{"id":"https://openalex.org/W2734772652","doi":"https://doi.org/10.23919/acc.2017.7963139","title":"A submodular optimization approach to leader-follower consensus in networks with negative edges","display_name":"A submodular optimization approach to leader-follower consensus in networks with negative edges","publication_year":2017,"publication_date":"2017-05-01","ids":{"openalex":"https://openalex.org/W2734772652","doi":"https://doi.org/10.23919/acc.2017.7963139","mag":"2734772652"},"language":"en","primary_location":{"id":"doi:10.23919/acc.2017.7963139","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc.2017.7963139","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 American Control Conference (ACC)","raw_type":"proceedings-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/A5004774385","display_name":"Andrew Clark","orcid":"https://orcid.org/0000-0002-5868-6186"},"institutions":[{"id":"https://openalex.org/I107077323","display_name":"Worcester Polytechnic Institute","ror":"https://ror.org/05ejpqr48","country_code":"US","type":"education","lineage":["https://openalex.org/I107077323"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Andrew Clark","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Worcester Polytechnic Institute, Worcester, MA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Worcester Polytechnic Institute, Worcester, MA, USA","institution_ids":["https://openalex.org/I107077323"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036206411","display_name":"Qiqiang Hou","orcid":"https://orcid.org/0000-0003-2081-7467"},"institutions":[{"id":"https://openalex.org/I107077323","display_name":"Worcester Polytechnic Institute","ror":"https://ror.org/05ejpqr48","country_code":"US","type":"education","lineage":["https://openalex.org/I107077323"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Qiqiang Hou","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Worcester Polytechnic Institute, Worcester, MA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Worcester Polytechnic Institute, Worcester, MA, USA","institution_ids":["https://openalex.org/I107077323"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003489427","display_name":"Linda Bushnell","orcid":"https://orcid.org/0000-0002-8751-2409"},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Linda Bushnell","raw_affiliation_strings":["Department of Electrical Engineering, University of Washington, Seattle, WA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Washington, Seattle, WA, USA","institution_ids":["https://openalex.org/I201448701"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079723268","display_name":"Radha Poovendran","orcid":"https://orcid.org/0000-0003-0269-8097"},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Radha Poovendran","raw_affiliation_strings":["Department of Electrical Engineering, University of Washington, Seattle, WA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Washington, Seattle, WA, USA","institution_ids":["https://openalex.org/I201448701"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5004774385"],"corresponding_institution_ids":["https://openalex.org/I107077323"],"apc_list":null,"apc_paid":null,"fwci":1.8648,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.87556215,"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":"1346","last_page":"1352"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9941999912261963,"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":0.9667999744415283,"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/submodular-set-function","display_name":"Submodular set function","score":0.9496192932128906},{"id":"https://openalex.org/keywords/laplacian-matrix","display_name":"Laplacian matrix","score":0.5829654932022095},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.530082106590271},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5228046178817749},{"id":"https://openalex.org/keywords/directed-graph","display_name":"Directed graph","score":0.5017528533935547},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48446059226989746},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.4696839153766632},{"id":"https://openalex.org/keywords/graph-theory","display_name":"Graph theory","score":0.4608793556690216},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44672971963882446},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4425477981567383},{"id":"https://openalex.org/keywords/consensus","display_name":"Consensus","score":0.4387187361717224},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.31696629524230957},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2120594084262848},{"id":"https://openalex.org/keywords/multi-agent-system","display_name":"Multi-agent system","score":0.20710334181785583},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1329740285873413},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08686742186546326}],"concepts":[{"id":"https://openalex.org/C178621042","wikidata":"https://www.wikidata.org/wiki/Q7631710","display_name":"Submodular set function","level":2,"score":0.9496192932128906},{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.5829654932022095},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.530082106590271},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5228046178817749},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.5017528533935547},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48446059226989746},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.4696839153766632},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.4608793556690216},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44672971963882446},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4425477981567383},{"id":"https://openalex.org/C107107730","wikidata":"https://www.wikidata.org/wiki/Q2994424","display_name":"Consensus","level":3,"score":0.4387187361717224},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.31696629524230957},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2120594084262848},{"id":"https://openalex.org/C41550386","wikidata":"https://www.wikidata.org/wiki/Q529909","display_name":"Multi-agent system","level":2,"score":0.20710334181785583},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1329740285873413},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08686742186546326},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/acc.2017.7963139","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc.2017.7963139","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 American Control Conference (ACC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1942592222","https://openalex.org/W1967509640","https://openalex.org/W1968817778","https://openalex.org/W1970613448","https://openalex.org/W1988078417","https://openalex.org/W2018200927","https://openalex.org/W2019950225","https://openalex.org/W2029828838","https://openalex.org/W2046423910","https://openalex.org/W2053244425","https://openalex.org/W2075175322","https://openalex.org/W2110209467","https://openalex.org/W2165744313","https://openalex.org/W2287065438","https://openalex.org/W2495591843","https://openalex.org/W2506359039","https://openalex.org/W2963300745","https://openalex.org/W3100460145","https://openalex.org/W3100672622","https://openalex.org/W6640548668","https://openalex.org/W6696703238"],"related_works":["https://openalex.org/W2333731806","https://openalex.org/W3096674331","https://openalex.org/W2035787953","https://openalex.org/W1600295689","https://openalex.org/W3205451841","https://openalex.org/W2056359599","https://openalex.org/W2042408982","https://openalex.org/W2062542433","https://openalex.org/W2980902902","https://openalex.org/W3085903267"],"abstract_inverted_index":{"Networked":[0],"systems":[1],"often":[2,14],"contain":[3],"both":[4,128],"positive":[5],"and":[6,169],"negative":[7,17,24,52,83],"interactions":[8],"between":[9],"nodes,":[10,141],"with":[11,82,146],"the":[12,49,57,72,97,108,112,119,122,137,188],"latter":[13],"represented":[15],"as":[16,35,133],"edge":[18],"weights":[19],"in":[20,48,68,80,116,183,193,198],"a":[21,28,39,65,76,152,172],"graph.":[22],"Such":[23],"edges":[25],"may":[26],"prevent":[27],"network":[29],"from":[30],"performing":[31],"cooperative":[32],"tasks":[33],"such":[34],"achieving":[36],"consensus,":[37],"creating":[38],"need":[40],"for":[41,150,167,190],"new":[42],"control-theoretic":[43],"techniques":[44],"that":[45,90,127,171],"guarantee":[46],"performance":[47],"presence":[50],"of":[51,59,99,118,121,139,155,174],"edges.":[53,84],"This":[54],"paper":[55],"considers":[56],"problem":[58],"selecting":[60,151],"leader":[61,100,140,156,175,191],"nodes":[62,74,157,176],"to":[63,70,75,93,143,158,195],"maintain":[64],"fixed":[66],"state":[67,78],"order":[69,194],"steer":[71],"remaining":[73],"desired":[77],"value":[79],"networks":[81],"We":[85,125,186],"present":[86],"two":[87],"sufficient":[88],"conditions":[89,129,166,179],"are":[91,203],"equivalent":[92],"submodular":[94,134],"constraints":[95,135],"on":[96,107,136],"set":[98,138,154,173],"nodes.":[101],"The":[102,201],"first":[103],"constraint":[104],"is":[105,114],"based":[106],"graph":[109],"spectrum,":[110],"while":[111],"second":[113],"formulated":[115,132],"terms":[117],"determinant":[120],"Laplacian":[123],"matrix.":[124],"prove":[126,170],"can":[130,180],"be":[131,181],"leading":[142],"polynomial-time":[144],"algorithms":[145],"provable":[147],"approximation":[148],"guarantees":[149],"minimum-size":[153],"satisfy":[159],"these":[160,178],"conditions.":[161],"Furthermore,":[162],"we":[163],"introduce":[164],"necessary":[165],"consensus":[168,197],"satisfying":[177],"selected":[182],"polynomial":[184],"time.":[185],"characterize":[187],"requirements":[189],"selection":[192],"ensure":[196],"line":[199],"networks.":[200],"results":[202],"illustrated":[204],"through":[205],"numerical":[206],"study.":[207]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
