{"id":"https://openalex.org/W3016591208","doi":"https://doi.org/10.1109/access.2020.2988141","title":"New Results of Multi-Agent Controllability Under Equitable Partitions","display_name":"New Results of Multi-Agent Controllability Under Equitable Partitions","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3016591208","doi":"https://doi.org/10.1109/access.2020.2988141","mag":"3016591208"},"language":"en","primary_location":{"id":"doi:10.1109/access.2020.2988141","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.2988141","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09068211.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09068211.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Yanhong Lou","orcid":"https://orcid.org/0000-0001-7186-8139"},"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":"Yanhong Lou","raw_affiliation_strings":["Institute of Complexity Science, College of Automation, Qingdao University, Qingdao, China"],"raw_orcid":"https://orcid.org/0000-0001-7186-8139","affiliations":[{"raw_affiliation_string":"Institute of Complexity Science, College of Automation, Qingdao University, Qingdao, 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"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhijian Ji","raw_affiliation_strings":["Institute of Complexity Science, College of Automation, Qingdao University, Qingdao, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Complexity Science, College of Automation, Qingdao University, Qingdao, China","institution_ids":["https://openalex.org/I108688024"]}]},{"author_position":"last","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"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jijun Qu","raw_affiliation_strings":["Institute of Complexity Science, College of Automation, Qingdao University, Qingdao, China"],"raw_orcid":"https://orcid.org/0000-0001-6248-4491","affiliations":[{"raw_affiliation_string":"Institute of Complexity Science, College of Automation, Qingdao University, Qingdao, China","institution_ids":["https://openalex.org/I108688024"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":2.269,"has_fulltext":true,"cited_by_count":17,"citation_normalized_percentile":{"value":0.88655469,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"8","issue":null,"first_page":"73523","last_page":"73535"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9998999834060669,"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":0.9998999834060669,"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/T11896","display_name":"Opportunistic and Delay-Tolerant Networks","score":0.9951000213623047,"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/T10246","display_name":"Mobile Ad Hoc Networks","score":0.9934999942779541,"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":0.9651813507080078},{"id":"https://openalex.org/keywords/adjacency-matrix","display_name":"Adjacency matrix","score":0.7291701436042786},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.6606225967407227},{"id":"https://openalex.org/keywords/network-controllability","display_name":"Network controllability","score":0.6281797885894775},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.6108359694480896},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.5961452722549438},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.5796869397163391},{"id":"https://openalex.org/keywords/quotient","display_name":"Quotient","score":0.509781539440155},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49285197257995605},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4881196916103363},{"id":"https://openalex.org/keywords/graph-theory","display_name":"Graph theory","score":0.4799407124519348},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4598233997821808},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4242219030857086},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.41982191801071167},{"id":"https://openalex.org/keywords/controllability-gramian","display_name":"Controllability Gramian","score":0.4124116003513336},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32335174083709717},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.20824751257896423},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.14242583513259888},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07437524199485779}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.9651813507080078},{"id":"https://openalex.org/C180356752","wikidata":"https://www.wikidata.org/wiki/Q727035","display_name":"Adjacency matrix","level":3,"score":0.7291701436042786},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.6606225967407227},{"id":"https://openalex.org/C41982775","wikidata":"https://www.wikidata.org/wiki/Q7000977","display_name":"Network controllability","level":4,"score":0.6281797885894775},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.6108359694480896},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5961452722549438},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.5796869397163391},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.509781539440155},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49285197257995605},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4881196916103363},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.4799407124519348},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4598233997821808},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4242219030857086},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.41982191801071167},{"id":"https://openalex.org/C143461762","wikidata":"https://www.wikidata.org/wiki/Q83587","display_name":"Controllability Gramian","level":3,"score":0.4124116003513336},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32335174083709717},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.20824751257896423},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.14242583513259888},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07437524199485779},{"id":"https://openalex.org/C117045392","wikidata":"https://www.wikidata.org/wiki/Q4899215","display_name":"Betweenness centrality","level":3,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C53811970","wikidata":"https://www.wikidata.org/wiki/Q5062194","display_name":"Centrality","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2020.2988141","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.2988141","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09068211.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:ac7f5dc390ec4134b489b4c0c934410b","is_oa":true,"landing_page_url":"https://doaj.org/article/ac7f5dc390ec4134b489b4c0c934410b","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 8, Pp 73523-73535 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2020.2988141","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.2988141","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09068211.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2283562171","display_name":null,"funder_award_id":"61903210","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3685445217","display_name":null,"funder_award_id":"61873136","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6919317117","display_name":null,"funder_award_id":"JQ201419","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8319193820","display_name":null,"funder_award_id":"61603288","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":55,"referenced_works":["https://openalex.org/W1864806140","https://openalex.org/W1963649370","https://openalex.org/W1982947074","https://openalex.org/W1985952348","https://openalex.org/W1994368767","https://openalex.org/W1995688087","https://openalex.org/W1999823604","https://openalex.org/W2014706340","https://openalex.org/W2022806502","https://openalex.org/W2033800890","https://openalex.org/W2046830398","https://openalex.org/W2062745455","https://openalex.org/W2077076780","https://openalex.org/W2089947584","https://openalex.org/W2106658884","https://openalex.org/W2113189361","https://openalex.org/W2126826802","https://openalex.org/W2140623975","https://openalex.org/W2140751720","https://openalex.org/W2145574455","https://openalex.org/W2156488704","https://openalex.org/W2205857407","https://openalex.org/W2290598907","https://openalex.org/W2391485992","https://openalex.org/W2474202233","https://openalex.org/W2490503364","https://openalex.org/W2511127296","https://openalex.org/W2592442839","https://openalex.org/W2592698596","https://openalex.org/W2608101173","https://openalex.org/W2624130076","https://openalex.org/W2729674125","https://openalex.org/W2749644855","https://openalex.org/W2755424168","https://openalex.org/W2765409557","https://openalex.org/W2904413495","https://openalex.org/W2905946145","https://openalex.org/W2909993591","https://openalex.org/W2922262644","https://openalex.org/W2944230974","https://openalex.org/W2945549728","https://openalex.org/W2963420183","https://openalex.org/W2963911260","https://openalex.org/W2969714323","https://openalex.org/W2972970646","https://openalex.org/W2983963245","https://openalex.org/W3003152123","https://openalex.org/W3007565760","https://openalex.org/W3008058795","https://openalex.org/W3013335423","https://openalex.org/W3105881406","https://openalex.org/W6639114211","https://openalex.org/W6773405477","https://openalex.org/W6774672372","https://openalex.org/W6982109840"],"related_works":["https://openalex.org/W3011591466","https://openalex.org/W2907471383","https://openalex.org/W1994014931","https://openalex.org/W3113298909","https://openalex.org/W2585974427","https://openalex.org/W4206193827","https://openalex.org/W3101467015","https://openalex.org/W2044791747","https://openalex.org/W2912925551","https://openalex.org/W2139794868"],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2],"the":[3,44,48,62,65,75,79,93,96,102,109,115,121],"controllability":[4,15,49,69,99,124],"of":[5,25,50,54,64,81,98,101,111,123],"leader-follower":[6],"multi-agent":[7,45],"systems":[8],"under":[9],"fixed":[10],"topology.":[11],"The":[12],"relationship":[13,94],"between":[14,95],"and":[16,61,105,126],"information":[17],"communication":[18],"topologies":[19],"is":[20,40,57,71,118],"characterized":[21],"by":[22,89],"taking":[23,33],"advantage":[24],"equitable":[26,66],"partitions.":[27],"Firstly,":[28],"for":[29,74],"one":[30],"non-trivial":[31,112],"cell":[32],"leaders":[34],"role,":[35],"a":[36],"graph":[37,104],"theory":[38],"method":[39],"proposed":[41],"to":[42,86],"determine":[43],"controllability.":[46],"Secondly,":[47],"undirected":[51],"graphs":[52,83],"consisting":[53],"four":[55],"nodes":[56],"analyzed":[58,119],"in":[59,68],"detail,":[60],"limitation":[63],"partition":[67],"analysis":[70],"pointed":[72],"out":[73],"first":[76],"time.":[77],"Thirdly,":[78],"results":[80],"four-node":[82],"are":[84],"extended":[85],"general":[87],"topologies,":[88],"which,":[90],"we":[91],"reveal":[92],"ranks":[97],"matrix":[100,125],"quotient":[103],"original":[106],"graph.":[107],"Finally,":[108],"effect":[110],"cells":[113],"on":[114],"controllable":[116],"subspace":[117],"from":[120],"viewpoint":[122],"eigenvector.":[127]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
