{"id":"https://openalex.org/W2315383458","doi":"https://doi.org/10.1109/tac.2016.2546180","title":"Graph Distances and Controllability of Networks","display_name":"Graph Distances and Controllability of Networks","publication_year":2016,"publication_date":"2016-03-23","ids":{"openalex":"https://openalex.org/W2315383458","doi":"https://doi.org/10.1109/tac.2016.2546180","mag":"2315383458"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2016.2546180","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2016.2546180","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1608.04309","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"A. Y. Yazicioglu","orcid":"https://orcid.org/0000-0001-6957-6831"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"A. Y. Yazicioglu","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-6957-6831","affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Waseem Abbas","orcid":null},"institutions":[{"id":"https://openalex.org/I200719446","display_name":"Vanderbilt University","ror":"https://ror.org/02vm5rt34","country_code":"US","type":"education","lineage":["https://openalex.org/I200719446"]},{"id":"https://openalex.org/I4210160740","display_name":"Integrated Software (United States)","ror":"https://ror.org/05dp7m259","country_code":"US","type":"company","lineage":["https://openalex.org/I4210160740"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Waseem Abbas","raw_affiliation_strings":["Institute for Software Integrated Systems, Vanderbilt University, Nashville, TN, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Software Integrated Systems, Vanderbilt University, Nashville, TN, USA","institution_ids":["https://openalex.org/I4210160740","https://openalex.org/I200719446"]}]},{"author_position":"last","author":{"id":null,"display_name":"Magnus Egerstedt","orcid":null},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Magnus Egerstedt","raw_affiliation_strings":["School of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA, USA","institution_ids":["https://openalex.org/I130701444"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.6127,"has_fulltext":true,"cited_by_count":66,"citation_normalized_percentile":{"value":0.96094296,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"61","issue":"12","first_page":"4125","last_page":"4130"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.670199990272522,"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":0.670199990272522,"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":0.16609999537467957,"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":0.03530000150203705,"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/controllability","display_name":"Controllability","score":0.960099995136261},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6617000102996826},{"id":"https://openalex.org/keywords/network-controllability","display_name":"Network controllability","score":0.6335999965667725},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.6207000017166138},{"id":"https://openalex.org/keywords/graph-theory","display_name":"Graph theory","score":0.4602999985218048},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.453900009393692},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.3930000066757202},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.3831000030040741}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.960099995136261},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6617000102996826},{"id":"https://openalex.org/C41982775","wikidata":"https://www.wikidata.org/wiki/Q7000977","display_name":"Network controllability","level":4,"score":0.6335999965667725},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.6207000017166138},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4894999861717224},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.4602999985218048},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.453900009393692},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.3930000066757202},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.3831000030040741},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37869998812675476},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36910000443458557},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.36480000615119934},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.3395000100135803},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.33869999647140503},{"id":"https://openalex.org/C38754835","wikidata":"https://www.wikidata.org/wiki/Q2003238","display_name":"Strongly connected component","level":2,"score":0.325300008058548},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3084000051021576},{"id":"https://openalex.org/C76444178","wikidata":"https://www.wikidata.org/wiki/Q72897900","display_name":"Connectivity","level":3,"score":0.3077000081539154},{"id":"https://openalex.org/C36299963","wikidata":"https://www.wikidata.org/wiki/Q1369844","display_name":"Observability","level":2,"score":0.2851000130176544},{"id":"https://openalex.org/C34947359","wikidata":"https://www.wikidata.org/wiki/Q665189","display_name":"Complex network","level":2,"score":0.2702000141143799},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2678000032901764},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.25540000200271606},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2502000033855438}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tac.2016.2546180","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2016.2546180","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1608.04309","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1608.04309","pdf_url":"https://arxiv.org/pdf/1608.04309","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1608.04309","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1608.04309","pdf_url":"https://arxiv.org/pdf/1608.04309","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2315383458.pdf","grobid_xml":"https://content.openalex.org/works/W2315383458.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W1963649370","https://openalex.org/W1968817778","https://openalex.org/W1971763911","https://openalex.org/W1977594883","https://openalex.org/W1985952348","https://openalex.org/W1990032525","https://openalex.org/W2007842057","https://openalex.org/W2011638714","https://openalex.org/W2042973636","https://openalex.org/W2043883312","https://openalex.org/W2046830398","https://openalex.org/W2049708951","https://openalex.org/W2050096026","https://openalex.org/W2064006648","https://openalex.org/W2100145912","https://openalex.org/W2101420429","https://openalex.org/W2106308430","https://openalex.org/W2109583010","https://openalex.org/W2140623975","https://openalex.org/W2143118341","https://openalex.org/W2165744313","https://openalex.org/W2296217093","https://openalex.org/W2331416186"],"related_works":[],"abstract_inverted_index":{"In":[0],"this":[1],"technical":[2],"note,":[3],"we":[4,55,105],"study":[5],"the":[6,22,32,35,41,47,51,63,66,94,108,126],"controllability":[7,42,67],"of":[8,31,43,65,88,119],"diffusively":[9],"coupled":[10],"networks":[11],"from":[12],"a":[13,57,102,116],"graph":[14,48,58],"theoretic":[15],"perspective.":[16],"We":[17],"consider":[18],"leader-follower":[19],"networks,":[20],"where":[21],"external":[23],"control":[24],"inputs":[25],"are":[26,129],"injected":[27],"to":[28,46,78,114],"only":[29],"some":[30],"agents,":[33],"namely":[34],"leaders.":[36,89],"Our":[37],"main":[38],"result":[39],"relates":[40],"such":[44],"systems":[45,79],"distances":[49],"between":[50],"agents.":[52],"More":[53],"specifically,":[54],"present":[56,106],"topological":[59],"lower":[60,70,95],"bound":[61,71,96,110],"on":[62],"rank":[64],"matrix.":[68],"This":[69],"is":[72,76,97],"tight,":[73],"and":[74,86],"it":[75],"applicable":[77],"with":[80],"arbitrary":[81],"network":[82],"topologies,":[83],"coupling":[84,127],"weights,":[85],"number":[87],"An":[90],"algorithm":[91],"for":[92,121],"computing":[93],"also":[98],"provided.":[99],"Furthermore,":[100],"as":[101],"prominent":[103],"application,":[104],"how":[107],"proposed":[109],"can":[111],"be":[112],"utilized":[113],"select":[115],"minimal":[117],"set":[118],"leaders":[120],"achieving":[122],"controllability,":[123],"even":[124],"when":[125],"weights":[128],"unknown.":[130]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":13},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":11},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":2}],"updated_date":"2026-06-07T08:38:57.713557","created_date":"2016-06-24T00:00:00"}