","doi":"https://doi.org/10.1109/tcsi.2021.3096211","mag":"3191642774"},"language":"en","primary_location":{"id":"doi:10.1109/tcsi.2021.3096211","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2021.3096211","pdf_url":null,"source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"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 Circuits and Systems I: Regular Papers","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/A5078199961","display_name":"Yuhua Xu","orcid":"https://orcid.org/0000-0001-9285-3008"},"institutions":[{"id":"https://openalex.org/I206777745","display_name":"Nanjing Audit University","ror":"https://ror.org/04zj2bd87","country_code":"CN","type":"education","lineage":["https://openalex.org/I206777745"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yuhua Xu","raw_affiliation_strings":["School of Finance, Nanjing Audit University, Nanjing, Jiangsu, China","[School of Finance, Nanjing Audit University, Nanjing, Jiangsu, China]"],"affiliations":[{"raw_affiliation_string":"School of Finance, Nanjing Audit University, Nanjing, Jiangsu, China","institution_ids":["https://openalex.org/I206777745"]},{"raw_affiliation_string":"[School of Finance, Nanjing Audit University, Nanjing, Jiangsu, China]","institution_ids":["https://openalex.org/I206777745"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001956640","display_name":"Xiaoqun Wu","orcid":"https://orcid.org/0000-0001-5065-6460"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaoqun Wu","raw_affiliation_strings":["School of Mathematics and Statistics, Wuhan University, Wuhan, Hubei, China","School of Mathematics and Statistics, Wuhan University, Wuhan Hubei, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Wuhan University, Wuhan, Hubei, China","institution_ids":["https://openalex.org/I37461747"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Wuhan University, Wuhan Hubei, China","institution_ids":["https://openalex.org/I37461747"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034588083","display_name":"Xiaoxiao Wan","orcid":"https://orcid.org/0000-0002-8696-3830"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaoxiao Wan","raw_affiliation_strings":["School of Mathematics and Statistics, Wuhan University, Wuhan, Hubei, China","School of Mathematics and Statistics, Wuhan University, Wuhan Hubei, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Wuhan University, Wuhan, Hubei, China","institution_ids":["https://openalex.org/I37461747"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Wuhan University, Wuhan Hubei, China","institution_ids":["https://openalex.org/I37461747"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053625689","display_name":"Chengrong Xie","orcid":"https://orcid.org/0000-0003-3031-3115"},"institutions":[{"id":"https://openalex.org/I206777745","display_name":"Nanjing Audit University","ror":"https://ror.org/04zj2bd87","country_code":"CN","type":"education","lineage":["https://openalex.org/I206777745"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chengrong Xie","raw_affiliation_strings":["School of Statistics and Mathematics, Nanjing Audit University, Nanjing, Jiangsu, China","[School of Statistics and Mathematics, Nanjing Audit University, Nanjing, Jiangsu, China]"],"affiliations":[{"raw_affiliation_string":"School of Statistics and Mathematics, Nanjing Audit University, Nanjing, Jiangsu, China","institution_ids":["https://openalex.org/I206777745"]},{"raw_affiliation_string":"[School of Statistics and Mathematics, Nanjing Audit University, Nanjing, Jiangsu, China]","institution_ids":["https://openalex.org/I206777745"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5078199961"],"corresponding_institution_ids":["https://openalex.org/I206777745"],"apc_list":null,"apc_paid":null,"fwci":4.9257,"has_fulltext":false,"cited_by_count":48,"citation_normalized_percentile":{"value":0.95277258,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":100},"biblio":{"volume":"68","issue":"10","first_page":"4278","last_page":"4286"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":1.0,"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":1.0,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9986000061035156,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9975000023841858,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.7543675899505615},{"id":"https://openalex.org/keywords/energy-consumption","display_name":"Energy consumption","score":0.746056079864502},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5385315418243408},{"id":"https://openalex.org/keywords/consumption","display_name":"Consumption (sociology)","score":0.5381397604942322},{"id":"https://openalex.org/keywords/estimation","display_name":"Estimation","score":0.5361549258232117},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49520817399024963},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4891848862171173},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.4600093364715576},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.41503220796585083},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36205723881721497},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.357092946767807},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2501349449157715},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1366254687309265},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.12672361731529236},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11091858148574829},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.07418233156204224}],"concepts":[{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.7543675899505615},{"id":"https://openalex.org/C2780165032","wikidata":"https://www.wikidata.org/wiki/Q16869822","display_name":"Energy consumption","level":2,"score":0.746056079864502},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5385315418243408},{"id":"https://openalex.org/C30772137","wikidata":"https://www.wikidata.org/wiki/Q5164762","display_name":"Consumption (sociology)","level":2,"score":0.5381397604942322},{"id":"https://openalex.org/C96250715","wikidata":"https://www.wikidata.org/wiki/Q965330","display_name":"Estimation","level":2,"score":0.5361549258232117},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49520817399024963},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4891848862171173},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.4600093364715576},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.41503220796585083},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36205723881721497},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.357092946767807},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2501349449157715},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1366254687309265},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.12672361731529236},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11091858148574829},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.07418233156204224},{"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/C36289849","wikidata":"https://www.wikidata.org/wiki/Q34749","display_name":"Social science","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C201995342","wikidata":"https://www.wikidata.org/wiki/Q682496","display_name":"Systems engineering","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsi.2021.3096211","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2021.3096211","pdf_url":null,"source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"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 Circuits and Systems I: Regular Papers","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.9100000262260437}],"awards":[{"id":"https://openalex.org/G2415565141","display_name":null,"funder_award_id":"61973241","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3320628318","display_name":null,"funder_award_id":"61673221","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4361232870","display_name":null,"funder_award_id":"BK20181418","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"},{"id":"https://openalex.org/G5399223842","display_name":null,"funder_award_id":"DZXX-019","funder_id":"https://openalex.org/F4320326182","funder_display_name":"Six Talent Peaks Project in Jiangsu Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322769","display_name":"Natural Science Foundation of Jiangsu Province","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320326182","display_name":"Six Talent Peaks Project in Jiangsu Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W1578135654","https://openalex.org/W1599474926","https://openalex.org/W1945601895","https://openalex.org/W1985463596","https://openalex.org/W2015113370","https://openalex.org/W2032563530","https://openalex.org/W2043793275","https://openalex.org/W2081818185","https://openalex.org/W2098127225","https://openalex.org/W2104109956","https://openalex.org/W2117344958","https://openalex.org/W2128503406","https://openalex.org/W2309350575","https://openalex.org/W2329692933","https://openalex.org/W2336468263","https://openalex.org/W2550206547","https://openalex.org/W2588099484","https://openalex.org/W2592852902","https://openalex.org/W2767959255","https://openalex.org/W2768687687","https://openalex.org/W2842057506","https://openalex.org/W2888119068","https://openalex.org/W2899618753","https://openalex.org/W2947341668","https://openalex.org/W2947720592","https://openalex.org/W2980451696","https://openalex.org/W2980839097","https://openalex.org/W2995719620","https://openalex.org/W3000093441","https://openalex.org/W3024138322","https://openalex.org/W3049752772","https://openalex.org/W3093948993","https://openalex.org/W3110195989","https://openalex.org/W3125908070","https://openalex.org/W3130671418","https://openalex.org/W3153365062","https://openalex.org/W3163490008","https://openalex.org/W6793260015"],"related_works":["https://openalex.org/W2576994247","https://openalex.org/W2608353378","https://openalex.org/W4249206767","https://openalex.org/W2380573388","https://openalex.org/W2563559453","https://openalex.org/W2382330008","https://openalex.org/W2369636957","https://openalex.org/W2029465934","https://openalex.org/W1519970947","https://openalex.org/W4243860260"],"abstract_inverted_index":{"This":[0],"paper":[1],"discusses":[2],"finite/fixed-time":[3],"(FNT/FXT)":[4],"synchronization":[5,30,77],"of":[6,20,39,49,52,54,67,92],"multi-layer":[7,32],"networks":[8,33],"based":[9,58],"on":[10,59],"energy":[11,41,70,81],"consumption":[12,42,82],"estimation.":[13],"Firstly,":[14],"a":[15],"novel":[16],"FXT":[17],"stability":[18],"theorem":[19],"dynamical":[21],"system":[22],"is":[23,56,96],"presented.":[24],"Secondly,":[25],"sufficient":[26],"criteria":[27],"for":[28],"FNT/FXT":[29],"in":[31],"are":[34,43],"given,":[35],"and":[36,64,79],"the":[37,40,47,50,60,65,68,90,93],"estimation":[38,66],"also":[44],"gained.":[45],"Especially,":[46],"range":[48],"number":[51],"layers":[53],"network":[55,87],"gained":[57],"least":[61,69],"convergence":[62],"time":[63,78],"consumption.":[71],"The":[72],"results":[73],"show":[74],"that":[75],"shorter":[76],"less":[80,86],"does":[83],"not":[84],"mean":[85],"layers.":[88],"Finally,":[89],"validity":[91],"theoretical":[94],"method":[95],"verified":[97],"by":[98],"numerical":[99],"simulation.":[100]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":15},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":13},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":3}],"updated_date":"2026-03-07T16:01:11.037858","created_date":"2025-10-10T00:00:00"}
