{"id":"https://openalex.org/W4411142794","doi":"https://doi.org/10.1109/lcsys.2025.3578272","title":"Stability and Convergence Analysis of Multi-Agent Consensus With Communication Delays: A Lambert W Function Approach","display_name":"Stability and Convergence Analysis of Multi-Agent Consensus With Communication Delays: A Lambert W Function Approach","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4411142794","doi":"https://doi.org/10.1109/lcsys.2025.3578272"},"language":"en","primary_location":{"id":"doi:10.1109/lcsys.2025.3578272","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2025.3578272","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"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 Control Systems Letters","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/A5117932388","display_name":"Layan A. Badran","orcid":null},"institutions":[{"id":"https://openalex.org/I60158472","display_name":"Concordia University","ror":"https://ror.org/0420zvk78","country_code":"CA","type":"education","lineage":["https://openalex.org/I60158472"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Layan A. Badran","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Concordia University, Montreal, QC, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Concordia University, Montreal, QC, Canada","institution_ids":["https://openalex.org/I60158472"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026650631","display_name":"Kiarash Aryankia","orcid":"https://orcid.org/0000-0002-4751-3925"},"institutions":[{"id":"https://openalex.org/I60158472","display_name":"Concordia University","ror":"https://ror.org/0420zvk78","country_code":"CA","type":"education","lineage":["https://openalex.org/I60158472"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Kiarash Ayrankia","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Concordia University, Montreal, QC, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Concordia University, Montreal, QC, Canada","institution_ids":["https://openalex.org/I60158472"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064990097","display_name":"Rastko R. \u0160elmi\u0107","orcid":"https://orcid.org/0000-0001-9345-8077"},"institutions":[{"id":"https://openalex.org/I60158472","display_name":"Concordia University","ror":"https://ror.org/0420zvk78","country_code":"CA","type":"education","lineage":["https://openalex.org/I60158472"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Rastko R. Selmic","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Concordia University, Montreal, QC, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Concordia University, Montreal, QC, Canada","institution_ids":["https://openalex.org/I60158472"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5117932388"],"corresponding_institution_ids":["https://openalex.org/I60158472"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.13188193,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"9","issue":null,"first_page":"781","last_page":"786"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9710999727249146,"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":0.9710999727249146,"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9171000123023987,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/lambert-w-function","display_name":"Lambert W function","score":0.7146211862564087},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.681067168712616},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5339601635932922},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5190213918685913},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5028614401817322},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4698159992694855},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3587125539779663},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.33875399827957153},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2474564015865326},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09505429863929749},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.07605022192001343}],"concepts":[{"id":"https://openalex.org/C130924491","wikidata":"https://www.wikidata.org/wiki/Q429331","display_name":"Lambert W function","level":2,"score":0.7146211862564087},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.681067168712616},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5339601635932922},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5190213918685913},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5028614401817322},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4698159992694855},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3587125539779663},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.33875399827957153},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2474564015865326},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09505429863929749},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.07605022192001343},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lcsys.2025.3578272","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2025.3578272","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"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 Control Systems Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4507651763","display_name":null,"funder_award_id":"RGPIN-2024-04776","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"}],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W602904462","https://openalex.org/W1483804921","https://openalex.org/W1965880522","https://openalex.org/W1989041972","https://openalex.org/W2071981680","https://openalex.org/W2096762102","https://openalex.org/W2106565812","https://openalex.org/W2166833517","https://openalex.org/W2170774893","https://openalex.org/W2330565585","https://openalex.org/W2337562255","https://openalex.org/W2425982206","https://openalex.org/W2528711320","https://openalex.org/W2556018764","https://openalex.org/W2735703213","https://openalex.org/W2797315706","https://openalex.org/W2971351837","https://openalex.org/W2982432300","https://openalex.org/W4286839784","https://openalex.org/W4292071974","https://openalex.org/W4387445778","https://openalex.org/W4387541929","https://openalex.org/W4391582469"],"related_works":["https://openalex.org/W2280310889","https://openalex.org/W2736397985","https://openalex.org/W2108410032","https://openalex.org/W2167065846","https://openalex.org/W2031866318","https://openalex.org/W1994450402","https://openalex.org/W3025835376","https://openalex.org/W2022202972","https://openalex.org/W4404858660","https://openalex.org/W2994606758"],"abstract_inverted_index":{"This":[0],"paper":[1],"investigates":[2],"the":[3,31,44,71,103,106],"effect":[4],"of":[5,105],"constant":[6],"time":[7,33],"delay":[8,34,73],"in":[9,49],"weakly":[10],"connected":[11],"multi-agent":[12],"systems":[13,51],"modelled":[14],"by":[15],"double":[16],"integrator":[17],"dynamics.":[18],"A":[19],"novel":[20],"analytical":[21],"approach":[22],"is":[23,59],"proposed":[24,107],"to":[25,52,78,101],"establish":[26],"an":[27],"upper":[28],"bound":[29],"on":[30],"permissible":[32],"that":[35],"ensures":[36],"stability":[37],"and":[38,67,90],"consensus":[39,58],"convergence.":[40],"The":[41,61,75,84],"analysis":[42,76],"employs":[43],"Lambert":[45],"W":[46],"function":[47],"method":[48],"higher-dimensional":[50],"derive":[53],"explicit":[54],"conditions":[55],"under":[56],"which":[57],"achieved.":[60],"theoretical":[62],"results":[63],"are":[64,99],"rigorously":[65],"proven":[66],"provide":[68],"insight":[69],"into":[70],"allowable":[72],"margins.":[74],"applies":[77],"general":[79],"leaderless":[80],"undirected":[81],"network":[82],"topologies.":[83],"framework":[85],"also":[86],"accounts":[87],"for":[88],"complex":[89],"realistic":[91],"delays,":[92],"including":[93],"non-commensurate":[94],"communication":[95],"delays.":[96],"Numerical":[97],"examples":[98],"provided":[100],"demonstrate":[102],"effectiveness":[104],"method.":[108]},"counts_by_year":[],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}