{"id":"https://openalex.org/W2962921922","doi":"https://doi.org/10.23919/acc.2018.8431294","title":"Biharmonic Distance and Performance of Second-Order Consensus Networks with Stochastic Disturbances","display_name":"Biharmonic Distance and Performance of Second-Order Consensus Networks with Stochastic Disturbances","publication_year":2018,"publication_date":"2018-06-01","ids":{"openalex":"https://openalex.org/W2962921922","doi":"https://doi.org/10.23919/acc.2018.8431294","mag":"2962921922"},"language":"en","primary_location":{"id":"doi:10.23919/acc.2018.8431294","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc.2018.8431294","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 Annual 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/A5062353872","display_name":"Yuhao Yi","orcid":"https://orcid.org/0000-0001-6036-0276"},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yuhao Yi","raw_affiliation_strings":["Shanghai Key Laboratory of Intelligent Information Processing, Fudan University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Shanghai Key Laboratory of Intelligent Information Processing, Fudan University, Shanghai, China","institution_ids":["https://openalex.org/I24943067"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058381838","display_name":"Bingjia Yang","orcid":"https://orcid.org/0000-0003-4074-9553"},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bingjia Yang","raw_affiliation_strings":["Department of Physics, Fudan University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Department of Physics, Fudan University, Shanghai, China","institution_ids":["https://openalex.org/I24943067"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067533846","display_name":"Zhongzhi Zhang","orcid":"https://orcid.org/0000-0003-1260-2079"},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhongzhi Zhang","raw_affiliation_strings":["Shanghai Key Laboratory of Intelligent Information Processing, Fudan University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Shanghai Key Laboratory of Intelligent Information Processing, Fudan University, Shanghai, China","institution_ids":["https://openalex.org/I24943067"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081738999","display_name":"Stacy Patterson","orcid":"https://orcid.org/0000-0001-7711-6018"},"institutions":[{"id":"https://openalex.org/I165799507","display_name":"Rensselaer Polytechnic Institute","ror":"https://ror.org/01rtyzb94","country_code":"US","type":"education","lineage":["https://openalex.org/I165799507"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Stacy Patterson","raw_affiliation_strings":["Department of Computer Science, Rensselaer Polytechnic Institute, Troy, New York"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Rensselaer Polytechnic Institute, Troy, New York","institution_ids":["https://openalex.org/I165799507"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5062353872"],"corresponding_institution_ids":["https://openalex.org/I24943067"],"apc_list":null,"apc_paid":null,"fwci":1.2065,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.79896307,"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":"4943","last_page":"4950"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9983000159263611,"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"}},"topics":[{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9983000159263611,"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"}},{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.996399998664856,"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":0.9868000149726868,"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/biharmonic-equation","display_name":"Biharmonic equation","score":0.960111141204834},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.7223082184791565},{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"Pairwise comparison","score":0.6372591853141785},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5814332962036133},{"id":"https://openalex.org/keywords/variance","display_name":"Variance (accounting)","score":0.5703808665275574},{"id":"https://openalex.org/keywords/centrality","display_name":"Centrality","score":0.5296888947486877},{"id":"https://openalex.org/keywords/steady-state","display_name":"Steady state (chemistry)","score":0.45130854845046997},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.41966840624809265},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33182454109191895},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2353271245956421},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.22849661111831665},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.21865957975387573},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.12155482172966003}],"concepts":[{"id":"https://openalex.org/C145784156","wikidata":"https://www.wikidata.org/wiki/Q859808","display_name":"Biharmonic equation","level":3,"score":0.960111141204834},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.7223082184791565},{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.6372591853141785},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5814332962036133},{"id":"https://openalex.org/C196083921","wikidata":"https://www.wikidata.org/wiki/Q7915758","display_name":"Variance (accounting)","level":2,"score":0.5703808665275574},{"id":"https://openalex.org/C53811970","wikidata":"https://www.wikidata.org/wiki/Q5062194","display_name":"Centrality","level":2,"score":0.5296888947486877},{"id":"https://openalex.org/C8171440","wikidata":"https://www.wikidata.org/wiki/Q903414","display_name":"Steady state (chemistry)","level":2,"score":0.45130854845046997},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.41966840624809265},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33182454109191895},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2353271245956421},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.22849661111831665},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.21865957975387573},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.12155482172966003},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.0},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.0},{"id":"https://openalex.org/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C147789679","wikidata":"https://www.wikidata.org/wiki/Q11372","display_name":"Physical chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/acc.2018.8431294","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc.2018.8431294","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 Annual 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/W1818569528","https://openalex.org/W1966907089","https://openalex.org/W1977402388","https://openalex.org/W1985451401","https://openalex.org/W1998200279","https://openalex.org/W2004855787","https://openalex.org/W2012445782","https://openalex.org/W2037322878","https://openalex.org/W2059031134","https://openalex.org/W2099689250","https://openalex.org/W2112147870","https://openalex.org/W2129248505","https://openalex.org/W2146890818","https://openalex.org/W2169475202","https://openalex.org/W2216737681","https://openalex.org/W2294879381","https://openalex.org/W2346565973","https://openalex.org/W2752335983","https://openalex.org/W3101890301","https://openalex.org/W3104175967","https://openalex.org/W4205987271"],"related_works":["https://openalex.org/W2503543076","https://openalex.org/W2738351852","https://openalex.org/W1131942522","https://openalex.org/W3139424580","https://openalex.org/W1986396960","https://openalex.org/W2105227268","https://openalex.org/W4307213029","https://openalex.org/W1989880152","https://openalex.org/W1977275827","https://openalex.org/W4385453095"],"abstract_inverted_index":{"We":[0,9,46,84],"study":[1],"second-order":[2,136],"consensus":[3,82],"dynamics":[4],"with":[5],"random":[6],"additive":[7],"disturbances.":[8],"focus":[10],"on":[11,98],"three":[12],"different":[13],"performance":[14,50,71,78,109],"measures:":[15],"the":[16,25,29,36,39,44,56,59,62,69,77,87,99,108,127,131],"steady-state":[17,26,41],"variance":[18,27,42],"of":[19,28,31,43,61,79,90,130],"pairwise":[20],"differences":[21],"between":[22],"vertex":[23,33,95],"states,":[24],"deviation":[30],"each":[32],"state":[34],"from":[35],"average,":[37],"and":[38,94,111,119,121,135],"total":[40],"system.":[45],"show":[47],"that":[48],"these":[49],"measures":[51,110],"are":[52],"closely":[53],"related":[54],"to":[55,125],"biharmonic":[57,63,91,100],"distance;":[58],"square":[60],"distance":[64,74,92],"plays":[65,75],"similar":[66],"role":[67],"in":[68,76,133],"system":[70],"as":[72],"resistance":[73],"first-order":[80],"noisy":[81],"dynamics.":[83],"further":[85],"define":[86],"new":[88],"concepts":[89,112],"index":[93],"centrality":[96],"based":[97],"distance.":[101],"Finally,":[102],"we":[103],"derive":[104],"analytical":[105],"results":[106],"for":[107,113],"complete":[114],"graphs,":[115,117],"star":[116],"cycles,":[118],"paths,":[120],"use":[122],"this":[123],"analysis":[124],"compare":[126],"asymptotic":[128],"behavior":[129],"steady-variance":[132],"first-":[134],"systems.":[137]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
