{"id":"https://openalex.org/W2074486142","doi":"https://doi.org/10.1109/cdc.2014.7039450","title":"A graph-theoretic classification for the controllability of the Laplacian leader-follower dynamics","display_name":"A graph-theoretic classification for the controllability of the Laplacian leader-follower dynamics","publication_year":2014,"publication_date":"2014-12-01","ids":{"openalex":"https://openalex.org/W2074486142","doi":"https://doi.org/10.1109/cdc.2014.7039450","mag":"2074486142"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2014.7039450","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2014.7039450","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"53rd IEEE Conference on Decision and Control","raw_type":"proceedings-article"},"type":"conference-paper","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/A5012934105","display_name":"Cesar O. Aguilar","orcid":"https://orcid.org/0000-0001-6965-6460"},"institutions":[{"id":"https://openalex.org/I118839592","display_name":"California State University, Bakersfield","ror":"https://ror.org/019ts0j55","country_code":"US","type":"education","lineage":["https://openalex.org/I118839592"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Cesar O. Aguilar","raw_affiliation_strings":["Department of Mathematics, California State University, Bakersfield, CA, USA","Department of Mathematics, California State University, Bakersfield, 93311, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, California State University, Bakersfield, CA, USA","institution_ids":["https://openalex.org/I118839592"]},{"raw_affiliation_string":"Department of Mathematics, California State University, Bakersfield, 93311, USA","institution_ids":["https://openalex.org/I118839592"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022064746","display_name":"Bahman Gharesifard","orcid":"https://orcid.org/0000-0003-1495-3489"},"institutions":[{"id":"https://openalex.org/I204722609","display_name":"Queen's University","ror":"https://ror.org/02y72wh86","country_code":"CA","type":"education","lineage":["https://openalex.org/I204722609"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Bahman Gharesifard","raw_affiliation_strings":["Department of Mathematics and Statistics, Queen's University, Kingston, ON, Canada","Department of Mathematics and Statistics, Queen\u05f3s University, Kingston, ON K7L 3N6, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Queen's University, Kingston, ON, Canada","institution_ids":["https://openalex.org/I204722609"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, Queen\u05f3s University, Kingston, ON K7L 3N6, Canada","institution_ids":["https://openalex.org/I204722609"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.276,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.47659663,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"619","last_page":"624"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9977999925613403,"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":0.9922999739646912,"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/controllability","display_name":"Controllability","score":0.9122394919395447},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.6472631692886353},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5654927492141724},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.5552946329116821},{"id":"https://openalex.org/keywords/laplacian-matrix","display_name":"Laplacian matrix","score":0.5010342597961426},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4948415160179138},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.46177661418914795},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42025452852249146},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3828965127468109},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3507268726825714},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3341379761695862},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1979212462902069},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.09836101531982422},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08465790748596191}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.9122394919395447},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.6472631692886353},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5654927492141724},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.5552946329116821},{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.5010342597961426},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4948415160179138},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.46177661418914795},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42025452852249146},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3828965127468109},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3507268726825714},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3341379761695862},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1979212462902069},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.09836101531982422},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08465790748596191},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.0},{"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.2014.7039450","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2014.7039450","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"53rd IEEE Conference on Decision and Control","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":16,"referenced_works":["https://openalex.org/W247697463","https://openalex.org/W1515707356","https://openalex.org/W1963649370","https://openalex.org/W1977594883","https://openalex.org/W2003949298","https://openalex.org/W2014706340","https://openalex.org/W2041176939","https://openalex.org/W2077076780","https://openalex.org/W2088872141","https://openalex.org/W2126826802","https://openalex.org/W2165818895","https://openalex.org/W2168109446","https://openalex.org/W2798588639","https://openalex.org/W4238591275","https://openalex.org/W4248209491","https://openalex.org/W4250151054"],"related_works":["https://openalex.org/W2570009360","https://openalex.org/W3004345458","https://openalex.org/W2883186538","https://openalex.org/W2051180862","https://openalex.org/W1976439244","https://openalex.org/W2402951419","https://openalex.org/W2896947499","https://openalex.org/W2362501828","https://openalex.org/W4244587941","https://openalex.org/W4223455993"],"abstract_inverted_index":{"In":[0,52],"this":[1,78,85],"paper,":[2],"we":[3],"revisit":[4],"the":[5,9,15,23,41,55,58,66,69,82,90,97,100,106,113,124,140],"controllability":[6,32,62],"problem":[7],"for":[8,34],"Laplacian":[10,35],"based":[11,36],"leader-follower":[12,37],"dynamics":[13],"with":[14],"aim":[16],"of":[17,30,43,57,68,71,92,115,123,126,134,142,146],"addressing":[18],"some":[19],"fundamental":[20],"gaps":[21],"within":[22],"existing":[24],"literature.":[25],"We":[26,109,129],"introduce":[27],"a":[28,120,131],"notion":[29],"graph":[31],"classes":[33,42,63],"control":[38,72,101],"systems,":[39],"namely,":[40],"essentially":[44,116],"controllable,":[45],"completely":[46,135],"uncontrollable,":[47],"and":[48],"conditionally":[49],"controllable":[50,117],"graphs.":[51,128],"addition":[53],"to":[54],"topology":[56],"underlying":[59],"graph,":[60],"our":[61,154],"rely":[64],"on":[65,81],"richness":[67],"set":[70,86,91],"vectors.":[73],"The":[74],"particular":[75],"focus":[76],"in":[77],"paper":[79],"is":[80,87,103,119],"case":[83,98],"where":[84],"chosen":[88],"as":[89],"binary":[93],"vectors,":[94],"which":[95],"captures":[96],"when":[99],"signal":[102],"broadcasted":[104],"by":[105],"leader":[107],"nodes.":[108],"first":[110],"prove":[111],"that":[112],"class":[114,125,133,141],"graphs":[118,145],"strict":[121],"subset":[122],"asymmetric":[127,137],"provide":[130],"non-trivial":[132],"uncontrollable":[136],"graphs,":[138],"namely":[139],"large":[143],"block":[144],"Steiner":[147],"triple":[148],"systems.":[149],"Several":[150],"constructive":[151],"examples":[152],"demonstrate":[153],"results.":[155]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
