{"id":"https://openalex.org/W4409659362","doi":"https://doi.org/10.1109/tsmc.2025.3559667","title":"Consensus and Products of Substochastic Matrices: Convergence Rate With Communication Delays","display_name":"Consensus and Products of Substochastic Matrices: Convergence Rate With Communication Delays","publication_year":2025,"publication_date":"2025-04-22","ids":{"openalex":"https://openalex.org/W4409659362","doi":"https://doi.org/10.1109/tsmc.2025.3559667"},"language":"en","primary_location":{"id":"doi:10.1109/tsmc.2025.3559667","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2025.3559667","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/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"],"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"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063527143","display_name":"Shuaiming Yan","orcid":"https://orcid.org/0000-0001-8485-1387"},"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":"Shuaiming Yan","raw_affiliation_strings":["School of Artificial Intelligence, Henan University, Zhengzhou, China"],"raw_orcid":"https://orcid.org/0000-0001-8485-1387","affiliations":[{"raw_affiliation_string":"School of Artificial Intelligence, Henan University, Zhengzhou, China","institution_ids":["https://openalex.org/I173899330"]}]},{"author_position":"last","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"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":15.015,"has_fulltext":false,"cited_by_count":40,"citation_normalized_percentile":{"value":0.99645938,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"55","issue":"7","first_page":"4752","last_page":"4761"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12784","display_name":"Modular Robots and Swarm Intelligence","score":0.9921000003814697,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/T12784","display_name":"Modular Robots and Swarm Intelligence","score":0.9921000003814697,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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":0.9900000095367432,"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/T13052","display_name":"Molecular Communication and Nanonetworks","score":0.9693999886512756,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.5711902379989624},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4861838221549988},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3795802891254425},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37273016571998596},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3342996835708618},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.21299517154693604},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.19384923577308655},{"id":"https://openalex.org/keywords/macroeconomics","display_name":"Macroeconomics","score":0.06688311696052551}],"concepts":[{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5711902379989624},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4861838221549988},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3795802891254425},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37273016571998596},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3342996835708618},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.21299517154693604},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.19384923577308655},{"id":"https://openalex.org/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","level":1,"score":0.06688311696052551},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsmc.2025.3559667","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2025.3559667","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":[{"score":0.4300000071525574,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G3719226775","display_name":null,"funder_award_id":"2024M760784","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1594441552","https://openalex.org/W1993672306","https://openalex.org/W2003728758","https://openalex.org/W2023196389","https://openalex.org/W2074796812","https://openalex.org/W2093356327","https://openalex.org/W2139499282","https://openalex.org/W2172813797","https://openalex.org/W2215764026","https://openalex.org/W2887308905","https://openalex.org/W2962700363","https://openalex.org/W2963299942","https://openalex.org/W2964021760","https://openalex.org/W2982653071","https://openalex.org/W2994649061","https://openalex.org/W3014574026","https://openalex.org/W3037264066","https://openalex.org/W3124907137","https://openalex.org/W3199022428","https://openalex.org/W3212949130","https://openalex.org/W4210330970","https://openalex.org/W4224038448","https://openalex.org/W4313203654","https://openalex.org/W4313476603","https://openalex.org/W4360995271","https://openalex.org/W4380839102","https://openalex.org/W4387952011","https://openalex.org/W4391164163","https://openalex.org/W4396594823","https://openalex.org/W4399425883","https://openalex.org/W4400315122"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W1963802308","https://openalex.org/W4226153041","https://openalex.org/W3214543110","https://openalex.org/W2009166380"],"abstract_inverted_index":{"This":[0],"study":[1],"analyzes":[2],"the":[3,24,32,40,50,55,64,67,76,86,91,116],"convergence":[4,52,88],"rate":[5,53],"of":[6,20,26,39,49,54,70,78,90],"leader\u2013follower":[7,41],"multiagent":[8],"consensus":[9,42],"under":[10],"communication":[11],"delays":[12],"by":[13],"developing":[14],"a":[15,36],"measure":[16],"standard":[17],"utilizing":[18],"products":[19],"substochastic":[21],"matrices.":[22],"Through":[23],"construction":[25],"augmented":[27],"auxiliary":[28],"digraphs,":[29],"which":[30,59],"combine":[31],"binary":[33],"relations":[34],"composition,":[35],"comprehensive":[37],"analysis":[38],"dynamics":[43],"is":[44,57,60,106],"conducted.":[45],"A":[46],"mathematical":[47],"representation":[48],"least":[51],"system":[56,92],"established,":[58],"closely":[61],"related":[62],"to":[63,114],"network":[65],"structure,":[66],"upper":[68,83],"bound":[69,84],"weight":[71],"factors":[72],"as":[73,75,98],"well":[74],"size":[77],"time":[79,89],"delays.":[80],"Moreover,":[81],"an":[82],"on":[85],"finite":[87],"with":[93],"special":[94],"topological":[95],"structures,":[96],"such":[97],"chain":[99],"graph,":[100,102],"star":[101],"and":[103],"tree":[104],"graph":[105],"given.":[107],"At":[108],"last,":[109],"simulated":[110],"examples":[111],"are":[112],"presented":[113],"confirm":[115],"theoretical":[117],"findings.":[118]},"counts_by_year":[{"year":2026,"cited_by_count":30},{"year":2025,"cited_by_count":10}],"updated_date":"2026-07-19T07:52:34.831488","created_date":"2025-10-10T00:00:00"}
