{"id":"https://openalex.org/W2122469751","doi":"https://doi.org/10.1109/cdc.2007.4434408","title":"Necessary and sufficient conditions for consensus over random independent and identically distributed switching graphs","display_name":"Necessary and sufficient conditions for consensus over random independent and identically distributed switching graphs","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2122469751","doi":"https://doi.org/10.1109/cdc.2007.4434408","mag":"2122469751"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2007.4434408","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2007.4434408","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 46th IEEE Conference on Decision and Control","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/A5003432485","display_name":"Alireza Tahbaz-Salehi","orcid":"https://orcid.org/0000-0002-6860-1836"},"institutions":[{"id":"https://openalex.org/I922845939","display_name":"Philadelphia University","ror":"https://ror.org/03zzmyz63","country_code":"US","type":"education","lineage":["https://openalex.org/I922845939"]},{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Alireza Tahbaz-Salehi","raw_affiliation_strings":["GRASP Laboratory and Department of Electrical and Systems Engineering, University of Pennsylvania, Philadelphia, PA, USA","Pennsylvania, Univ., Philadelphia"],"affiliations":[{"raw_affiliation_string":"GRASP Laboratory and Department of Electrical and Systems Engineering, University of Pennsylvania, Philadelphia, PA, USA","institution_ids":["https://openalex.org/I79576946"]},{"raw_affiliation_string":"Pennsylvania, Univ., Philadelphia","institution_ids":["https://openalex.org/I922845939"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078288116","display_name":"Ali Jadbabaie","orcid":"https://orcid.org/0000-0003-1122-3069"},"institutions":[{"id":"https://openalex.org/I922845939","display_name":"Philadelphia University","ror":"https://ror.org/03zzmyz63","country_code":"US","type":"education","lineage":["https://openalex.org/I922845939"]},{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ali Jadbabaie","raw_affiliation_strings":["GRASP Laboratory and Department of Electrical and Systems Engineering, University of Pennsylvania, Philadelphia, PA, USA","Pennsylvania, Univ., Philadelphia"],"affiliations":[{"raw_affiliation_string":"GRASP Laboratory and Department of Electrical and Systems Engineering, University of Pennsylvania, Philadelphia, PA, USA","institution_ids":["https://openalex.org/I79576946"]},{"raw_affiliation_string":"Pennsylvania, Univ., Philadelphia","institution_ids":["https://openalex.org/I922845939"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5003432485"],"corresponding_institution_ids":["https://openalex.org/I79576946","https://openalex.org/I922845939"],"apc_list":null,"apc_paid":null,"fwci":2.567,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.90487556,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"1","issue":null,"first_page":"4209","last_page":"4214"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9991999864578247,"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":0.9991999864578247,"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":0.9883999824523926,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9753999710083008,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/independent-and-identically-distributed-random-variables","display_name":"Independent and identically distributed random variables","score":0.7197096347808838},{"id":"https://openalex.org/keywords/laplacian-matrix","display_name":"Laplacian matrix","score":0.6394568681716919},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5737746953964233},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.5696964859962463},{"id":"https://openalex.org/keywords/ergodicity","display_name":"Ergodicity","score":0.49045321345329285},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.4709121882915497},{"id":"https://openalex.org/keywords/random-graph","display_name":"Random graph","score":0.45201003551483154},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.43864360451698303},{"id":"https://openalex.org/keywords/consensus","display_name":"Consensus","score":0.4340236485004425},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.35220372676849365},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3488689064979553},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34095972776412964},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.31129640340805054},{"id":"https://openalex.org/keywords/multi-agent-system","display_name":"Multi-agent system","score":0.1567932367324829}],"concepts":[{"id":"https://openalex.org/C141513077","wikidata":"https://www.wikidata.org/wiki/Q378542","display_name":"Independent and identically distributed random variables","level":3,"score":0.7197096347808838},{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.6394568681716919},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5737746953964233},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.5696964859962463},{"id":"https://openalex.org/C201779956","wikidata":"https://www.wikidata.org/wiki/Q5426803","display_name":"Ergodicity","level":2,"score":0.49045321345329285},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.4709121882915497},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.45201003551483154},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43864360451698303},{"id":"https://openalex.org/C107107730","wikidata":"https://www.wikidata.org/wiki/Q2994424","display_name":"Consensus","level":3,"score":0.4340236485004425},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.35220372676849365},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3488689064979553},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34095972776412964},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.31129640340805054},{"id":"https://openalex.org/C41550386","wikidata":"https://www.wikidata.org/wiki/Q529909","display_name":"Multi-agent system","level":2,"score":0.1567932367324829},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2007.4434408","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2007.4434408","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 46th IEEE Conference on Decision and Control","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1500921805","https://openalex.org/W1547358136","https://openalex.org/W1998692453","https://openalex.org/W2009497213","https://openalex.org/W2018800107","https://openalex.org/W2098863504","https://openalex.org/W2101517602","https://openalex.org/W2107396783","https://openalex.org/W2115428923","https://openalex.org/W2122093006","https://openalex.org/W2137642864","https://openalex.org/W2139656224","https://openalex.org/W2165469059","https://openalex.org/W2165744313","https://openalex.org/W2576544140","https://openalex.org/W4244375620","https://openalex.org/W4247555059","https://openalex.org/W4250134109","https://openalex.org/W7061399666"],"related_works":["https://openalex.org/W2333731806","https://openalex.org/W4302766263","https://openalex.org/W3096674331","https://openalex.org/W2035787953","https://openalex.org/W1600295689","https://openalex.org/W3205451841","https://openalex.org/W2056359599","https://openalex.org/W2042408982","https://openalex.org/W2062542433","https://openalex.org/W1675099616"],"abstract_inverted_index":{"In":[0,38],"this":[1],"paper":[2],"we":[3,23,83,115],"consider":[4],"the":[5,39,46,50,80,86,96,99,102,138,141,146,151],"consensus":[6,35,125],"problem":[7],"for":[8,121,150],"stochastic":[9,19],"switched":[10,20],"linear":[11,21],"dynamical":[12],"systems.":[13],"For":[14,79,111],"discrete-":[15],"time":[16,55,67],"and":[17,26,75,95,106,118,129,145,153],"continuous-time":[18,81,154],"systems,":[22],"present":[24,116],"necessary":[25,117],"sufficient":[27,119],"conditions":[28,120,135],"under":[29],"which":[30],"such":[31,113],"systems":[32],"reach":[33],"a":[34,60,91],"almost":[36,122],"surely.":[37],"discrete-time":[40,152],"case,":[41,82],"our":[42],"assumption":[43],"is":[44,57,88],"that":[45,85],"underlying":[47],"graph":[48,62],"of":[49,65,101,140],"system":[51,103],"at":[52],"any":[53],"given":[54],"instance":[56],"derived":[58],"from":[59],"random":[61],"process,":[63],"independent":[64,105],"other":[66],"instances.":[68],"These":[69,132],"graphs":[70,97],"can":[71],"be":[72],"weighted,":[73],"directed":[74],"with":[76],"dependent":[77],"edges.":[78],"assume":[84],"switching":[87],"governed":[89],"by":[90],"Poisson":[92],"point":[93],"process":[94],"characterizing":[98],"topology":[100],"are":[104],"identically":[107],"distributed":[108],"over":[109],"time.":[110],"both":[112],"frameworks,":[114],"sure":[123],"asymptotic":[124],"using":[126],"simple":[127],"ergodicity":[128],"probabilistic":[130],"arguments.":[131],"easily":[133],"verifiable":[134],"depend":[136],"on":[137],"spectrum":[139],"average":[142,147],"weight":[143],"matrix":[144,149],"Laplacian":[148],"cases,":[155],"respectively.":[156]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
