{"id":"https://openalex.org/W2947622159","doi":"https://doi.org/10.1109/lcsys.2019.2919832","title":"A Graph-Theoretic Approach to the ${\\mathcal{H}}_{\\infty}$ Performance of Leader\u2013Follower Consensus on Directed Networks","display_name":"A Graph-Theoretic Approach to the ${\\mathcal{H}}_{\\infty}$ Performance of Leader\u2013Follower Consensus on Directed Networks","publication_year":2019,"publication_date":"2019-05-29","ids":{"openalex":"https://openalex.org/W2947622159","doi":"https://doi.org/10.1109/lcsys.2019.2919832","mag":"2947622159"},"language":"en","primary_location":{"id":"doi:10.1109/lcsys.2019.2919832","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2019.2919832","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"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 Control Systems Letters","raw_type":"journal-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/A5074875955","display_name":"Mohammad Pirani","orcid":"https://orcid.org/0000-0003-2677-2140"},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Mohammad Pirani","raw_affiliation_strings":["Department of Automatic Control, KTH Royal Institute of Technology, Stockholm, Sweden"],"affiliations":[{"raw_affiliation_string":"Department of Automatic Control, KTH Royal Institute of Technology, Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056120878","display_name":"Henrik Sandberg","orcid":"https://orcid.org/0000-0003-1835-2963"},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Henrik Sandberg","raw_affiliation_strings":["Department of Automatic Control, KTH Royal Institute of Technology, Stockholm, Sweden"],"affiliations":[{"raw_affiliation_string":"Department of Automatic Control, KTH Royal Institute of Technology, Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045975901","display_name":"Karl Henrik Johansson","orcid":"https://orcid.org/0000-0001-9940-5929"},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Karl Henrik Johansson","raw_affiliation_strings":["Department of Automatic Control, KTH Royal Institute of Technology, Stockholm, Sweden"],"affiliations":[{"raw_affiliation_string":"Department of Automatic Control, KTH Royal Institute of Technology, Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5074875955"],"corresponding_institution_ids":["https://openalex.org/I86987016"],"apc_list":null,"apc_paid":null,"fwci":0.8639,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.73235367,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"3","issue":"4","first_page":"954","last_page":"959"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9979000091552734,"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":0.9979000091552734,"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":0.9961000084877014,"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/T11896","display_name":"Opportunistic and Delay-Tolerant Networks","score":0.9940999746322632,"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/directed-graph","display_name":"Directed graph","score":0.6182896494865417},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5770876407623291},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.4936333894729614},{"id":"https://openalex.org/keywords/strongly-connected-component","display_name":"Strongly connected component","score":0.4421657621860504},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4370269775390625},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4264169931411743},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3548102378845215},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33201783895492554},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.065715491771698}],"concepts":[{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.6182896494865417},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5770876407623291},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.4936333894729614},{"id":"https://openalex.org/C38754835","wikidata":"https://www.wikidata.org/wiki/Q2003238","display_name":"Strongly connected component","level":2,"score":0.4421657621860504},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4370269775390625},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4264169931411743},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3548102378845215},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33201783895492554},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.065715491771698},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lcsys.2019.2919832","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2019.2919832","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"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 Control Systems Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320940","display_name":"Stiftelsen f\u00f6r\u00a0Strategisk Forskning","ror":"https://ror.org/044wr7g58"},{"id":"https://openalex.org/F4320322327","display_name":"Knut och Alice Wallenbergs Stiftelse","ror":"https://ror.org/004hzzk67"},{"id":"https://openalex.org/F4320322581","display_name":"Vetenskapsr\u00e5det","ror":"https://ror.org/03zttf063"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1534430411","https://openalex.org/W1595344052","https://openalex.org/W1605161779","https://openalex.org/W1605963475","https://openalex.org/W1818569528","https://openalex.org/W1868559974","https://openalex.org/W1963649370","https://openalex.org/W1976882691","https://openalex.org/W2001829445","https://openalex.org/W2019817112","https://openalex.org/W2037365847","https://openalex.org/W2065313971","https://openalex.org/W2084080083","https://openalex.org/W2099689250","https://openalex.org/W2101628261","https://openalex.org/W2113358778","https://openalex.org/W2137002893","https://openalex.org/W2216737681","https://openalex.org/W2314622687","https://openalex.org/W2343696594","https://openalex.org/W2495591843","https://openalex.org/W2516909170","https://openalex.org/W2528319639","https://openalex.org/W2563585361","https://openalex.org/W2570773938","https://openalex.org/W2963484379","https://openalex.org/W2964244475","https://openalex.org/W3100057020","https://openalex.org/W4235143360","https://openalex.org/W4295332012","https://openalex.org/W6750972920"],"related_works":["https://openalex.org/W2058185550","https://openalex.org/W4233962493","https://openalex.org/W4213342718","https://openalex.org/W2004947445","https://openalex.org/W2949833368","https://openalex.org/W4300545322","https://openalex.org/W3090842298","https://openalex.org/W3160940394","https://openalex.org/W3088611359","https://openalex.org/W2473373115"],"abstract_inverted_index":{"We":[0,31],"study":[1,81],"a":[2,28,65,118],"graph-theoretic":[3,34],"approach":[4],"to":[5,43,55,61,117],"the":[6,18,24,40,45,56,71,74,82,85,111,122],"H":[7,47,87,125],"<sub":[8,48,88,126],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[9,49,89,127],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\u221e</sub>":[10,50,90,128],"performance":[11],"of":[12,20,58,73,100,113],"leader":[13],"following":[14],"consensus":[15,41],"dynamics":[16,42],"in":[17],"presence":[19],"external":[21,53],"disturbances":[22,54],"when":[23],"underlying":[25],"graph":[26],"is":[27],"directed":[29,93,106,115,119],"network.":[30],"first":[32],"provide":[33],"necessary":[35],"and":[36,94,105],"sufficient":[37],"conditions":[38,76],"for":[39,92,97],"have":[44],"system":[46,86,124],"norm":[51,91],"from":[52],"state":[57],"each":[59],"agent":[60],"be":[62],"lower":[63],"than":[64],"certain":[66],"value.":[67],"Moreover,":[68,108],"we":[69,80,109],"discuss":[70],"tightness":[72],"proposed":[75],"via":[77],"examples.":[78],"Then,":[79],"relation":[83],"between":[84],"undirected":[95],"networks":[96],"specific":[98],"classes":[99],"graphs,":[101],"i.e.,":[102],"balanced":[103],"digraphs":[104],"trees.":[107],"investigate":[110],"effects":[112],"adding":[114],"edges":[116],"tree":[120],"on":[121],"resulting":[123],"norm.":[129]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-04-11T08:14:18.477133","created_date":"2025-10-10T00:00:00"}