{"id":"https://openalex.org/W2142676625","doi":"https://doi.org/10.1109/cdc.2007.4434825","title":"The S-hull approach to consensus","display_name":"The S-hull approach to consensus","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2142676625","doi":"https://doi.org/10.1109/cdc.2007.4434825","mag":"2142676625"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2007.4434825","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2007.4434825","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 46th IEEE Conference on Decision and Control","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/A5007541920","display_name":"loannis Lestas","orcid":null},"institutions":[{"id":"https://openalex.org/I4210096386","display_name":"Bridge University","ror":"https://ror.org/00cbm0437","country_code":"SS","type":"education","lineage":["https://openalex.org/I4210096386"]},{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB","SS"],"is_corresponding":true,"raw_author_name":"loannis Lestas","raw_affiliation_strings":["Department of Engineering, University of Cambridge, Cambridge, UK","Cambridge University, Cambridge,"],"affiliations":[{"raw_affiliation_string":"Department of Engineering, University of Cambridge, Cambridge, UK","institution_ids":["https://openalex.org/I241749"]},{"raw_affiliation_string":"Cambridge University, Cambridge,","institution_ids":["https://openalex.org/I4210096386","https://openalex.org/I241749"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057008878","display_name":"Glenn Vinnicombe","orcid":"https://orcid.org/0000-0002-0622-4932"},"institutions":[{"id":"https://openalex.org/I4210096386","display_name":"Bridge University","ror":"https://ror.org/00cbm0437","country_code":"SS","type":"education","lineage":["https://openalex.org/I4210096386"]},{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB","SS"],"is_corresponding":false,"raw_author_name":"Glenn Vinnicombe","raw_affiliation_strings":["Department of Engineering, University of Cambridge, Cambridge, UK","Cambridge University, Cambridge,"],"affiliations":[{"raw_affiliation_string":"Department of Engineering, University of Cambridge, Cambridge, UK","institution_ids":["https://openalex.org/I241749"]},{"raw_affiliation_string":"Cambridge University, Cambridge,","institution_ids":["https://openalex.org/I4210096386","https://openalex.org/I241749"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5007541920"],"corresponding_institution_ids":["https://openalex.org/I241749","https://openalex.org/I4210096386"],"apc_list":null,"apc_paid":null,"fwci":2.8878,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.91713717,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"182","last_page":"187"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9914000034332275,"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"}},{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9886999726295471,"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/corollary","display_name":"Corollary","score":0.6511980295181274},{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.6031678318977356},{"id":"https://openalex.org/keywords/passivity","display_name":"Passivity","score":0.5870919227600098},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.578697681427002},{"id":"https://openalex.org/keywords/homogeneous-space","display_name":"Homogeneous space","score":0.5728144645690918},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5609785318374634},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5324808955192566},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.5022163391113281},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.48914793133735657},{"id":"https://openalex.org/keywords/hull","display_name":"Hull","score":0.4858526885509491},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.47809168696403503},{"id":"https://openalex.org/keywords/interconnection","display_name":"Interconnection","score":0.4638839364051819},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3721301257610321},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36411887407302856},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.3527875542640686},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.35014986991882324},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.16878265142440796},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.14035293459892273},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.11545699834823608},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10804152488708496},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09418648481369019},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.08800390362739563}],"concepts":[{"id":"https://openalex.org/C2780012671","wikidata":"https://www.wikidata.org/wiki/Q1343870","display_name":"Corollary","level":2,"score":0.6511980295181274},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.6031678318977356},{"id":"https://openalex.org/C2778809601","wikidata":"https://www.wikidata.org/wiki/Q1045736","display_name":"Passivity","level":2,"score":0.5870919227600098},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.578697681427002},{"id":"https://openalex.org/C96469262","wikidata":"https://www.wikidata.org/wiki/Q1324364","display_name":"Homogeneous space","level":2,"score":0.5728144645690918},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5609785318374634},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5324808955192566},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.5022163391113281},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.48914793133735657},{"id":"https://openalex.org/C37423430","wikidata":"https://www.wikidata.org/wiki/Q6750281","display_name":"Hull","level":2,"score":0.4858526885509491},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.47809168696403503},{"id":"https://openalex.org/C123745756","wikidata":"https://www.wikidata.org/wiki/Q1665949","display_name":"Interconnection","level":2,"score":0.4638839364051819},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3721301257610321},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36411887407302856},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3527875542640686},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.35014986991882324},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.16878265142440796},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.14035293459892273},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.11545699834823608},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10804152488708496},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09418648481369019},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.08800390362739563},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C199104240","wikidata":"https://www.wikidata.org/wiki/Q118291","display_name":"Marine engineering","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2007.4434825","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2007.4434825","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 46th 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":22,"referenced_works":["https://openalex.org/W247697463","https://openalex.org/W1482401214","https://openalex.org/W1488435683","https://openalex.org/W1778911478","https://openalex.org/W1974662497","https://openalex.org/W2000806307","https://openalex.org/W2029402321","https://openalex.org/W2036364567","https://openalex.org/W2097944741","https://openalex.org/W2099175737","https://openalex.org/W2107396783","https://openalex.org/W2110530726","https://openalex.org/W2120966441","https://openalex.org/W2125668987","https://openalex.org/W2137331053","https://openalex.org/W2165744313","https://openalex.org/W2168132433","https://openalex.org/W2172498959","https://openalex.org/W2561646501","https://openalex.org/W4238591275","https://openalex.org/W6638189091","https://openalex.org/W6650466926"],"related_works":["https://openalex.org/W2376029318","https://openalex.org/W2388301251","https://openalex.org/W4233304828","https://openalex.org/W4239268637","https://openalex.org/W2952841825","https://openalex.org/W2013770701","https://openalex.org/W1977819874","https://openalex.org/W2051296765","https://openalex.org/W3013941779","https://openalex.org/W2960878236"],"abstract_inverted_index":{"It":[0],"is":[1,42,81,91,108],"shown":[2,92],"in":[3,26,54,94,100],"the":[4,33,45,55,59,64,95,101,128,142],"paper":[5],"how":[6],"by":[7,11,83],"introducing":[8],"interconnection":[9],"symmetries":[10],"use":[12],"of":[13,17,35,47,61,79,97,141],"bidirectional":[14],"communication,":[15],"stability":[16,107,116],"consensus":[18],"protocols":[19],"on":[20,117],"arbitrary":[21,119],"topologies":[22],"can":[23,114],"be":[24],"guaranteed":[25],"a":[27,50,76,88,111],"decentralized":[28],"and":[29,72,125],"scalable":[30],"way,":[31],"despite":[32],"presence":[34,96],"higher":[36],"order":[37],"heterogeneous":[38,98],"dynamics.":[39],"The":[40,121],"analysis":[41],"centred":[43],"round":[44],"notion":[46],"an":[48,118],"S-hull":[49],"relaxed":[51],"convex":[52],"hull":[53],"complex":[56],"plane.":[57],"In":[58],"case":[60,106],"linear":[62],"dynamics":[63,80],"certificates":[65],"derived":[66],"include,":[67],"as":[68],"special":[69],"cases,":[70],"passivity":[71],"dissipativity":[73],"approaches,":[74],"though":[75],"wider":[77],"class":[78],"allowed":[82],"employing":[84],"convexification":[85],"arguments.":[86],"As":[87],"corollary,":[89],"it":[90],"that":[93],"delays":[99,129],"relative":[102],"information":[103],"(in":[104],"which":[105],"delay":[109],"dependent)":[110],"simple":[112],"scaling":[113],"guaranty":[115],"topology.":[120],"condition":[122],"becomes":[123],"necessary":[124],"sufficient":[126],"when":[127],"are":[130,135],"homogeneous.":[131],"Time":[132],"domain":[133],"interpretations":[134],"finally":[136],"discussed":[137],"for":[138],"certain":[139],"formulations":[140],"problem.":[143]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}