{"id":"https://openalex.org/W1559098254","doi":"https://doi.org/10.1109/acc.2015.7170983","title":"On the fiedler vector of graphs and its application in consensus networks","display_name":"On the fiedler vector of graphs and its application in consensus networks","publication_year":2015,"publication_date":"2015-07-01","ids":{"openalex":"https://openalex.org/W1559098254","doi":"https://doi.org/10.1109/acc.2015.7170983","mag":"1559098254"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2015.7170983","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2015.7170983","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 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/A5068935512","display_name":"Haibin Shao","orcid":"https://orcid.org/0000-0003-3343-625X"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Haibin Shao","raw_affiliation_strings":["Department of Automation, Shanghai Jiao Tong University, Shanghai, China","Department of Automation and the Key Laboratory of System Control and Information Processing Ministry of Education of China, Shanghai Jiao Tong University, 200240, China"],"affiliations":[{"raw_affiliation_string":"Department of Automation, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]},{"raw_affiliation_string":"Department of Automation and the Key Laboratory of System Control and Information Processing Ministry of Education of China, Shanghai Jiao Tong University, 200240, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040511603","display_name":"Mehran Mesbahi","orcid":"https://orcid.org/0000-0001-6972-6588"},"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"]},{"id":"https://openalex.org/I46020346","display_name":"American Institute of Aeronautics and Astronautics","ror":"https://ror.org/00a1rzv11","country_code":"US","type":"other","lineage":["https://openalex.org/I46020346"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mehran Mesbahi","raw_affiliation_strings":["Department of Aeronautics and Astronautics, University of Washington, Seattle, WA, USA","Dept. of Aeronautics & Astronautics, University of Washington, Seattle, 98195-2400, USA"],"affiliations":[{"raw_affiliation_string":"Department of Aeronautics and Astronautics, University of Washington, Seattle, WA, USA","institution_ids":["https://openalex.org/I46020346","https://openalex.org/I201448701"]},{"raw_affiliation_string":"Dept. of Aeronautics & Astronautics, University of Washington, Seattle, 98195-2400, USA","institution_ids":["https://openalex.org/I46020346","https://openalex.org/I201448701"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5068935512"],"corresponding_institution_ids":["https://openalex.org/I183067930"],"apc_list":null,"apc_paid":null,"fwci":0.6656,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.725071,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"1734","last_page":"1739"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9991999864578247,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9991999864578247,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9991000294685364,"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":0.9990000128746033,"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/laplacian-matrix","display_name":"Laplacian matrix","score":0.7783592343330383},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.7055470943450928},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47509896755218506},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.46924543380737305},{"id":"https://openalex.org/keywords/algebraic-connectivity","display_name":"Algebraic connectivity","score":0.45537954568862915},{"id":"https://openalex.org/keywords/impulse","display_name":"Impulse (physics)","score":0.44773760437965393},{"id":"https://openalex.org/keywords/unit-vector","display_name":"Unit vector","score":0.43141573667526245},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43011438846588135},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3660088777542114},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3585381805896759},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3398866653442383},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1996191143989563},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1731746792793274},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15007761120796204}],"concepts":[{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.7783592343330383},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7055470943450928},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47509896755218506},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.46924543380737305},{"id":"https://openalex.org/C7948225","wikidata":"https://www.wikidata.org/wiki/Q4723998","display_name":"Algebraic connectivity","level":4,"score":0.45537954568862915},{"id":"https://openalex.org/C70836080","wikidata":"https://www.wikidata.org/wiki/Q837940","display_name":"Impulse (physics)","level":2,"score":0.44773760437965393},{"id":"https://openalex.org/C84316537","wikidata":"https://www.wikidata.org/wiki/Q36255","display_name":"Unit vector","level":2,"score":0.43141573667526245},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43011438846588135},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3660088777542114},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3585381805896759},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3398866653442383},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1996191143989563},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1731746792793274},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15007761120796204},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2015.7170983","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2015.7170983","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 American Control Conference (ACC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.8199999928474426,"display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W613360614","https://openalex.org/W1498395183","https://openalex.org/W1603765807","https://openalex.org/W2063801303","https://openalex.org/W2074032690","https://openalex.org/W2106221286","https://openalex.org/W2107396783","https://openalex.org/W2107940287","https://openalex.org/W2136907259","https://openalex.org/W2147539438","https://openalex.org/W2165744313","https://openalex.org/W2501990301","https://openalex.org/W6636083699"],"related_works":["https://openalex.org/W4205812024","https://openalex.org/W2597594164","https://openalex.org/W80320255","https://openalex.org/W2475700395","https://openalex.org/W3011949883","https://openalex.org/W2039278542","https://openalex.org/W4368408228","https://openalex.org/W3046200067","https://openalex.org/W2117285924","https://openalex.org/W2384465505"],"abstract_inverted_index":{"In":[0,55],"this":[1,45],"paper,":[2],"we":[3,57,81],"examine":[4],"the":[5,8,12,17,28,35,38,42,49,53,60,66,71,84,95],"influence":[6],"of":[7,11,19,37,44,52,70,87],"normalized":[9],"eigenvectors":[10],"graph":[13,89],"Laplacian":[14],"matrix":[15],"on":[16,65,94],"behavior":[18,51],"individual":[20],"agents":[21,39],"undergoing":[22],"consensus":[23,72],"dynamics.":[24],"We":[25],"show":[26,82],"that":[27,41,83],"Fielder":[29],"vector":[30,46,62],"can":[31,47,90],"be":[32,91],"estimated":[33],"from":[34],"states":[36],"and":[40],"entries":[43],"describe":[48],"subsequent":[50],"agents.":[54],"addition,":[56],"discuss":[58],"how":[59],"Fiedler":[61,97],"sheds":[63],"light":[64],"energy":[67],"damping":[68],"rate":[69],"network":[73],"driven":[74],"by":[75],"unit":[76],"impulse.":[77],"As":[78],"an":[79],"application,":[80],"characteristic":[85],"set":[86],"a":[88],"identified":[92],"based":[93],"corresponding":[96],"vector.":[98]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}