{"id":"https://openalex.org/W2012593267","doi":"https://doi.org/10.1109/acc.2010.5531530","title":"KYP lemma for internally positive systems and a tractable class of distributed H-infinity control problems","display_name":"KYP lemma for internally positive systems and a tractable class of distributed H-infinity control problems","publication_year":2010,"publication_date":"2010-06-01","ids":{"openalex":"https://openalex.org/W2012593267","doi":"https://doi.org/10.1109/acc.2010.5531530","mag":"2012593267"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2010.5531530","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2010.5531530","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2010 American Control Conference","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/A5082230661","display_name":"Takashi Tanaka","orcid":"https://orcid.org/0000-0001-7424-0064"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Takashi Tanaka","raw_affiliation_strings":["Department of Aerospace Engineering, 306 Talbot Laboratory, University of Illinois, Urbana-Champaign, Urbana, IL, USA","Department of Aerospace Engineering, 306 Talbot Laboratory, MC-236, University of Illinois at Urbana-Champaign, 61801, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Aerospace Engineering, 306 Talbot Laboratory, University of Illinois, Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Department of Aerospace Engineering, 306 Talbot Laboratory, MC-236, University of Illinois at Urbana-Champaign, 61801, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053297501","display_name":"C\u00e9dric Langbort","orcid":null},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Cedric Langbort","raw_affiliation_strings":["Department of Aerospace Engineering, 306 Talbot Laboratory, University of Illinois, Urbana-Champaign, Urbana, IL, USA","Department of Aerospace Engineering, 306 Talbot Laboratory, MC-236, University of Illinois at Urbana-Champaign, 61801, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Aerospace Engineering, 306 Talbot Laboratory, University of Illinois, Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Department of Aerospace Engineering, 306 Talbot Laboratory, MC-236, University of Illinois at Urbana-Champaign, 61801, USA","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I157725225"],"apc_list":null,"apc_paid":null,"fwci":7.3254,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.9797745,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"6238","last_page":"6243"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.993399977684021,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.7299619317054749},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.648760199546814},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.6160580515861511},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6058698892593384},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5796683430671692},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5652340650558472},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5156163573265076},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5120602250099182},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.47296661138534546},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4700649678707123},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.46637895703315735},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.4623580574989319},{"id":"https://openalex.org/keywords/diagonal-matrix","display_name":"Diagonal matrix","score":0.4542740285396576},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.42502111196517944},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3911522328853607},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.25585484504699707},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22838112711906433},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.09122708439826965},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07528826594352722}],"concepts":[{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.7299619317054749},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.648760199546814},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6160580515861511},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6058698892593384},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5796683430671692},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5652340650558472},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5156163573265076},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5120602250099182},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.47296661138534546},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4700649678707123},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.46637895703315735},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.4623580574989319},{"id":"https://openalex.org/C113313756","wikidata":"https://www.wikidata.org/wiki/Q332791","display_name":"Diagonal matrix","level":3,"score":0.4542740285396576},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.42502111196517944},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3911522328853607},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.25585484504699707},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22838112711906433},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.09122708439826965},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07528826594352722},{"id":"https://openalex.org/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2010.5531530","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2010.5531530","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2010 American Control Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1860475432","https://openalex.org/W1868559974","https://openalex.org/W1989076115","https://openalex.org/W2024496631","https://openalex.org/W2076534827","https://openalex.org/W2077418568","https://openalex.org/W2098132097","https://openalex.org/W2115832833","https://openalex.org/W2121716641","https://openalex.org/W2126388526","https://openalex.org/W2137002893","https://openalex.org/W2161606278","https://openalex.org/W2165894964","https://openalex.org/W2167094764"],"related_works":["https://openalex.org/W1529195008","https://openalex.org/W2034395027","https://openalex.org/W2028994362","https://openalex.org/W38983538","https://openalex.org/W2924468784","https://openalex.org/W2034598826","https://openalex.org/W4285317199","https://openalex.org/W2087913063","https://openalex.org/W1525824672","https://openalex.org/W1671489304"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,13,23,33,44,48,52,64],"KYP":[3],"lemma":[4],"for":[5],"internally":[6],"positive":[7],"LTI":[8],"systems":[9,17],"and":[10,70],"show":[11],"that":[12],"H∞norm":[14],"of":[15,25,35,46,54,63],"such":[16,36],"can":[18],"be":[19],"evaluated":[20],"by":[21],"checking":[22],"existence":[24,34],"a":[26,37],"certain":[27],"diagonal":[28,38],"quadratic":[29,39],"storage":[30,40],"function.":[31],"Once":[32],"function":[41],"is":[42],"ensured,":[43],"problem":[45],"finding":[47],"optimal":[49],"H∞controller":[50],"among":[51],"class":[53],"structured":[55],"static":[56],"state":[57],"feedback":[58],"controllers":[59],"attaining":[60],"internal":[61],"positivity":[62],"closed":[65],"loop":[66],"system":[67],"becomes":[68],"convex":[69],"tractable.":[71]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}