{"id":"https://openalex.org/W1969952602","doi":"https://doi.org/10.23919/ecc.2009.7074898","title":"A decomposition algorithm for KYP-SDPs","display_name":"A decomposition algorithm for KYP-SDPs","publication_year":2009,"publication_date":"2009-08-01","ids":{"openalex":"https://openalex.org/W1969952602","doi":"https://doi.org/10.23919/ecc.2009.7074898","mag":"1969952602"},"language":"en","primary_location":{"id":"doi:10.23919/ecc.2009.7074898","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2009.7074898","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 European Control Conference (ECC)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-56211","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021506319","display_name":"Rikard Falkeborn","orcid":null},"institutions":[{"id":"https://openalex.org/I102134673","display_name":"Link\u00f6ping University","ror":"https://ror.org/05ynxx418","country_code":"SE","type":"education","lineage":["https://openalex.org/I102134673"]},{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU","SE"],"is_corresponding":false,"raw_author_name":"Rikard Falkeborn","raw_affiliation_strings":["School of Engineering and IT, University of New South Wales (UNSW Australia)","Link\u00f6ping University, Link\u00f6ping, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Engineering and IT, University of New South Wales (UNSW Australia)","institution_ids":["https://openalex.org/I31746571"]},{"raw_affiliation_string":"Link\u00f6ping University, Link\u00f6ping, Sweden","institution_ids":["https://openalex.org/I102134673"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113604613","display_name":"Anders Hansson","orcid":null},"institutions":[{"id":"https://openalex.org/I102134673","display_name":"Link\u00f6ping University","ror":"https://ror.org/05ynxx418","country_code":"SE","type":"education","lineage":["https://openalex.org/I102134673"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Anders Hansson","raw_affiliation_strings":["Link\u00f6ping University, Link\u00f6ping, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Link\u00f6ping University, Link\u00f6ping, Sweden","institution_ids":["https://openalex.org/I102134673"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"3202","last_page":"3207"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9976999759674072,"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":0.9951000213623047,"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/solver","display_name":"Solver","score":0.6163541674613953},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.6161218881607056},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5653992891311646},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5318061113357544},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.49577125906944275},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4470128118991852},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.4291872978210449},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3930625915527344},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36621272563934326}],"concepts":[{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.6163541674613953},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.6161218881607056},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5653992891311646},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5318061113357544},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.49577125906944275},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4470128118991852},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.4291872978210449},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3930625915527344},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36621272563934326},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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},{"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.23919/ecc.2009.7074898","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2009.7074898","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 European Control Conference (ECC)","raw_type":"proceedings-article"},{"id":"pmh:oai:DiVA.org:liu-56211","is_oa":true,"landing_page_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-56211","pdf_url":null,"source":{"id":"https://openalex.org/S4306401559","display_name":"KTH Publication Database DiVA (KTH Royal Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/report"}],"best_oa_location":{"id":"pmh:oai:DiVA.org:liu-56211","is_oa":true,"landing_page_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-56211","pdf_url":null,"source":{"id":"https://openalex.org/S4306401559","display_name":"KTH Publication Database DiVA (KTH Royal Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/report"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1967073510","https://openalex.org/W1982511487","https://openalex.org/W2041882293","https://openalex.org/W2062571764","https://openalex.org/W2069808690","https://openalex.org/W2077418568","https://openalex.org/W2088748973","https://openalex.org/W2108175518","https://openalex.org/W2113900808","https://openalex.org/W2170272205","https://openalex.org/W2536620281","https://openalex.org/W2561646501"],"related_works":["https://openalex.org/W3006682748","https://openalex.org/W1097487277","https://openalex.org/W2768610039","https://openalex.org/W4308265086","https://openalex.org/W2949964783","https://openalex.org/W2106889256","https://openalex.org/W2801357573","https://openalex.org/W2982363256","https://openalex.org/W2974000959","https://openalex.org/W3215977945"],"abstract_inverted_index":{"In":[0,40],"this":[1],"paper,":[2],"a":[3,41,45],"structure":[4,33],"exploiting":[5],"algorithm":[6,28,68],"for":[7],"semidefinite":[8],"programs":[9],"derived":[10],"from":[11],"the":[12,18,32,35,49,52,59,67,77],"Kalman-Yakubovich-Popov":[13],"lemma,":[14],"where":[15,31,44],"some":[16],"of":[17,34,51],"constraints":[19,23],"appear":[20],"as":[21],"complicating":[22],"is":[24,29,65,69],"presented.":[25],"A":[26],"decomposition":[27],"proposed,":[30],"problem":[36],"can":[37],"be":[38,72],"utilized.":[39],"numerical":[42],"example,":[43],"controller":[46],"that":[47],"minimizes":[48],"sum":[50],"H":[53,60],"<sub":[54,61],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[55,62],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sub>":[56],"-norm":[57,64],"and":[58,76],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\u221e</sub>":[63],"designed,":[66],"shown":[70],"to":[71],"faster":[73],"than":[74],"SeDuMi":[75],"special":[78],"purpose":[79],"solver":[80],"KYPD.":[81]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}