{"id":"https://openalex.org/W4390604609","doi":"https://doi.org/10.1109/tnse.2024.3350122","title":"Analyzing Containment Control Performance for Fractional-Order Multi-Agent Systems via A Delay Margin Perspective","display_name":"Analyzing Containment Control Performance for Fractional-Order Multi-Agent Systems via A Delay Margin Perspective","publication_year":2024,"publication_date":"2024-01-05","ids":{"openalex":"https://openalex.org/W4390604609","doi":"https://doi.org/10.1109/tnse.2024.3350122"},"language":"en","primary_location":{"id":"doi:10.1109/tnse.2024.3350122","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnse.2024.3350122","pdf_url":null,"source":{"id":"https://openalex.org/S2484352698","display_name":"IEEE Transactions on Network Science and Engineering","issn_l":"2327-4697","issn":["2327-4697","2334-329X"],"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 Network Science and Engineering","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/A5003554707","display_name":"Weihao Li","orcid":"https://orcid.org/0000-0002-9447-7023"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weihao Li","raw_affiliation_strings":["School of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu, China"],"raw_orcid":"https://orcid.org/0000-0002-9447-7023","affiliations":[{"raw_affiliation_string":"School of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013809251","display_name":"Lei Shi","orcid":"https://orcid.org/0000-0002-9826-7402"},"institutions":[{"id":"https://openalex.org/I173899330","display_name":"Henan University","ror":"https://ror.org/003xyzq10","country_code":"CN","type":"education","lineage":["https://openalex.org/I173899330"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lei Shi","raw_affiliation_strings":["School of Artificial Intelligence, Henan University, Zhengzhou, China","International Joint Research Laboratory for Cooperative Vehicular Networks of Henan, Henan University, Zhengzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-9826-7402","affiliations":[{"raw_affiliation_string":"School of Artificial Intelligence, Henan University, Zhengzhou, China","institution_ids":["https://openalex.org/I173899330"]},{"raw_affiliation_string":"International Joint Research Laboratory for Cooperative Vehicular Networks of Henan, Henan University, Zhengzhou, China","institution_ids":["https://openalex.org/I173899330"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049911852","display_name":"Mengji Shi","orcid":"https://orcid.org/0000-0003-1360-9846"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mengji Shi","raw_affiliation_strings":["School of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu, China"],"raw_orcid":"https://orcid.org/0000-0003-1360-9846","affiliations":[{"raw_affiliation_string":"School of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010096379","display_name":"Jiangfeng Yue","orcid":"https://orcid.org/0009-0007-0922-2303"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiangfeng Yue","raw_affiliation_strings":["School of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu, China"],"raw_orcid":"https://orcid.org/0009-0007-0922-2303","affiliations":[{"raw_affiliation_string":"School of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051109555","display_name":"Boxian Lin","orcid":"https://orcid.org/0000-0001-9481-2883"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Boxian Lin","raw_affiliation_strings":["School of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu, China"],"raw_orcid":"https://orcid.org/0000-0001-9481-2883","affiliations":[{"raw_affiliation_string":"School of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075449178","display_name":"Kaiyu Qin","orcid":"https://orcid.org/0000-0002-0812-7095"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kaiyu Qin","raw_affiliation_strings":["School of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu, China"],"raw_orcid":"https://orcid.org/0000-0002-0812-7095","affiliations":[{"raw_affiliation_string":"School of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":6.2498,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.96818587,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"11","issue":"3","first_page":"2810","last_page":"2821"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9998000264167786,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9998000264167786,"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9883000254631042,"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/control-theory","display_name":"Control theory (sociology)","score":0.6578606963157654},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.4921521544456482},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4921087622642517},{"id":"https://openalex.org/keywords/containment","display_name":"Containment (computer programming)","score":0.48709726333618164},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.478700190782547},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.4478937089443207},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4357408881187439},{"id":"https://openalex.org/keywords/laplacian-matrix","display_name":"Laplacian matrix","score":0.4191291928291321},{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.4127707779407501},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4046737849712372},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38339871168136597},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.29232513904571533},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1696760356426239},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15471431612968445},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.15315359830856323},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.11698278784751892}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6578606963157654},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.4921521544456482},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4921087622642517},{"id":"https://openalex.org/C2777019822","wikidata":"https://www.wikidata.org/wiki/Q390066","display_name":"Containment (computer programming)","level":2,"score":0.48709726333618164},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.478700190782547},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.4478937089443207},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4357408881187439},{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.4191291928291321},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.4127707779407501},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4046737849712372},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38339871168136597},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.29232513904571533},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1696760356426239},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15471431612968445},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.15315359830856323},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11698278784751892},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tnse.2024.3350122","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnse.2024.3350122","pdf_url":null,"source":{"id":"https://openalex.org/S2484352698","display_name":"IEEE Transactions on Network Science and Engineering","issn_l":"2327-4697","issn":["2327-4697","2334-329X"],"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 Network Science and Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.44999998807907104}],"awards":[{"id":"https://openalex.org/G5329273","display_name":null,"funder_award_id":"2022NSFSC0037","funder_id":"https://openalex.org/F4320329861","funder_display_name":"Natural Science Foundation of Sichuan Province"},{"id":"https://openalex.org/G5595535405","display_name":null,"funder_award_id":"62103080","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8287859250","display_name":null,"funder_award_id":"ZYGX2020J020","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320329861","display_name":"Natural Science Foundation of Sichuan Province","ror":null},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W2012383111","https://openalex.org/W2035250412","https://openalex.org/W2057098716","https://openalex.org/W2057410971","https://openalex.org/W2068240490","https://openalex.org/W2115206688","https://openalex.org/W2122226813","https://openalex.org/W2323811587","https://openalex.org/W2484117929","https://openalex.org/W2566410263","https://openalex.org/W2742784808","https://openalex.org/W2787959293","https://openalex.org/W2899088964","https://openalex.org/W2901172274","https://openalex.org/W2972968928","https://openalex.org/W2974310950","https://openalex.org/W2976931723","https://openalex.org/W2987086235","https://openalex.org/W2995808990","https://openalex.org/W3004838487","https://openalex.org/W3014574026","https://openalex.org/W3020342559","https://openalex.org/W3021034858","https://openalex.org/W3022476097","https://openalex.org/W3043535746","https://openalex.org/W3088137636","https://openalex.org/W3123693105","https://openalex.org/W3137284326","https://openalex.org/W3153144312","https://openalex.org/W3153395890","https://openalex.org/W3162690794","https://openalex.org/W3208998525","https://openalex.org/W3212949130","https://openalex.org/W3213962440","https://openalex.org/W4225417814","https://openalex.org/W4226047815","https://openalex.org/W4249667877","https://openalex.org/W4285114172","https://openalex.org/W4292261466","https://openalex.org/W4293704324","https://openalex.org/W4295016751","https://openalex.org/W4296382171","https://openalex.org/W4311173349","https://openalex.org/W4312836399","https://openalex.org/W4313011774","https://openalex.org/W4321483979","https://openalex.org/W4322576707","https://openalex.org/W4381244010","https://openalex.org/W4385569499"],"related_works":["https://openalex.org/W3008339103","https://openalex.org/W1667647204","https://openalex.org/W2404647514","https://openalex.org/W4247536566","https://openalex.org/W4241418540","https://openalex.org/W2018477250","https://openalex.org/W3119814709","https://openalex.org/W1508895727","https://openalex.org/W2725786787","https://openalex.org/W1590965489"],"abstract_inverted_index":{"This":[0],"article":[1],"investigates":[2],"the":[3,26,32,37,41,49,54,57,67,79,88,95,99,103,127,132,148,152,156,170,184,187],"containment":[4,27,50,104,153],"control":[5,28,51,136,154],"performance":[6,29],"analysis":[7],"problem":[8],"for":[9,107],"double-integrator":[10],"fractional-order":[11,60,108],"multi-agent":[12],"systems":[13],"(MASs)":[14],"with":[15],"nonuniform":[16,58],"time":[17,81,142],"delays":[18,143],"(NTDs).":[19],"The":[20],"primary":[21],"focus":[22],"is":[23,45,63,84,158],"on":[24,118],"evaluating":[25],"by":[30,47,65,86],"calculating":[31],"explicit":[33,149],"delay":[34,82,119,150],"margin.":[35],"Firstly,":[36],"transfer":[38],"function":[39],"of":[40,56,124,131,155,186],"closed-loop":[42,61],"error":[43],"system":[44,62],"established":[46],"defining":[48],"error.":[52],"Then,":[53],"stability":[55],"delayed":[59],"analyzed":[64],"using":[66],"frequency":[68],"domain":[69],"method,":[70],"considering":[71],"both":[72],"undirected":[73],"and":[74,121,135],"directed":[75],"communication":[76],"topologies.":[77],"Furthermore,":[78],"critical":[80],"(TD)":[83],"determined":[85],"generating":[87],"characteristic":[89],"equation":[90],"as":[91],"a":[92,122],"polynomial":[93],"involving":[94,126],"sub-Laplacian":[96],"matrix":[97],"among":[98],"follower":[100],"agents.":[101],"Additionally,":[102],"convergence":[105],"conditions":[106,113],"MASs":[109],"are":[110,180],"derived.":[111],"These":[112],"can":[114],"be":[115,161],"formulated":[116],"based":[117],"margins":[120],"set":[123],"inequalities":[125],"fractional":[128],"order,":[129],"eigenvalues":[130],"Laplacian":[133],"matrix,":[134],"parameters.":[137],"In":[138],"summary,":[139],"if":[140,164],"all":[141,165],"(TDs)":[144],"do":[145],"not":[146],"surpass":[147,167],"margin,":[151,169],"MAS":[157,171],"said":[159],"to":[160,182],"realized;":[162],"Otherwise,":[163],"TDs":[166],"this":[168],"suffers":[172],"from":[173],"state":[174],"divergence.":[175],"Finally,":[176],"two":[177],"simulation":[178],"examples":[179],"provided":[181],"verify":[183],"correctness":[185],"theoretical":[188],"results.":[189]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":18},{"year":2024,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}