{"id":"https://openalex.org/W2604130312","doi":"https://doi.org/10.1109/tac.2017.2691305","title":"On the Consensus of Homogeneous Multiagent Systems With Positivity Constraints","display_name":"On the Consensus of Homogeneous Multiagent Systems With Positivity Constraints","publication_year":2017,"publication_date":"2017-04-05","ids":{"openalex":"https://openalex.org/W2604130312","doi":"https://doi.org/10.1109/tac.2017.2691305","mag":"2604130312"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2017.2691305","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2017.2691305","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":["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/A5064493313","display_name":"Maria Elena Valcher","orcid":"https://orcid.org/0000-0002-7595-3688"},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Maria Elena Valcher","raw_affiliation_strings":["Dipartimento di Ingegneria dell\u2019Informazione, Universit\u00e0 di Padova, Padova, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria dell\u2019Informazione, Universit\u00e0 di Padova, Padova, Italy","institution_ids":["https://openalex.org/I138689650"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054953408","display_name":"Irene Zorzan","orcid":"https://orcid.org/0000-0003-2684-9937"},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Irene Zorzan","raw_affiliation_strings":["Dipartimento di Ingegneria dell\u2019Informazione, Universit\u00e0 di Padova, Padova, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria dell\u2019Informazione, Universit\u00e0 di Padova, Padova, Italy","institution_ids":["https://openalex.org/I138689650"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.1742,"has_fulltext":false,"cited_by_count":62,"citation_normalized_percentile":{"value":0.94671625,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"62","issue":"10","first_page":"5096","last_page":"5110"},"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":0.9994999766349792,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9861999750137329,"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/irreducibility","display_name":"Irreducibility","score":0.9359761476516724},{"id":"https://openalex.org/keywords/laplacian-matrix","display_name":"Laplacian matrix","score":0.7184256315231323},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6219863295555115},{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.608725368976593},{"id":"https://openalex.org/keywords/multi-agent-system","display_name":"Multi-agent system","score":0.5887783169746399},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5791022181510925},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5601652264595032},{"id":"https://openalex.org/keywords/consensus","display_name":"Consensus","score":0.5277529358863831},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.44796139001846313},{"id":"https://openalex.org/keywords/directed-graph","display_name":"Directed graph","score":0.44701987504959106},{"id":"https://openalex.org/keywords/strongly-connected-component","display_name":"Strongly connected component","score":0.4460839629173279},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.42013996839523315},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.34017130732536316},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32641127705574036},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.18887972831726074},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.18461832404136658},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1315915882587433},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1272377371788025},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0960296094417572},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.08317810297012329}],"concepts":[{"id":"https://openalex.org/C2776823524","wikidata":"https://www.wikidata.org/wiki/Q6073561","display_name":"Irreducibility","level":2,"score":0.9359761476516724},{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.7184256315231323},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6219863295555115},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.608725368976593},{"id":"https://openalex.org/C41550386","wikidata":"https://www.wikidata.org/wiki/Q529909","display_name":"Multi-agent system","level":2,"score":0.5887783169746399},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5791022181510925},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5601652264595032},{"id":"https://openalex.org/C107107730","wikidata":"https://www.wikidata.org/wiki/Q2994424","display_name":"Consensus","level":3,"score":0.5277529358863831},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.44796139001846313},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.44701987504959106},{"id":"https://openalex.org/C38754835","wikidata":"https://www.wikidata.org/wiki/Q2003238","display_name":"Strongly connected component","level":2,"score":0.4460839629173279},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.42013996839523315},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.34017130732536316},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32641127705574036},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.18887972831726074},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.18461832404136658},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1315915882587433},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1272377371788025},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0960296094417572},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.08317810297012329},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tac.2017.2691305","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2017.2691305","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:www.research.unipd.it:11577/3227712","is_oa":false,"landing_page_url":"http://hdl.handle.net/11577/3227712","pdf_url":null,"source":{"id":"https://openalex.org/S4377196283","display_name":"Research Padua  Archive (University of Padua)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I138689650","host_organization_name":"University of Padua","host_organization_lineage":["https://openalex.org/I138689650"],"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":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.7699999809265137}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":58,"referenced_works":["https://openalex.org/W836351843","https://openalex.org/W1514589001","https://openalex.org/W1543476919","https://openalex.org/W1547358136","https://openalex.org/W1562963724","https://openalex.org/W1575783483","https://openalex.org/W1587744656","https://openalex.org/W1851248039","https://openalex.org/W1965191890","https://openalex.org/W1970786657","https://openalex.org/W1980710064","https://openalex.org/W1983868185","https://openalex.org/W1998692453","https://openalex.org/W1999190365","https://openalex.org/W2005669158","https://openalex.org/W2008782864","https://openalex.org/W2017465297","https://openalex.org/W2028739770","https://openalex.org/W2033536332","https://openalex.org/W2050505323","https://openalex.org/W2054204410","https://openalex.org/W2054819494","https://openalex.org/W2083644756","https://openalex.org/W2083891624","https://openalex.org/W2084152308","https://openalex.org/W2088008046","https://openalex.org/W2099175737","https://openalex.org/W2100098232","https://openalex.org/W2114482313","https://openalex.org/W2122056736","https://openalex.org/W2128978199","https://openalex.org/W2141497577","https://openalex.org/W2144267444","https://openalex.org/W2146890818","https://openalex.org/W2151417892","https://openalex.org/W2155039147","https://openalex.org/W2156894914","https://openalex.org/W2160643434","https://openalex.org/W2184443190","https://openalex.org/W2206832235","https://openalex.org/W2318223542","https://openalex.org/W2395563344","https://openalex.org/W2435269545","https://openalex.org/W2489733168","https://openalex.org/W2570980591","https://openalex.org/W2749005963","https://openalex.org/W2792874300","https://openalex.org/W2962865436","https://openalex.org/W3101211700","https://openalex.org/W3106116738","https://openalex.org/W4235143360","https://openalex.org/W4250134109","https://openalex.org/W4285719527","https://openalex.org/W6633566229","https://openalex.org/W6651763233","https://openalex.org/W6686956149","https://openalex.org/W6712050161","https://openalex.org/W7061399666"],"related_works":["https://openalex.org/W2601620533","https://openalex.org/W3085903267","https://openalex.org/W2980902902","https://openalex.org/W1979834611","https://openalex.org/W2938096743","https://openalex.org/W2754379988","https://openalex.org/W2086661292","https://openalex.org/W3084398075","https://openalex.org/W3023503784","https://openalex.org/W2902243528"],"abstract_inverted_index":{"This":[0],"paper":[1],"investigates":[2],"the":[3,10,13,25,31,43,46,52,61,65,73,87,92,95,107,129,137],"consensus":[4,41],"problem":[5,53,108,130],"for":[6,51,106,128],"multiagent":[7],"systems,":[8],"under":[9],"assumptions":[11],"that":[12,35],"agents":[14],"are":[15,28,70,81,132],"homogeneous":[16],"and":[17,30,103],"described":[18],"by":[19,111],"a":[20],"single-input":[21],"positive":[22,120],"state-space":[23],"model,":[24],"mutual":[26],"interactions":[27],"cooperative,":[29],"static":[32],"state-feedback":[33],"law":[34],"each":[36],"agent":[37],"adopts":[38],"to":[39,58,100],"achieve":[40],"preserves":[42],"positivity":[44],"of":[45,78,94,119,123],"overall":[47],"system.":[48],"Necessary":[49],"conditions":[50,80,84,105,127],"solvability,":[54],"which":[55],"allow":[56,98],"us":[57,99],"address":[59],"only":[60],"special":[62],"case":[63],"when":[64],"state":[66],"matrix":[67],"is":[68],"irreducible,":[69],"provided.":[71],"Under":[72],"irreducibility":[74],"assumption,":[75],"equivalent":[76],"sets":[77],"sufficient":[79,104,126],"derived.":[82,133],"Special":[83],"either":[85,118],"on":[86,91],"system":[88],"description":[89],"or":[90,122],"Laplacian":[93],"communication":[96],"graph":[97],"obtain":[101],"necessary":[102],"solvability.":[109],"Finally,":[110],"exploiting":[112],"some":[113],"results":[114],"about":[115],"robust":[116],"stability":[117],"systems":[121],"polynomials,":[124],"further":[125],"solvability":[131],"Numerical":[134],"examples":[135],"illustrate":[136],"proposed":[138],"results.":[139]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}