{"id":"https://openalex.org/W2568585091","doi":"https://doi.org/10.1109/cdc.2016.7798342","title":"Reduction of SDPs in H&lt;inf&gt;\u221e&lt;/inf&gt; control of SISO systems and performance limitations analysis","display_name":"Reduction of SDPs in H&lt;inf&gt;\u221e&lt;/inf&gt; control of SISO systems and performance limitations analysis","publication_year":2016,"publication_date":"2016-12-01","ids":{"openalex":"https://openalex.org/W2568585091","doi":"https://doi.org/10.1109/cdc.2016.7798342","mag":"2568585091"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2016.7798342","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2016.7798342","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":"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/A5080255628","display_name":"Hayato Waki","orcid":"https://orcid.org/0000-0002-0531-2201"},"institutions":[{"id":"https://openalex.org/I135598925","display_name":"Kyushu University","ror":"https://ror.org/00p4k0j84","country_code":"JP","type":"education","lineage":["https://openalex.org/I135598925"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Hayato Waki","raw_affiliation_strings":["Institute of Mathematics for Industry, Kyushu University, Fukuoka, Japan"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics for Industry, Kyushu University, Fukuoka, Japan","institution_ids":["https://openalex.org/I135598925"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042752122","display_name":"Yoshio Ebihara","orcid":"https://orcid.org/0000-0002-9342-1650"},"institutions":[{"id":"https://openalex.org/I190497903","display_name":"Laboratoire d'Analyse et d'Architecture des Syst\u00e8mes","ror":"https://ror.org/03vcm6439","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I134560555","https://openalex.org/I190497903","https://openalex.org/I196454796","https://openalex.org/I205747304","https://openalex.org/I205747304","https://openalex.org/I4210095849","https://openalex.org/I4210159245","https://openalex.org/I4387153255","https://openalex.org/I4405258862","https://openalex.org/I4405258862","https://openalex.org/I4405258862","https://openalex.org/I4405258862"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]}],"countries":["FR","JP"],"is_corresponding":false,"raw_author_name":"Yoshio Ebihara","raw_affiliation_strings":["CNRS, LAAS, Toulouse, France","Department of Electrical Engineering, Kyoto University, Kyoto, Japan"],"affiliations":[{"raw_affiliation_string":"CNRS, LAAS, Toulouse, France","institution_ids":["https://openalex.org/I190497903","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Department of Electrical Engineering, Kyoto University, Kyoto, Japan","institution_ids":["https://openalex.org/I22299242"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065503290","display_name":"Noboru Sebe","orcid":"https://orcid.org/0000-0002-1469-2322"},"institutions":[{"id":"https://openalex.org/I4210143983","display_name":"Kyushu Art Institute of Technology","ror":"https://ror.org/03t4t2e74","country_code":"JP","type":"education","lineage":["https://openalex.org/I4210143983"]},{"id":"https://openalex.org/I207014233","display_name":"Kyushu Institute of Technology","ror":"https://ror.org/02278tr80","country_code":"JP","type":"education","lineage":["https://openalex.org/I207014233"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Noboru Sebe","raw_affiliation_strings":["Department of Artificial Intelligence, Kyushu Institute of Technology, Fukuoka, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Artificial Intelligence, Kyushu Institute of Technology, Fukuoka, Japan","institution_ids":["https://openalex.org/I4210143983","https://openalex.org/I207014233"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5080255628"],"corresponding_institution_ids":["https://openalex.org/I135598925"],"apc_list":null,"apc_paid":null,"fwci":0.5356,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.71374328,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"646","last_page":"651"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9991000294685364,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9991000294685364,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9958000183105469,"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/T11081","display_name":"Advanced Control Systems Design","score":0.9916999936103821,"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/computation","display_name":"Computation","score":0.5345531702041626},{"id":"https://openalex.org/keywords/software","display_name":"Software","score":0.5250727534294128},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.5021512508392334},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.4826943874359131},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4725266098976135},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.45789793133735657},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44942545890808105},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.42292773723602295},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41208693385124207},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40720081329345703},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34723055362701416},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34123724699020386}],"concepts":[{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5345531702041626},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.5250727534294128},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.5021512508392334},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.4826943874359131},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4725266098976135},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.45789793133735657},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44942545890808105},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.42292773723602295},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41208693385124207},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40720081329345703},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34723055362701416},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34123724699020386},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2016.7798342","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2016.7798342","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1967073510","https://openalex.org/W2016696565","https://openalex.org/W2019016008","https://openalex.org/W2025486357","https://openalex.org/W2039867272","https://openalex.org/W2067395537","https://openalex.org/W2077088183","https://openalex.org/W2093897717","https://openalex.org/W2104296611","https://openalex.org/W2115424783","https://openalex.org/W2131588967","https://openalex.org/W2143533694","https://openalex.org/W2204678961","https://openalex.org/W2291470809","https://openalex.org/W2296319761","https://openalex.org/W2515108986","https://openalex.org/W2797819118","https://openalex.org/W4250589301"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W4231775656","https://openalex.org/W2046435967","https://openalex.org/W2383646825","https://openalex.org/W2371018915","https://openalex.org/W2317351040","https://openalex.org/W2354191502","https://openalex.org/W1972225038","https://openalex.org/W3134658850","https://openalex.org/W2532234348"],"abstract_inverted_index":{"In":[0,140,188],"SDP-based":[1],"H":[2,53,84,208,224],"<sub":[3,54,85,209,225],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[4,55,86,210,226],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\u221e</sub>":[5,56,87,211,227],"control,":[6,228],"we":[7,76,117,143,163,199],"often":[8],"encounter":[9],"numerical":[10,26,66,146,150,230],"difficulties":[11,67],"when":[12],"solving":[13],"SDPs":[14,51,128],"by":[15,102,145,155,185],"various":[16],"pieces":[17],"of":[18,49,90,107,113,126,130,178,182,194,204,219],"software.":[19,157],"It":[20],"is":[21,45,197],"empirically":[22],"known":[23],"that":[24,148],"such":[25,65],"difficulty":[27],"occurs":[28],"if":[29,191],"an":[30],"SDP":[31,81,122,156],"at":[32],"hand":[33],"or":[34,213],"its":[35,133,214],"dual":[36,80,121,134],"has":[37],"no":[38],"interior":[39,136],"point":[40,137],"feasible":[41,138],"solutions,":[42],"and":[43,97,132],"this":[44,74,141,189],"indeed":[46],"the":[47,79,83,91,105,114,119,159,176,192,205,220],"case":[48],"some":[50],"in":[52,68,73,217],"control.":[57],"To":[58],"conceive":[59],"a":[60,69,124],"way":[61],"for":[62,82],"getting":[63],"around":[64],"concrete":[70],"problem":[71,89],"setting,":[72],"paper,":[75],"focus":[77],"on":[78],"control":[88],"transfer":[92],"function":[93],"(1":[94],"+":[95],"PK)-1P":[96],"simplify":[98],"it.":[99],"More":[100],"precisely,":[101],"actively":[103],"using":[104],"information":[106],"unstable":[108,186,195,221],"zeros":[109,196],"(non-minimum":[110],"phase":[111],"zeros)":[112],"plant":[115],"P,":[116],"reduce":[118,173],"original":[120],"into":[123,175],"set":[125],"simplified":[127,166],"each":[129],"which":[131],"have":[135,164],"solutions.":[139],"way,":[142,190],"show":[144],"experiments":[147],"reliable":[149],"computation":[151,177],"can":[152,200],"be":[153],"done":[154],"On":[158],"other":[160],"hand,":[161],"once":[162],"obtained":[165],"SDPs,":[167],"it":[168],"becomes":[169],"possible":[170],"to":[171],"further":[172],"them":[174],"maximum":[179],"singular":[180],"values":[181],"matrices":[183],"determined":[184],"zeros.":[187,222],"number":[193],"moderate,":[198],"obtain":[201],"analytical":[202],"expressions":[203],"best":[206,232],"achievable":[207,233],"performance":[212],"lower":[215],"bounds":[216],"terms":[218],"Keywords:":[223],"SDP,":[229],"reliability,":[231],"performance.":[234]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
