{"id":"https://openalex.org/W2013283587","doi":"https://doi.org/10.1109/cdc.2011.6161047","title":"On the zeros of consensus networks","display_name":"On the zeros of consensus networks","publication_year":2011,"publication_date":"2011-12-01","ids":{"openalex":"https://openalex.org/W2013283587","doi":"https://doi.org/10.1109/cdc.2011.6161047","mag":"2013283587"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2011.6161047","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2011.6161047","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Conference on Decision and Control and European Control Conference","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/A5044955016","display_name":"Benjamin Briegel","orcid":"https://orcid.org/0000-0002-3033-9975"},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Benjamin Briegel","raw_affiliation_strings":["Institute for Systems Theory and Automatic Control, University of Stuttgart, Stuttgart, Germany","Institute for Systems Theory and Automatic Control, University of Stuttgart, Pfaffenwaldring 9, 70550, Germany"],"affiliations":[{"raw_affiliation_string":"Institute for Systems Theory and Automatic Control, University of Stuttgart, Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]},{"raw_affiliation_string":"Institute for Systems Theory and Automatic Control, University of Stuttgart, Pfaffenwaldring 9, 70550, Germany","institution_ids":["https://openalex.org/I100066346"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047488984","display_name":"Daniel Zelazo","orcid":"https://orcid.org/0000-0002-2931-245X"},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Daniel Zelazo","raw_affiliation_strings":["Institute for Systems Theory and Automatic Control, University of Stuttgart, Stuttgart, Germany","Institute for Systems Theory and Automatic Control, University of Stuttgart, Pfaffenwaldring 9, 70550, Germany"],"affiliations":[{"raw_affiliation_string":"Institute for Systems Theory and Automatic Control, University of Stuttgart, Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]},{"raw_affiliation_string":"Institute for Systems Theory and Automatic Control, University of Stuttgart, Pfaffenwaldring 9, 70550, Germany","institution_ids":["https://openalex.org/I100066346"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113560639","display_name":"Mathias B\u00fcrger","orcid":null},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Mathias Burger","raw_affiliation_strings":["Institute for Systems Theory and Automatic Control, University of Stuttgart, Stuttgart, Germany","Institute for Systems Theory and Automatic Control, University of Stuttgart, Pfaffenwaldring 9, 70550, Germany"],"affiliations":[{"raw_affiliation_string":"Institute for Systems Theory and Automatic Control, University of Stuttgart, Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]},{"raw_affiliation_string":"Institute for Systems Theory and Automatic Control, University of Stuttgart, Pfaffenwaldring 9, 70550, Germany","institution_ids":["https://openalex.org/I100066346"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001090900","display_name":"Frank Allg\u00f6wer","orcid":"https://orcid.org/0000-0002-3702-3658"},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Frank Allgower","raw_affiliation_strings":["Institute for Systems Theory and Automatic Control, University of Stuttgart, Stuttgart, Germany","Institute for Systems Theory and Automatic Control, University of Stuttgart, Pfaffenwaldring 9, 70550, Germany"],"affiliations":[{"raw_affiliation_string":"Institute for Systems Theory and Automatic Control, University of Stuttgart, Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]},{"raw_affiliation_string":"Institute for Systems Theory and Automatic Control, University of Stuttgart, Pfaffenwaldring 9, 70550, Germany","institution_ids":["https://openalex.org/I100066346"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5044955016"],"corresponding_institution_ids":["https://openalex.org/I100066346"],"apc_list":null,"apc_paid":null,"fwci":2.9149,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.90926996,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"1890","last_page":"1895"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9998000264167786,"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":0.9998000264167786,"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/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.764581024646759},{"id":"https://openalex.org/keywords/pole\u2013zero-plot","display_name":"Pole\u2013zero plot","score":0.6800485253334045},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5585955381393433},{"id":"https://openalex.org/keywords/minimum-phase","display_name":"Minimum phase","score":0.5096242427825928},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5081758499145508},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.49609026312828064},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.47611862421035767},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4757404327392578},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4710887372493744},{"id":"https://openalex.org/keywords/interlacing","display_name":"Interlacing","score":0.43918660283088684},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4229661226272583},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.4111228883266449},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.27620965242385864},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.16229510307312012},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10740667581558228},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10453546047210693}],"concepts":[{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.764581024646759},{"id":"https://openalex.org/C43656286","wikidata":"https://www.wikidata.org/wiki/Q2100961","display_name":"Pole\u2013zero plot","level":3,"score":0.6800485253334045},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5585955381393433},{"id":"https://openalex.org/C170263048","wikidata":"https://www.wikidata.org/wiki/Q489593","display_name":"Minimum phase","level":3,"score":0.5096242427825928},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5081758499145508},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.49609026312828064},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.47611862421035767},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4757404327392578},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4710887372493744},{"id":"https://openalex.org/C95439218","wikidata":"https://www.wikidata.org/wiki/Q1666173","display_name":"Interlacing","level":2,"score":0.43918660283088684},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4229661226272583},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.4111228883266449},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.27620965242385864},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.16229510307312012},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10740667581558228},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10453546047210693},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2011.6161047","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2011.6161047","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Conference on Decision and Control and European Control Conference","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":28,"referenced_works":["https://openalex.org/W247697463","https://openalex.org/W613360614","https://openalex.org/W1488435683","https://openalex.org/W1498395183","https://openalex.org/W1887006513","https://openalex.org/W1963649370","https://openalex.org/W1967840482","https://openalex.org/W2009619786","https://openalex.org/W2014302352","https://openalex.org/W2022587566","https://openalex.org/W2073926019","https://openalex.org/W2076420009","https://openalex.org/W2105850748","https://openalex.org/W2107396783","https://openalex.org/W2119120935","https://openalex.org/W2129488612","https://openalex.org/W2140751720","https://openalex.org/W2146890818","https://openalex.org/W2156935118","https://openalex.org/W2160643434","https://openalex.org/W2313564472","https://openalex.org/W2595142274","https://openalex.org/W2792874300","https://openalex.org/W2798588639","https://openalex.org/W3160954918","https://openalex.org/W4238591275","https://openalex.org/W4292872153","https://openalex.org/W6668820318"],"related_works":["https://openalex.org/W2140634538","https://openalex.org/W2139448165","https://openalex.org/W2031431762","https://openalex.org/W1483643396","https://openalex.org/W2020028833","https://openalex.org/W2373634665","https://openalex.org/W2122960479","https://openalex.org/W2158842250","https://openalex.org/W2134692602","https://openalex.org/W2132315559"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"focus":[4],"on":[5,84],"the":[6,22,33,36,42,46,51,55,61,67,77,81,85],"signal":[7],"transfer":[8,24,56],"between":[9,35,66],"any":[10],"two":[11,68],"agents":[12],"in":[13],"a":[14],"consensus":[15],"network":[16],"and":[17,26,38,48,88,95],"provide":[18],"an":[19],"analysis":[20],"of":[21,45,54,63,92],"resulting":[23],"function":[25,57],"transmission":[27],"zeros.":[28],"Our":[29],"contributions":[30],"include":[31],"relating":[32],"distance":[34],"input":[37],"output":[39],"node":[40],"to":[41,60],"relative":[43],"degree":[44],"system":[47],"showing":[49],"that":[50,72],"gain":[52],"factor":[53],"is":[58],"equal":[59],"number":[62],"shortest":[64],"paths":[65],"nodes.":[69],"We":[70],"show":[71],"for":[73],"certain":[74,93],"input-output":[75,96],"configurations,":[76],"zeros":[78],"interlace":[79],"with":[80],"poles.":[82],"Bounds":[83],"zero":[86],"locations":[87],"minimum":[89],"phase":[90],"properties":[91],"graph":[94],"configurations":[97],"are":[98],"provided.":[99]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
