{"id":"https://openalex.org/W2147459576","doi":"https://doi.org/10.1109/cdc.2009.5399996","title":"Reaching &amp;#x2112;&lt;inf&gt;p&lt;/inf&gt; consensus in a network of multiagents with stochastically switching topologies","display_name":"Reaching &amp;#x2112;&lt;inf&gt;p&lt;/inf&gt; consensus in a network of multiagents with stochastically switching topologies","publication_year":2009,"publication_date":"2009-12-01","ids":{"openalex":"https://openalex.org/W2147459576","doi":"https://doi.org/10.1109/cdc.2009.5399996","mag":"2147459576"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2009.5399996","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5399996","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference","raw_type":"proceedings-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/A5021126690","display_name":"Bo Liu","orcid":"https://orcid.org/0009-0006-1687-656X"},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bo Liu","raw_affiliation_strings":["School of Mathematical Sciences, Fudan University, Shanghai, China","School of Mathematical Sciences, Fudan University,Shanghai,China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Fudan University, Shanghai, China","institution_ids":["https://openalex.org/I24943067"]},{"raw_affiliation_string":"School of Mathematical Sciences, Fudan University,Shanghai,China","institution_ids":["https://openalex.org/I24943067"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030103251","display_name":"Wenlian Lu","orcid":"https://orcid.org/0000-0003-1880-6240"},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenlian Lu","raw_affiliation_strings":["School of Mathematical Sciences, Fudan University, Shanghai, China","School of Mathematical Sciences, Fudan University,Shanghai,China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Fudan University, Shanghai, China","institution_ids":["https://openalex.org/I24943067"]},{"raw_affiliation_string":"School of Mathematical Sciences, Fudan University,Shanghai,China","institution_ids":["https://openalex.org/I24943067"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062509066","display_name":"Tianping Chen","orcid":"https://orcid.org/0000-0001-6117-6673"},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tianping Chen","raw_affiliation_strings":["School of Mathematical Sciences, Fudan University, Shanghai, China","School of Mathematical Sciences, Fudan University,Shanghai,China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Fudan University, Shanghai, China","institution_ids":["https://openalex.org/I24943067"]},{"raw_affiliation_string":"School of Mathematical Sciences, Fudan University,Shanghai,China","institution_ids":["https://openalex.org/I24943067"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7258,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.75883123,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":null,"first_page":"2670","last_page":"2675"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9993000030517578,"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":0.9993000030517578,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9961000084877014,"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/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9794999957084656,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.8711190819740295},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.5704278349876404},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.5633094310760498},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5072998404502869},{"id":"https://openalex.org/keywords/consensus","display_name":"Consensus","score":0.49036359786987305},{"id":"https://openalex.org/keywords/consensus-algorithm","display_name":"Consensus algorithm","score":0.4819321632385254},{"id":"https://openalex.org/keywords/independent-and-identically-distributed-random-variables","display_name":"Independent and identically distributed random variables","score":0.4362577795982361},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.42241644859313965},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.41429173946380615},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.4123995900154114},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.366630494594574},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3341982364654541},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3302815556526184},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32757335901260376},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.29487982392311096},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.23564013838768005},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.21747282147407532},{"id":"https://openalex.org/keywords/multi-agent-system","display_name":"Multi-agent system","score":0.1998889446258545},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.12954893708229065},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.10964199900627136},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08634546399116516}],"concepts":[{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.8711190819740295},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.5704278349876404},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.5633094310760498},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5072998404502869},{"id":"https://openalex.org/C107107730","wikidata":"https://www.wikidata.org/wiki/Q2994424","display_name":"Consensus","level":3,"score":0.49036359786987305},{"id":"https://openalex.org/C2983222225","wikidata":"https://www.wikidata.org/wiki/Q2994424","display_name":"Consensus algorithm","level":2,"score":0.4819321632385254},{"id":"https://openalex.org/C141513077","wikidata":"https://www.wikidata.org/wiki/Q378542","display_name":"Independent and identically distributed random variables","level":3,"score":0.4362577795982361},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.42241644859313965},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.41429173946380615},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.4123995900154114},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.366630494594574},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3341982364654541},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3302815556526184},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32757335901260376},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.29487982392311096},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23564013838768005},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.21747282147407532},{"id":"https://openalex.org/C41550386","wikidata":"https://www.wikidata.org/wiki/Q529909","display_name":"Multi-agent system","level":2,"score":0.1998889446258545},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.12954893708229065},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.10964199900627136},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08634546399116516},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2009.5399996","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5399996","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W90928530","https://openalex.org/W155991238","https://openalex.org/W1528184823","https://openalex.org/W1964647857","https://openalex.org/W1971603612","https://openalex.org/W1978703803","https://openalex.org/W1988336888","https://openalex.org/W2010444838","https://openalex.org/W2015410655","https://openalex.org/W2018800107","https://openalex.org/W2019312235","https://openalex.org/W2032803680","https://openalex.org/W2053769764","https://openalex.org/W2056176510","https://openalex.org/W2060203271","https://openalex.org/W2099175737","https://openalex.org/W2104513914","https://openalex.org/W2107396783","https://openalex.org/W2115428923","https://openalex.org/W2119682789","https://openalex.org/W2121039643","https://openalex.org/W2122093006","https://openalex.org/W2122469751","https://openalex.org/W2125668987","https://openalex.org/W2134252677","https://openalex.org/W2148995214","https://openalex.org/W2150312211","https://openalex.org/W2155551190","https://openalex.org/W2160643434","https://openalex.org/W2161141257","https://openalex.org/W2165744313","https://openalex.org/W2168132433","https://openalex.org/W2173639595","https://openalex.org/W2576544140","https://openalex.org/W4234406933","https://openalex.org/W4247555059","https://openalex.org/W6603785738","https://openalex.org/W6606346145"],"related_works":["https://openalex.org/W1940417675","https://openalex.org/W2106670435","https://openalex.org/W1567439243","https://openalex.org/W2246375794","https://openalex.org/W3201708707","https://openalex.org/W2034250407","https://openalex.org/W2167425623","https://openalex.org/W2916913908","https://openalex.org/W3046732854","https://openalex.org/W2155168782"],"abstract_inverted_index":{"We":[0],"study":[1],"consensus":[2,83,136],"in":[3,46,105,191],"networks":[4],"of":[5,49,58,101,109,112,115,137,154,161],"multiagents":[6],"with":[7,65,73,187],"stochastically":[8,74],"switching":[9,13,75],"topologies,":[10],"where":[11],"the":[12,26,34,47,93,99,106,110,113,116,138,141,152,162,175,188],"topologies":[14,76,118],"are":[15,84],"described":[16],"as":[17,37],"an":[18],"adapted":[19],"process,":[20],"a":[21,55,71,102,147,155],"rather":[22],"general":[23],"process":[24,32,36,177],"including":[25],"independent":[27],"and":[28,33,89,178],"identically":[29],"distributed":[30],"(i.i.d.)":[31],"Markov":[35,180],"special":[38],"cases.":[39,91],"First,":[40],"motivated":[41],"by":[42],"some":[43,125,168],"works":[44],"done":[45],"field":[48],"stochastic":[50,173],"stability":[51],"theory,":[52],"we":[53,96,144,165,183],"introduce":[54],"new":[56],"concept":[57],"consensus,":[59],"\u00bfL":[60],"<sub":[61,80,133],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[62,81,134],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">p</sub>":[63,82,135],"consensus\u00bf":[64],"p\u00bf1.":[66],"Then":[67],"sufficient":[68,130,149],"conditions":[69],"for":[70,86,124,131,170],"network":[72,117],"to":[77],"reach":[78],"L":[79,132],"derived":[85],"both":[87],"discrete-time":[88,94],"continuous-time":[90,142],"In":[92,140],"case,":[95,143],"show":[97],"that":[98],"existence":[100,153],"spanning":[103,156],"tree":[104],"conditional":[107],"expectation":[108],"union":[111],"graphes":[114],"across":[119],"each":[120],"T-length":[121],"time":[122],"interval":[123],"T":[126],">":[127],"0":[128],"is":[129],"network.":[139],"also":[145,166],"give":[146,167],"similar":[148],"condition":[150],"involving":[151],"tree.":[157],"As":[158],"direct":[159],"consequences":[160],"main":[163],"results":[164,186,189],"corollaries":[169],"two":[171],"important":[172],"processes:":[174],"i.i.d.":[176],"homogenous":[179],"process.":[181],"Moreover,":[182],"compare":[184],"our":[185],"existing":[190],"literatures.":[192]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
