{"id":"https://openalex.org/W4400944410","doi":"https://doi.org/10.1109/tcns.2024.3432950","title":"Consensus Protocol-Based Reachable Nodes in the Controllability of Directed Graphs","display_name":"Consensus Protocol-Based Reachable Nodes in the Controllability of Directed Graphs","publication_year":2024,"publication_date":"2024-07-24","ids":{"openalex":"https://openalex.org/W4400944410","doi":"https://doi.org/10.1109/tcns.2024.3432950"},"language":"en","primary_location":{"id":"doi:10.1109/tcns.2024.3432950","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcns.2024.3432950","pdf_url":null,"source":{"id":"https://openalex.org/S2502544478","display_name":"IEEE Transactions on Control of Network Systems","issn_l":"2325-5870","issn":["2325-5870","2372-2533"],"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 Control of Network 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/A5019126010","display_name":"Jijun Qu","orcid":"https://orcid.org/0000-0001-6248-4491"},"institutions":[{"id":"https://openalex.org/I108688024","display_name":"Qingdao University","ror":"https://ror.org/021cj6z65","country_code":"CN","type":"education","lineage":["https://openalex.org/I108688024"]},{"id":"https://openalex.org/I143413998","display_name":"Qingdao University of Science and Technology","ror":"https://ror.org/041j8js14","country_code":"CN","type":"education","lineage":["https://openalex.org/I143413998"]},{"id":"https://openalex.org/I80143920","display_name":"Shandong University of Science and Technology","ror":"https://ror.org/04gtjhw98","country_code":"CN","type":"education","lineage":["https://openalex.org/I80143920"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jijun Qu","raw_affiliation_strings":["Institute of Complexity Science, College of Automation, Qingdao University and Shandong Key Laboratory of Industrial Control Technology, Qingdao, China","Institute of Complexity Science, College of Automation, Qingdao University, China"],"raw_orcid":"https://orcid.org/0000-0001-6248-4491","affiliations":[{"raw_affiliation_string":"Institute of Complexity Science, College of Automation, Qingdao University and Shandong Key Laboratory of Industrial Control Technology, Qingdao, China","institution_ids":["https://openalex.org/I143413998","https://openalex.org/I80143920","https://openalex.org/I108688024"]},{"raw_affiliation_string":"Institute of Complexity Science, College of Automation, Qingdao University, China","institution_ids":["https://openalex.org/I108688024"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063831056","display_name":"Zhijian Ji","orcid":"https://orcid.org/0000-0002-9666-2572"},"institutions":[{"id":"https://openalex.org/I108688024","display_name":"Qingdao University","ror":"https://ror.org/021cj6z65","country_code":"CN","type":"education","lineage":["https://openalex.org/I108688024"]},{"id":"https://openalex.org/I143413998","display_name":"Qingdao University of Science and Technology","ror":"https://ror.org/041j8js14","country_code":"CN","type":"education","lineage":["https://openalex.org/I143413998"]},{"id":"https://openalex.org/I80143920","display_name":"Shandong University of Science and Technology","ror":"https://ror.org/04gtjhw98","country_code":"CN","type":"education","lineage":["https://openalex.org/I80143920"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhijian Ji","raw_affiliation_strings":["Institute of Complexity Science, College of Automation, Qingdao University and Shandong Key Laboratory of Industrial Control Technology, Qingdao, China","Institute of Complexity Science, College of Automation, Qingdao University, China"],"raw_orcid":"https://orcid.org/0000-0002-9666-2572","affiliations":[{"raw_affiliation_string":"Institute of Complexity Science, College of Automation, Qingdao University and Shandong Key Laboratory of Industrial Control Technology, Qingdao, China","institution_ids":["https://openalex.org/I143413998","https://openalex.org/I80143920","https://openalex.org/I108688024"]},{"raw_affiliation_string":"Institute of Complexity Science, College of Automation, Qingdao University, China","institution_ids":["https://openalex.org/I108688024"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038161363","display_name":"Jirong Wang","orcid":"https://orcid.org/0000-0003-1136-0928"},"institutions":[{"id":"https://openalex.org/I108688024","display_name":"Qingdao University","ror":"https://ror.org/021cj6z65","country_code":"CN","type":"education","lineage":["https://openalex.org/I108688024"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jirong Wang","raw_affiliation_strings":["College of Mechanical and Electrical Engineering, Qingdao University, Qingdao, China","College of Mechanical and Electrical Engineering, Qingdao University, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mechanical and Electrical Engineering, Qingdao University, Qingdao, China","institution_ids":["https://openalex.org/I108688024"]},{"raw_affiliation_string":"College of Mechanical and Electrical Engineering, Qingdao University, China","institution_ids":["https://openalex.org/I108688024"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030197645","display_name":"Yungang Liu","orcid":"https://orcid.org/0000-0002-4753-9578"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yungang Liu","raw_affiliation_strings":["School of Control Science and Engineering, Shandong University, Jinan, China","School of Control Science and Engineering, Shandong University, China"],"raw_orcid":"https://orcid.org/0000-0002-4753-9578","affiliations":[{"raw_affiliation_string":"School of Control Science and Engineering, Shandong University, Jinan, China","institution_ids":["https://openalex.org/I154099455"]},{"raw_affiliation_string":"School of Control Science and Engineering, Shandong University, China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100754706","display_name":"Chong Lin","orcid":"https://orcid.org/0000-0002-7888-303X"},"institutions":[{"id":"https://openalex.org/I108688024","display_name":"Qingdao University","ror":"https://ror.org/021cj6z65","country_code":"CN","type":"education","lineage":["https://openalex.org/I108688024"]},{"id":"https://openalex.org/I143413998","display_name":"Qingdao University of Science and Technology","ror":"https://ror.org/041j8js14","country_code":"CN","type":"education","lineage":["https://openalex.org/I143413998"]},{"id":"https://openalex.org/I80143920","display_name":"Shandong University of Science and Technology","ror":"https://ror.org/04gtjhw98","country_code":"CN","type":"education","lineage":["https://openalex.org/I80143920"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chong Lin","raw_affiliation_strings":["Institute of Complexity Science, College of Automation, Qingdao University and Shandong Key Laboratory of Industrial Control Technology, Qingdao, China","Institute of Complexity Science, College of Automation, Qingdao University, China"],"raw_orcid":"https://orcid.org/0000-0002-7888-303X","affiliations":[{"raw_affiliation_string":"Institute of Complexity Science, College of Automation, Qingdao University and Shandong Key Laboratory of Industrial Control Technology, Qingdao, China","institution_ids":["https://openalex.org/I143413998","https://openalex.org/I80143920","https://openalex.org/I108688024"]},{"raw_affiliation_string":"Institute of Complexity Science, College of Automation, Qingdao University, China","institution_ids":["https://openalex.org/I108688024"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3122,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.57063984,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"12","issue":"1","first_page":"96","last_page":"103"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10772","display_name":"Distributed systems and fault tolerance","score":0.9969000220298767,"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/T10772","display_name":"Distributed systems and fault tolerance","score":0.9969000220298767,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9373000264167786,"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/T11478","display_name":"Caching and Content Delivery","score":0.9093000292778015,"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/controllability","display_name":"Controllability","score":0.8747962117195129},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6513022184371948},{"id":"https://openalex.org/keywords/protocol","display_name":"Protocol (science)","score":0.6479474306106567},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.4823741018772125},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.43664830923080444},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.34527191519737244},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23673194646835327},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.12399771809577942}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.8747962117195129},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6513022184371948},{"id":"https://openalex.org/C2780385302","wikidata":"https://www.wikidata.org/wiki/Q367158","display_name":"Protocol (science)","level":3,"score":0.6479474306106567},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.4823741018772125},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.43664830923080444},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.34527191519737244},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23673194646835327},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.12399771809577942},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"score":0.0},{"id":"https://openalex.org/C204787440","wikidata":"https://www.wikidata.org/wiki/Q188504","display_name":"Alternative medicine","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcns.2024.3432950","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcns.2024.3432950","pdf_url":null,"source":{"id":"https://openalex.org/S2502544478","display_name":"IEEE Transactions on Control of Network Systems","issn_l":"2325-5870","issn":["2325-5870","2372-2533"],"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 Control of Network Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3643591823","display_name":null,"funder_award_id":"62373205","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5359776298","display_name":null,"funder_award_id":"62033007","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"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1982947074","https://openalex.org/W2046830398","https://openalex.org/W2126826802","https://openalex.org/W2137606072","https://openalex.org/W2140623975","https://openalex.org/W2162496869","https://openalex.org/W2315383458","https://openalex.org/W2511127296","https://openalex.org/W2592698596","https://openalex.org/W2601563346","https://openalex.org/W2752891763","https://openalex.org/W2801653436","https://openalex.org/W2803623613","https://openalex.org/W2946194484","https://openalex.org/W2958380953","https://openalex.org/W2972044251","https://openalex.org/W2980899699","https://openalex.org/W2981825267","https://openalex.org/W2984237520","https://openalex.org/W3005135630","https://openalex.org/W3085204120","https://openalex.org/W3127883886","https://openalex.org/W3168453289","https://openalex.org/W3206837416","https://openalex.org/W4285585325"],"related_works":["https://openalex.org/W2036697162","https://openalex.org/W2140812588","https://openalex.org/W2411113819","https://openalex.org/W2072887367","https://openalex.org/W2332386680","https://openalex.org/W2561315646","https://openalex.org/W2248621902","https://openalex.org/W2003779889","https://openalex.org/W2164760767","https://openalex.org/W4205698120"],"abstract_inverted_index":{"In":[0],"this":[1,32,75],"article,":[2],"we":[3],"discuss":[4],"the":[5,40,78,94,121,145,161],"controllability":[6,41,57,140],"of":[7,80,101,163],"reachable":[8,21,102,107,110,122,128,146],"nodes":[9,46,61,82,90,103,111],"in":[10,39,74],"directed":[11,69],"graphs":[12,70],"over":[13],"consensus":[14],"protocol.":[15],"A":[16,64,98],"node":[17,22],"is":[18,25,58,71,96,104,124,141,152,157],"called":[19,105],"a":[20,26,54,106,127,131,134,149,154],"if":[23,117,120,144],"there":[24,86],"path":[27],"from":[28],"an":[29],"input":[30],"to":[31,49,114,159],"node,":[33],"otherwise":[34],"unreachable":[35,45,92],"node.":[36],"The":[37],"rows":[38],"matrix":[42],"associated":[43],"with":[44,130,148],"are":[47,62,83,87,112],"shown":[48],"be":[50,115],"zero":[51],"rows,":[52],"and":[53,85,118,136],"prerequisite":[55],"for":[56,66,139],"that":[59],"all":[60,81],"reachable.":[63],"method":[65,156],"constructing":[67],"controllable":[68,116,164],"provided":[72],"later":[73],"article.":[76],"If":[77],"in-degrees":[79],"distinct,":[84],"neither":[88],"sibling":[89],"nor":[91],"nodes,":[93],"system":[95],"controllable.":[97,125],"subsystem":[99,123,129,147],"composed":[100],"subsystem.":[108],"All":[109],"proved":[113],"only":[119],"For":[126],"tree":[132,150],"graph,":[133],"necessary":[135],"sufficient":[137],"condition":[138],"given.":[142],"Besides,":[143],"graph":[151],"uncontrollable,":[153],"graphical":[155],"given":[158],"identify":[160],"dimension":[162],"subspace.":[165]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
