{"id":"https://openalex.org/W4413267486","doi":"https://doi.org/10.1109/tsipn.2025.3592314","title":"Resilient Output Containment of Heterogeneous Multi-Agent Systems Against Byzantine Attacks","display_name":"Resilient Output Containment of Heterogeneous Multi-Agent Systems Against Byzantine Attacks","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4413267486","doi":"https://doi.org/10.1109/tsipn.2025.3592314"},"language":"en","primary_location":{"id":"doi:10.1109/tsipn.2025.3592314","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsipn.2025.3592314","pdf_url":null,"source":{"id":"https://openalex.org/S4306422866","display_name":"IEEE Transactions on Signal and Information Processing over Networks","issn_l":"2373-776X","issn":["2373-776X","2373-7778"],"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 Signal and Information Processing over Networks","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/A5088135162","display_name":"Xin Gong","orcid":"https://orcid.org/0000-0001-6883-5088"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xin Gong","raw_affiliation_strings":["School of Cyber Science and Engineering, Southeast University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0001-6883-5088","affiliations":[{"raw_affiliation_string":"School of Cyber Science and Engineering, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054372674","display_name":"Yang Cao","orcid":"https://orcid.org/0000-0002-6940-0868"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yang Cao","raw_affiliation_strings":["School of Cyber Science and Engineering, Southeast University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0002-6940-0868","affiliations":[{"raw_affiliation_string":"School of Cyber Science and Engineering, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037854048","display_name":"Xiuxian Li","orcid":"https://orcid.org/0000-0002-4938-0468"},"institutions":[{"id":"https://openalex.org/I116953780","display_name":"Tongji University","ror":"https://ror.org/03rc6as71","country_code":"CN","type":"education","lineage":["https://openalex.org/I116953780"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiuxian Li","raw_affiliation_strings":["Department of Control Science and Engineering, Tongji University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0002-4938-0468","affiliations":[{"raw_affiliation_string":"Department of Control Science and Engineering, Tongji University, Shanghai, China","institution_ids":["https://openalex.org/I116953780"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017458868","display_name":"Hong Lin","orcid":"https://orcid.org/0000-0003-2207-2294"},"institutions":[{"id":"https://openalex.org/I182722699","display_name":"Shenzhen Polytechnic University","ror":"https://ror.org/00d2w9g53","country_code":"CN","type":"education","lineage":["https://openalex.org/I182722699"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hong Lin","raw_affiliation_strings":["Institute of Intelligence Science and Engineering, Shenzhen Polytechnic University, Shenzhen, China"],"raw_orcid":"https://orcid.org/0000-0003-2207-2294","affiliations":[{"raw_affiliation_string":"Institute of Intelligence Science and Engineering, Shenzhen Polytechnic University, Shenzhen, China","institution_ids":["https://openalex.org/I182722699"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101561346","display_name":"Zhan Shu","orcid":"https://orcid.org/0000-0002-5933-254X"},"institutions":[{"id":"https://openalex.org/I154425047","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27","country_code":"CA","type":"education","lineage":["https://openalex.org/I154425047"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Zhan Shu","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB, Canada"],"raw_orcid":"https://orcid.org/0000-0002-5933-254X","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB, Canada","institution_ids":["https://openalex.org/I154425047"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040088510","display_name":"Guanghui Wen","orcid":"https://orcid.org/0000-0003-0070-8597"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guanghui Wen","raw_affiliation_strings":["School of Automation, Southeast University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0003-0070-8597","affiliations":[{"raw_affiliation_string":"School of Automation, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4626,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.66267832,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"11","issue":null,"first_page":"938","last_page":"951"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10502","display_name":"Advanced Memory and Neural Computing","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10502","display_name":"Advanced Memory and Neural Computing","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10917","display_name":"Smart Grid Security and Resilience","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.994700014591217,"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/containment","display_name":"Containment (computer programming)","score":0.7690973281860352},{"id":"https://openalex.org/keywords/byzantine-architecture","display_name":"Byzantine architecture","score":0.6031388640403748},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5151892900466919},{"id":"https://openalex.org/keywords/byzantine-fault-tolerance","display_name":"Byzantine fault tolerance","score":0.4407416880130768},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.4312211275100708},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.3639254570007324},{"id":"https://openalex.org/keywords/history","display_name":"History","score":0.09546482563018799},{"id":"https://openalex.org/keywords/fault-tolerance","display_name":"Fault tolerance","score":0.08853024244308472},{"id":"https://openalex.org/keywords/ancient-history","display_name":"Ancient history","score":0.05786147713661194}],"concepts":[{"id":"https://openalex.org/C2777019822","wikidata":"https://www.wikidata.org/wiki/Q390066","display_name":"Containment (computer programming)","level":2,"score":0.7690973281860352},{"id":"https://openalex.org/C104562893","wikidata":"https://www.wikidata.org/wiki/Q47591","display_name":"Byzantine architecture","level":2,"score":0.6031388640403748},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5151892900466919},{"id":"https://openalex.org/C168021876","wikidata":"https://www.wikidata.org/wiki/Q1353446","display_name":"Byzantine fault tolerance","level":3,"score":0.4407416880130768},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.4312211275100708},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.3639254570007324},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.09546482563018799},{"id":"https://openalex.org/C63540848","wikidata":"https://www.wikidata.org/wiki/Q3140932","display_name":"Fault tolerance","level":2,"score":0.08853024244308472},{"id":"https://openalex.org/C195244886","wikidata":"https://www.wikidata.org/wiki/Q41493","display_name":"Ancient history","level":1,"score":0.05786147713661194},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsipn.2025.3592314","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsipn.2025.3592314","pdf_url":null,"source":{"id":"https://openalex.org/S4306422866","display_name":"IEEE Transactions on Signal and Information Processing over Networks","issn_l":"2373-776X","issn":["2373-776X","2373-7778"],"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 Signal and Information Processing over Networks","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7900000214576721,"id":"https://metadata.un.org/sdg/13","display_name":"Climate action"}],"awards":[{"id":"https://openalex.org/G1131862074","display_name":null,"funder_award_id":"08002150138","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G2843151570","display_name":null,"funder_award_id":"62325304","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3610214707","display_name":null,"funder_award_id":"3072024GH0404","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G4335155998","display_name":null,"funder_award_id":"62403128","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G488895415","display_name":null,"funder_award_id":"62103103","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5756552843","display_name":null,"funder_award_id":"62473292","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G62426012","display_name":null,"funder_award_id":"U24A20279","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8967878662","display_name":null,"funder_award_id":"U22B2046","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/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":45,"referenced_works":["https://openalex.org/W619072037","https://openalex.org/W1506426323","https://openalex.org/W1973184571","https://openalex.org/W1986486153","https://openalex.org/W2038739174","https://openalex.org/W2168132433","https://openalex.org/W2322494928","https://openalex.org/W2342952057","https://openalex.org/W2608867620","https://openalex.org/W2782673532","https://openalex.org/W2901312815","https://openalex.org/W2902868039","https://openalex.org/W2962520377","https://openalex.org/W2962775700","https://openalex.org/W2963426216","https://openalex.org/W2963686600","https://openalex.org/W2968932836","https://openalex.org/W2970427121","https://openalex.org/W2972160586","https://openalex.org/W2980828237","https://openalex.org/W2986088584","https://openalex.org/W3021805202","https://openalex.org/W3035639069","https://openalex.org/W3043171788","https://openalex.org/W3045124875","https://openalex.org/W3051412445","https://openalex.org/W3114737796","https://openalex.org/W3121653500","https://openalex.org/W3133605356","https://openalex.org/W3136325360","https://openalex.org/W3137084240","https://openalex.org/W3195704320","https://openalex.org/W4213367573","https://openalex.org/W4229032679","https://openalex.org/W4246923680","https://openalex.org/W4255679714","https://openalex.org/W4283832368","https://openalex.org/W4317038588","https://openalex.org/W4322730882","https://openalex.org/W4360999810","https://openalex.org/W4361030036","https://openalex.org/W4377000485","https://openalex.org/W4386456135","https://openalex.org/W4389664991","https://openalex.org/W4391097233"],"related_works":["https://openalex.org/W635625959","https://openalex.org/W1548189724","https://openalex.org/W4242769984","https://openalex.org/W2034320198","https://openalex.org/W1985305288","https://openalex.org/W4252331942","https://openalex.org/W4386477301","https://openalex.org/W4220997590","https://openalex.org/W2763042189","https://openalex.org/W2002589180"],"abstract_inverted_index":{"This":[0,201],"study":[1],"focuses":[2],"on":[3,92,110],"addressing":[4],"distributed":[5,129],"Byzantine-resilient":[6],"output":[7,81,245],"containment":[8,82,229,246],"issues":[9],"for":[10,171],"heterogeneous":[11],"continuous-time":[12],"multi-agent":[13],"systems.":[14],"Inspired":[15],"by":[16,132,147,278],"the":[17,47,58,63,79,93,108,111,122,141,144,166,173,176,180,206,227,235,250,257,273,279],"digital":[18],"twin":[19,36,52,94,123,145,177],"technology":[20],"which":[21,43,61,139,234],"creates":[22],"a":[23,27,32,127,134,149,185],"virtual":[24,33],"replica":[25],"of":[26,67,143,152,175,208,248,259],"physical":[28],"object":[29],"or":[30],"system,":[31],"layer":[34,37,53,95,113,146],"named":[35],"is":[38,44,54,156,169],"introduced":[39],"in":[40,233],"this":[41,260],"work,":[42],"parallel":[45],"to":[46,105,225,238],"conventional":[48],"cyber-physical":[49,59,112,181],"layer.":[50,178],"The":[51,253],"more":[55],"secure":[56,64,136],"than":[57],"layer,":[60,124,182],"generates":[62],"reference":[65],"trajectory":[66],"each":[68],"agent":[69],"via":[70],"real-time":[71],"data":[72],"processing":[73],"and":[74,102,107,193,268],"simulation.":[75],"Moreover,":[76],"it":[77],"decouples":[78],"resilient":[80,130,228],"against":[83,96,114,189,231],"Byzantine":[84,97,115,190,239,269],"attacks":[85,99,117,192,241],"(BA)":[86],"into":[87],"two":[88],"defense":[89],"sub-schemes:":[90],"One":[91],"edge":[98],"(sending":[100],"wrong":[101],"different":[103],"messages":[104],"neighbors)":[106],"other":[109],"node":[116,191,240],"(falsifying":[118],"input":[119],"signals).":[120],"On":[121,179],"we":[125,183,223],"develop":[126],"topology-assignable":[128],"estimator":[131],"utilizing":[133],"novel":[135,202],"centroid":[137],"approach,":[138],"enhances":[140],"resilience":[142,174],"adding":[148],"minimal":[150],"fraction":[151],"trusted":[153],"edges.":[154],"It":[155],"proved":[157],"that":[158],"achieving":[159],"strong":[160],"<inline-formula":[161],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[162],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex-math":[163],"notation=\"LaTeX\">$[({n+1})f+1]$</tex-math></inline-formula>-robustness":[164],"towards":[165],"leader":[167],"set":[168],"adequate":[170],"ensuring":[172],"design":[184],"decentralized":[186],"adaptive":[187,203],"controller":[188,199,204],"can":[194,218,242],"also":[195,243],"handle":[196],"potential":[197],"inter-layered":[198],"faults.":[200],"has":[205],"merit":[207],"converging":[209],"exponentially":[210],"at":[211],"an":[212],"adjustable":[213],"rate,":[214],"whose":[215],"error":[216],"bound":[217],"be":[219],"explicitly":[220],"stated.":[221],"Consequently,":[222],"manage":[224],"address":[226],"problem":[230],"BAs,":[232],"agents":[236],"subject":[237],"achieve":[244],"instead":[247],"just":[249],"normal":[251,267,280],"agents.":[252],"simulation":[254],"examples":[255],"confirm":[256],"efficacy":[258],"newly":[261],"developed":[262],"hierarchical":[263],"protocol,":[264],"where":[265],"both":[266],"followers":[270],"converge":[271],"within":[272],"dynamic":[274],"convex":[275],"hull":[276],"formed":[277],"leaders.":[281]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
