{"id":"https://openalex.org/W2571300561","doi":"https://doi.org/10.1109/cdc.2016.7798256","title":"Koopman performance analysis of a class of nonlinear dynamical networks","display_name":"Koopman performance analysis of a class of nonlinear dynamical networks","publication_year":2016,"publication_date":"2016-12-01","ids":{"openalex":"https://openalex.org/W2571300561","doi":"https://doi.org/10.1109/cdc.2016.7798256","mag":"2571300561"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2016.7798256","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2016.7798256","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE 55th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5021774503","display_name":"Hossein Mousavi","orcid":"https://orcid.org/0000-0002-9828-2215"},"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":"Hossein K. Mousavi","raw_affiliation_strings":["Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, PA, USA"],"raw_orcid":null,"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/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":null,"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":null,"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":null,"apc_paid":null,"fwci":0.505,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.59238411,"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":"117","last_page":"122"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9995999932289124,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9965999722480774,"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/class","display_name":"Class (philosophy)","score":0.6282095909118652},{"id":"https://openalex.org/keywords/nonlinear-dynamical-systems","display_name":"Nonlinear dynamical systems","score":0.6259392499923706},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5965467691421509},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5500761270523071},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2348632514476776},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14523321390151978}],"concepts":[{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6282095909118652},{"id":"https://openalex.org/C2983030100","wikidata":"https://www.wikidata.org/wiki/Q638328","display_name":"Nonlinear dynamical systems","level":3,"score":0.6259392499923706},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5965467691421509},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5500761270523071},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2348632514476776},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14523321390151978},{"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/cdc.2016.7798256","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2016.7798256","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE 55th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.5299999713897705}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W247697463","https://openalex.org/W1591018827","https://openalex.org/W1797954303","https://openalex.org/W1976907074","https://openalex.org/W2040335611","https://openalex.org/W2069159682","https://openalex.org/W2086016772","https://openalex.org/W2092272609","https://openalex.org/W2099175737","https://openalex.org/W2103714988","https://openalex.org/W2107396783","https://openalex.org/W2114791779","https://openalex.org/W2120062331","https://openalex.org/W2128949314","https://openalex.org/W2129248505","https://openalex.org/W2151063922","https://openalex.org/W2160643434","https://openalex.org/W2193974550","https://openalex.org/W2479778494","https://openalex.org/W2963197813","https://openalex.org/W2963484379","https://openalex.org/W2963611087","https://openalex.org/W2991966309","https://openalex.org/W3099674394","https://openalex.org/W3104175967","https://openalex.org/W3142756138","https://openalex.org/W4293079168","https://openalex.org/W4298017672","https://openalex.org/W4301014524","https://openalex.org/W6637898004"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W1966008566","https://openalex.org/W2079574545","https://openalex.org/W3127651486","https://openalex.org/W2921182178","https://openalex.org/W4247979471","https://openalex.org/W2068281920","https://openalex.org/W2159708048","https://openalex.org/W2118964038"],"abstract_inverted_index":{"This":[0,26],"paper":[1],"builds":[2],"upon":[3],"the":[4,16,44,47,53,56,67,78,82,86,89,94,97,100,103,111,121,125,130,134],"Koopman":[5,79],"spectral":[6],"analysis":[7],"tools":[8],"to":[9,60],"develop":[10],"a":[11,19,147],"method":[12],"for":[13],"assessment":[14],"of":[15,18,21,28,43,46,52,55,77,81,88,96,102,110,124,133,140,155],"performance":[17,68,73,122],"class":[20,27],"first-order":[22,153],"nonlinear":[23,41,83,126],"consensus":[24,150],"networks.":[25],"networks":[29],"is":[30,64],"defined":[31],"over":[32],"an":[33],"interconnected":[34],"graph":[35,113],"with":[36,58,114],"state-dependent":[37],"weights":[38],"that":[39,120],"are":[40,106],"functions":[42],"state":[45],"network.":[48],"The":[49],"mean":[50],"energy":[51],"output":[54],"system":[57,92,105],"respect":[59],"random":[61],"initial":[62],"conditions":[63],"utilized":[65],"as":[66],"measure.":[69],"We":[70,137],"quantify":[71],"this":[72],"measure":[74,123],"in":[75],"terms":[76],"eigenfunctions":[80],"dynamics,":[84],"and":[85,152],"eigenvalues":[87,101,109],"corresponding":[90],"linearized":[91,104],"at":[93],"equilibrium":[95],"network,":[98],"where":[99],"indeed":[107],"Laplacian":[108],"underlying":[112,135],"opposite":[115],"sign.":[116],"Our":[117],"results":[118,142],"reveal":[119],"network":[127,151,154],"depends":[128],"on":[129],"interconnection":[131],"topology":[132],"graph.":[136],"illustrate":[138],"effectiveness":[139],"our":[141],"using":[143],"several":[144],"examples,":[145],"including":[146],"Cucker-Smale":[148],"type":[149],"identical":[156],"Kuramoto":[157],"oscillators.":[158]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}