{"id":"https://openalex.org/W3049752772","doi":"https://doi.org/10.1109/tsmc.2020.3012469","title":"Fixed-Time Synchronization in the <i>p</i>th Moment for Time-Varying Delay Stochastic Multilayer Networks","display_name":"Fixed-Time Synchronization in the <i>p</i>th Moment for Time-Varying Delay Stochastic Multilayer Networks","publication_year":2020,"publication_date":"2020-08-13","ids":{"openalex":"https://openalex.org/W3049752772","doi":"https://doi.org/10.1109/tsmc.2020.3012469","mag":"3049752772"},"language":"en","primary_location":{"id":"doi:10.1109/tsmc.2020.3012469","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2020.3012469","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/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, China","School of Finance Nanjing Audit University Nanjing 211815, China"],"affiliations":[{"raw_affiliation_string":"School of Finance, Nanjing Audit University, Nanjing, China","institution_ids":["https://openalex.org/I206777745"]},{"raw_affiliation_string":"School of Finance Nanjing Audit University Nanjing 211815, 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, China","[School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China (e-mail: xqwu@whu.edu.cn)]"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Wuhan University, Wuhan, China","institution_ids":["https://openalex.org/I37461747"]},{"raw_affiliation_string":"[School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China (e-mail: xqwu@whu.edu.cn)]","institution_ids":["https://openalex.org/I37461747"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075683574","display_name":"Bing Mao","orcid":"https://orcid.org/0000-0002-2374-549X"},"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":"Bing Mao","raw_affiliation_strings":["School of Mathematics and Statistics, Wuhan University, Wuhan, China","School of Mathematics and Statistics,Wuhan University,Wuhan 430072,China)"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Wuhan University, Wuhan, China","institution_ids":["https://openalex.org/I37461747"]},{"raw_affiliation_string":"School of Mathematics and Statistics,Wuhan University,Wuhan 430072,China)","institution_ids":["https://openalex.org/I37461747"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027725400","display_name":"Jinhu L\u00fc","orcid":"https://orcid.org/0000-0003-0275-8387"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinhu Lu","raw_affiliation_strings":["School of Automation Science and Electrical Engineering, Beihang University, Beijing, China","School of Automation Science and Electrical Engineering, Beihang University , Beijing, 100191, China"],"affiliations":[{"raw_affiliation_string":"School of Automation Science and Electrical Engineering, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]},{"raw_affiliation_string":"School of Automation Science and Electrical Engineering, Beihang University , Beijing, 100191, China","institution_ids":["https://openalex.org/I82880672"]}]},{"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, China","School of Statistics and Mathematics, Nanjing Audit University, Nanjing, 211815, China"],"affiliations":[{"raw_affiliation_string":"School of Statistics and Mathematics, Nanjing Audit University, Nanjing, China","institution_ids":["https://openalex.org/I206777745"]},{"raw_affiliation_string":"School of Statistics and Mathematics, Nanjing Audit University, Nanjing, 211815, China","institution_ids":["https://openalex.org/I206777745"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5078199961"],"corresponding_institution_ids":["https://openalex.org/I206777745"],"apc_list":null,"apc_paid":null,"fwci":4.9337,"has_fulltext":false,"cited_by_count":66,"citation_normalized_percentile":{"value":0.95471483,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"52","issue":"2","first_page":"1135","last_page":"1144"},"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9890999794006348,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9818999767303467,"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/moment","display_name":"Moment (physics)","score":0.5871393084526062},{"id":"https://openalex.org/keywords/notation","display_name":"Notation","score":0.5191377997398376},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5002365112304688},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.45146444439888},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39289790391921997},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3680301010608673},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35115307569503784},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2313109040260315},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.19586116075515747},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.12491598725318909},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0755234956741333}],"concepts":[{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.5871393084526062},{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.5191377997398376},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5002365112304688},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.45146444439888},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39289790391921997},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3680301010608673},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35115307569503784},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2313109040260315},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.19586116075515747},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.12491598725318909},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0755234956741333},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsmc.2020.3012469","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2020.3012469","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/G1283425618","display_name":null,"funder_award_id":"2018AAA0101100","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"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/G2826775739","display_name":null,"funder_award_id":"2019CFA007","funder_id":"https://openalex.org/F4320322186","funder_display_name":"Natural Science Foundation of Hubei Province"},{"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/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"},{"id":"https://openalex.org/G68066098","display_name":null,"funder_award_id":"19KJB120007","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of 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/F4320322186","display_name":"Natural Science Foundation of Hubei Province","ror":null},{"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},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W1527468221","https://openalex.org/W1599474926","https://openalex.org/W1618470073","https://openalex.org/W1977015640","https://openalex.org/W1996581714","https://openalex.org/W2003596063","https://openalex.org/W2012540279","https://openalex.org/W2019499606","https://openalex.org/W2022731857","https://openalex.org/W2025049462","https://openalex.org/W2032563530","https://openalex.org/W2043793275","https://openalex.org/W2056399188","https://openalex.org/W2060446060","https://openalex.org/W2074957607","https://openalex.org/W2075707745","https://openalex.org/W2079313085","https://openalex.org/W2079782852","https://openalex.org/W2082678567","https://openalex.org/W2091329515","https://openalex.org/W2116413314","https://openalex.org/W2141455508","https://openalex.org/W2144336678","https://openalex.org/W2283907552","https://openalex.org/W2470397023","https://openalex.org/W2525760023","https://openalex.org/W2587812844","https://openalex.org/W2589444669","https://openalex.org/W2592852902","https://openalex.org/W2593940606","https://openalex.org/W2609122333","https://openalex.org/W2738765409","https://openalex.org/W2752123807","https://openalex.org/W2768800310","https://openalex.org/W2779603336","https://openalex.org/W2805508138","https://openalex.org/W2843225982","https://openalex.org/W2888119068","https://openalex.org/W2888234887","https://openalex.org/W2895413390","https://openalex.org/W2900812847","https://openalex.org/W2903204749","https://openalex.org/W2947341668","https://openalex.org/W2957592576","https://openalex.org/W2988843599","https://openalex.org/W2997970075","https://openalex.org/W3001523303","https://openalex.org/W3024138322"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2504004674","https://openalex.org/W1987679298","https://openalex.org/W2963177394","https://openalex.org/W4313359513","https://openalex.org/W2498744856","https://openalex.org/W4390482104","https://openalex.org/W322408318","https://openalex.org/W149041114","https://openalex.org/W1965815883"],"abstract_inverted_index":{"Since":[0],"the":[1,4,26,29,32,35,57,88,104,109,116,128,135,138],"speed":[2],"that":[3],"<inline-formula":[5,36,58,117],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[6,37,59,118],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[7,38,60,119],"<tex-math":[8,39,61,120],"notation=\"LaTeX\">$p$":[9,40,62,121],"</tex-math></inline-formula>":[10,41,63,122],"th":[11,42,64,123],"moment":[12,43,65,124],"of":[13,28,34,44,75,91,112,137],"an":[14],"output":[15,30],"signal":[16],"norm":[17],"tends":[18],"to":[19,24],"0":[20],"can":[21],"be":[22],"used":[23],"measure":[25],"quality":[27],"signal,":[31],"stability":[33],"complex":[45],"networks":[46,77],"has":[47],"been":[48],"widely":[49],"concerned.":[50],"This":[51],"article":[52],"studies":[53],"fixed-time":[54,73,101,113],"synchronization":[55,74],"in":[56],"for":[66],"time-varying":[67],"delay":[68,85],"stochastic":[69],"multilayer":[70,76],"networks,":[71],"where":[72],"is":[78,95,125,140],"realized":[79],"by":[80,142],"using":[81],"nonlinear":[82],"feedback":[83],"or":[84],"feedback,":[86],"and":[87,115,127],"concrete":[89],"expression":[90],"fixed":[92],"settling":[93],"time":[94],"evaluated.":[96],"Compared":[97],"with":[98],"some":[99],"existing":[100],"control":[102],"methods,":[103],"optimal":[105],"combination":[106],"relationship":[107],"between":[108],"exponential":[110],"power":[111],"controllers":[114,130],"given,":[126],"designed":[129],"are":[131],"continuous":[132],"function.":[133],"Finally,":[134],"effectiveness":[136],"method":[139],"verified":[141],"numerical":[143],"simulations.":[144]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":15},{"year":2024,"cited_by_count":17},{"year":2023,"cited_by_count":10},{"year":2022,"cited_by_count":13},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}