{"id":"https://openalex.org/W2784521278","doi":"https://doi.org/10.1109/tac.2019.2894615","title":"Time-Delay Origins of Fundamental Tradeoffs Between Risk of Large Fluctuations and Network Connectivity","display_name":"Time-Delay Origins of Fundamental Tradeoffs Between Risk of Large Fluctuations and Network Connectivity","publication_year":2019,"publication_date":"2019-01-22","ids":{"openalex":"https://openalex.org/W2784521278","doi":"https://doi.org/10.1109/tac.2019.2894615","mag":"2784521278"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2019.2894615","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2019.2894615","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":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1801.06856","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080167889","display_name":"Christoforos Somarakis","orcid":"https://orcid.org/0000-0003-4601-2501"},"institutions":[{"id":"https://openalex.org/I186143895","display_name":"Lehigh University","ror":"https://ror.org/012afjb06","country_code":"US","type":"education","lineage":["https://openalex.org/I186143895"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Christoforos Somarakis","raw_affiliation_strings":["Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, PA, USA"],"raw_orcid":"https://orcid.org/0000-0003-4601-2501","affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, PA, USA","institution_ids":["https://openalex.org/I186143895"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026469044","display_name":"Yaser Ghaedsharaf","orcid":"https://orcid.org/0000-0002-8197-9761"},"institutions":[{"id":"https://openalex.org/I186143895","display_name":"Lehigh University","ror":"https://ror.org/012afjb06","country_code":"US","type":"education","lineage":["https://openalex.org/I186143895"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yaser Ghaedsharaf","raw_affiliation_strings":["Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, PA, USA"],"raw_orcid":"https://orcid.org/0000-0002-8197-9761","affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, PA, USA","institution_ids":["https://openalex.org/I186143895"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031516064","display_name":"Nader Motee","orcid":"https://orcid.org/0000-0002-0597-3659"},"institutions":[{"id":"https://openalex.org/I186143895","display_name":"Lehigh University","ror":"https://ror.org/012afjb06","country_code":"US","type":"education","lineage":["https://openalex.org/I186143895"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Nader Motee","raw_affiliation_strings":["Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, PA, USA"],"raw_orcid":"https://orcid.org/0000-0002-0597-3659","affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, PA, USA","institution_ids":["https://openalex.org/I186143895"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I186143895"],"apc_list":{"value":2045,"currency":"USD","value_usd":2045},"apc_paid":null,"fwci":0.4922,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.70576437,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":94},"biblio":{"volume":"64","issue":"9","first_page":"3571","last_page":"3586"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9990000128746033,"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":0.9990000128746033,"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":0.9987000226974487,"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/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/observable","display_name":"Observable","score":0.7619900703430176},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.6469768285751343},{"id":"https://openalex.org/keywords/laplacian-matrix","display_name":"Laplacian matrix","score":0.5057580471038818},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.47932660579681396},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.4669901728630066},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4489452540874481},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.4318656623363495},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.403486967086792},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3465983271598816},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.21720710396766663},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16463014483451843},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10371145606040955}],"concepts":[{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.7619900703430176},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.6469768285751343},{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.5057580471038818},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.47932660579681396},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.4669901728630066},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4489452540874481},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.4318656623363495},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.403486967086792},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3465983271598816},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.21720710396766663},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16463014483451843},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10371145606040955},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tac.2019.2894615","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2019.2894615","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:arXiv.org:1801.06856","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1801.06856","pdf_url":"https://arxiv.org/pdf/1801.06856","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"doi:10.48550/arxiv.1801.06856","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1801.06856","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1801.06856","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1801.06856","pdf_url":"https://arxiv.org/pdf/1801.06856","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4294170828","display_name":null,"funder_award_id":"YIP N00014-16-1-2645","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G6643811686","display_name":null,"funder_award_id":"YIP FA9550-13-1-0158","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"}],"funders":[{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2784521278.pdf","grobid_xml":"https://content.openalex.org/works/W2784521278.grobid-xml"},"referenced_works_count":40,"referenced_works":["https://openalex.org/W565177198","https://openalex.org/W592485236","https://openalex.org/W600933876","https://openalex.org/W1505057802","https://openalex.org/W1536430250","https://openalex.org/W1557270667","https://openalex.org/W1607633954","https://openalex.org/W1891298814","https://openalex.org/W1967133649","https://openalex.org/W1967696650","https://openalex.org/W1970786657","https://openalex.org/W1987526470","https://openalex.org/W1995670718","https://openalex.org/W2019291268","https://openalex.org/W2019711733","https://openalex.org/W2033895804","https://openalex.org/W2065894019","https://openalex.org/W2071253378","https://openalex.org/W2088997243","https://openalex.org/W2096011304","https://openalex.org/W2099506495","https://openalex.org/W2107396783","https://openalex.org/W2129248505","https://openalex.org/W2156286761","https://openalex.org/W2160643434","https://openalex.org/W2193974550","https://openalex.org/W2297229147","https://openalex.org/W2325193935","https://openalex.org/W2548691491","https://openalex.org/W2557636075","https://openalex.org/W2735793238","https://openalex.org/W2962680036","https://openalex.org/W2963484379","https://openalex.org/W3104175967","https://openalex.org/W3122825116","https://openalex.org/W4211202937","https://openalex.org/W4213065535","https://openalex.org/W4247782380","https://openalex.org/W6697434106","https://openalex.org/W6747541178"],"related_works":["https://openalex.org/W2738562826","https://openalex.org/W3104175967","https://openalex.org/W2962754981","https://openalex.org/W3121565269","https://openalex.org/W1980563682","https://openalex.org/W1976616616","https://openalex.org/W2037608379","https://openalex.org/W2344128206","https://openalex.org/W2894262948","https://openalex.org/W2787944845","https://openalex.org/W3121290436","https://openalex.org/W2739806318","https://openalex.org/W3122700514","https://openalex.org/W2529884563","https://openalex.org/W3121300114","https://openalex.org/W2953118668","https://openalex.org/W1562105454","https://openalex.org/W3012723486","https://openalex.org/W2551114599","https://openalex.org/W3102077227"],"abstract_inverted_index":{"For":[0,64],"the":[1,43,48,59,98],"class":[2],"of":[3,15,18,25,42,47,61,83],"noisy":[4],"time-delay":[5],"linear":[6],"consensus":[7],"networks,":[8],"we":[9,67,80],"obtain":[10,68],"explicit":[11],"formulas":[12],"for":[13,75,86],"risk":[14,38,60,77,84,95],"large":[16,62],"fluctuations":[17],"a":[19,23],"scalar":[20],"observable":[21],"as":[22],"function":[24],"Laplacian":[26],"eigenspectrum.":[27],"It":[28],"is":[29,33,53],"shown":[30],"that":[31,54],"there":[32],"an":[34],"intrinsic":[35],"tradeoff":[36],"between":[37],"and":[39,72,92],"effective":[40],"resistance":[41],"underlying":[44],"coupling":[45],"graph":[46,90],"network.":[49],"The":[50],"main":[51],"implication":[52],"increasing":[55],"network":[56,99],"connectivity,":[57],"increases":[58],"fluctuations.":[63],"vector-valued":[65],"observables,":[66],"computationally":[69],"tractable":[70],"lower":[71],"upper":[73],"bounds":[74],"joint":[76],"measures.":[78],"Then,":[79],"study":[81],"behavior":[82],"measures":[85],"networks":[87],"with":[88,97],"specific":[89],"topologies":[91],"show":[93],"how":[94],"scales":[96],"size.":[100]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-08-28T12:50:07.497085","created_date":"2025-10-10T00:00:00"}