{"id":"https://openalex.org/W3045567277","doi":"https://doi.org/10.23919/acc45564.2020.9148002","title":"On New Laplacian Matrix with a User-Assigned Nullspace in Distributed Control of Multiagent Systems","display_name":"On New Laplacian Matrix with a User-Assigned Nullspace in Distributed Control of Multiagent Systems","publication_year":2020,"publication_date":"2020-07-01","ids":{"openalex":"https://openalex.org/W3045567277","doi":"https://doi.org/10.23919/acc45564.2020.9148002","mag":"3045567277"},"language":"en","primary_location":{"id":"doi:10.23919/acc45564.2020.9148002","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc45564.2020.9148002","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 American Control Conference (ACC)","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/A5078403360","display_name":"Dzung Tran","orcid":"https://orcid.org/0000-0002-9524-9540"},"institutions":[{"id":"https://openalex.org/I1280414376","display_name":"United States Air Force Research Laboratory","ror":"https://ror.org/02e2egq70","country_code":"US","type":"facility","lineage":["https://openalex.org/I1280414376","https://openalex.org/I1330347796","https://openalex.org/I4210102105","https://openalex.org/I4389425425"]},{"id":"https://openalex.org/I2799950915","display_name":"Wright-Patterson Air Force Base","ror":"https://ror.org/0097e1k27","country_code":"US","type":"other","lineage":["https://openalex.org/I1330347796","https://openalex.org/I2799950915","https://openalex.org/I4210089612","https://openalex.org/I4210102105"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dzung Tran","raw_affiliation_strings":["Research Associate at Air Force Research Laboratories, WPAFB, OH, United States of America"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research Associate at Air Force Research Laboratories, WPAFB, OH, United States of America","institution_ids":["https://openalex.org/I1280414376","https://openalex.org/I2799950915"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004807234","display_name":"Tansel Yucelen","orcid":"https://orcid.org/0000-0003-1156-1877"},"institutions":[{"id":"https://openalex.org/I2613432","display_name":"University of South Florida","ror":"https://ror.org/032db5x82","country_code":"US","type":"education","lineage":["https://openalex.org/I2613432"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tansel Yucelen","raw_affiliation_strings":["Assistant Professor of the Mechanical Engineering Department and the Director of the Laboratory for Autonomy, Control, Information, and Systems (LACIS), University of South Florida, Tampa, Florida, United States of America"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Assistant Professor of the Mechanical Engineering Department and the Director of the Laboratory for Autonomy, Control, Information, and Systems (LACIS), University of South Florida, Tampa, Florida, United States of America","institution_ids":["https://openalex.org/I2613432"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.6393,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.82832015,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"3517","last_page":"3522"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":1.0,"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":1.0,"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":0.9994000196456909,"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/T10502","display_name":"Advanced Memory and Neural Computing","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/laplacian-matrix","display_name":"Laplacian matrix","score":0.8038579225540161},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.6404553651809692},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.6309592127799988},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6026433706283569},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5762783885002136},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.5090012550354004},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.49848461151123047},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36554890871047974},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3331764340400696},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32573962211608887},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3207772672176361},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.12535464763641357},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0790008008480072}],"concepts":[{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.8038579225540161},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.6404553651809692},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.6309592127799988},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6026433706283569},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5762783885002136},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.5090012550354004},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.49848461151123047},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36554890871047974},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3331764340400696},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32573962211608887},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3207772672176361},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.12535464763641357},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0790008008480072},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/acc45564.2020.9148002","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc45564.2020.9148002","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 American Control Conference (ACC)","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":24,"referenced_works":["https://openalex.org/W613360614","https://openalex.org/W1509185796","https://openalex.org/W1970786657","https://openalex.org/W2000806524","https://openalex.org/W2009619786","https://openalex.org/W2039533720","https://openalex.org/W2100815285","https://openalex.org/W2100920791","https://openalex.org/W2107396783","https://openalex.org/W2128928412","https://openalex.org/W2147539438","https://openalex.org/W2165413656","https://openalex.org/W2171153629","https://openalex.org/W2283198471","https://openalex.org/W2478654971","https://openalex.org/W2494435231","https://openalex.org/W2556654037","https://openalex.org/W2609681974","https://openalex.org/W2763354547","https://openalex.org/W2794895748","https://openalex.org/W2903734579","https://openalex.org/W4238591275","https://openalex.org/W6682089242","https://openalex.org/W6756728661"],"related_works":["https://openalex.org/W2570009360","https://openalex.org/W4321440274","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/W4244587941","https://openalex.org/W2362501828"],"abstract_inverted_index":{"Most":[0],"distributed":[1,34,134],"control":[2,35,135],"results":[3],"utilize":[4],"the":[5,13,20,28,57,70,94,111,127,140,157],"benchmark":[6],"consensus":[7],"algorithm,":[8],"which":[9,60],"is":[10,27,85,101,167],"built":[11],"on":[12,44,103],"well-known":[14],"Laplacian":[15,46,58,83,97,116,129,159],"matrix":[16,84,117,160],"whose":[17],"nullspace":[18,142],"spans":[19],"vector":[21,64,149],"of":[22,38,114,126,156],"ones.":[23],"Since":[24],"this":[25,39,45,49,115],"algorithm":[26],"key":[29],"building":[30],"block":[31],"for":[32,72,87,137,144],"many":[33],"architectures,":[36],"extensions":[37],"algorithms":[40],"are":[41],"also":[42],"predicated":[43],"matrix.":[47,130],"To":[48],"end,":[50],"we":[51],"explore":[52],"how":[53],"one":[54],"can":[55,61],"generalize":[56],"nullspace,":[59],"span":[62],"any":[63],"with":[65],"positive":[66],"elements,":[67],"to":[68,139,146,161],"pave":[69],"way":[71],"composing":[73],"complex":[74],"cooperative":[75],"behaviors":[76],"in":[77],"multiagent":[78],"systems.":[79],"Specifically,":[80],"a":[81,104,147],"new":[82],"introduced":[86],"undirected":[88],"and":[89,118,143,164],"connected":[90],"graphs":[91],"that":[92,120,151],"generalizes":[93],"well-known,":[95],"standard":[96,128],"matrix,":[98],"where":[99],"it":[100,121],"based":[102],"desired,":[105],"user-assigned":[106],"nullspace.":[107,152],"We":[108,131],"first":[109],"give":[110],"mathematical":[112],"definition":[113],"show":[119],"inherits":[122],"some":[123],"fundamental":[124],"properties":[125],"then":[132],"present":[133],"architectures":[136],"convergence":[138,145],"desired":[141],"specific":[148],"within":[150],"Finally,":[153],"an":[154],"application":[155],"proposed":[158],"formation":[162],"tracking":[163],"scaling":[165],"problem":[166],"given.":[168]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}