{"id":"https://openalex.org/W1513797375","doi":"https://doi.org/10.1109/cdc.2002.1184384","title":"Stability analysis and H/sub \u221e/ norm computation of 2-D discrete systems using linear matrix inequalities","display_name":"Stability analysis and H/sub \u221e/ norm computation of 2-D discrete systems using linear matrix inequalities","publication_year":2003,"publication_date":"2003-08-27","ids":{"openalex":"https://openalex.org/W1513797375","doi":"https://doi.org/10.1109/cdc.2002.1184384","mag":"1513797375"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2002.1184384","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2002.1184384","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 41st IEEE Conference on Decision and Control, 2002.","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/A5009547258","display_name":"Yasuaki Ito","orcid":"https://orcid.org/0000-0003-0593-231X"},"institutions":[{"id":"https://openalex.org/I98285908","display_name":"Osaka University","ror":"https://ror.org/035t8zc32","country_code":"JP","type":"education","lineage":["https://openalex.org/I98285908"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Y. Ito","raw_affiliation_strings":["Graduate School of Engineering, Osaka University, Suita, Osaka, Japan","Graduate School of Engineering Osaka University  Japan"],"affiliations":[{"raw_affiliation_string":"Graduate School of Engineering, Osaka University, Suita, Osaka, Japan","institution_ids":["https://openalex.org/I98285908"]},{"raw_affiliation_string":"Graduate School of Engineering Osaka University  Japan","institution_ids":["https://openalex.org/I98285908"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071048141","display_name":"Katsuhiko Hayashi","orcid":"https://orcid.org/0000-0001-7359-5939"},"institutions":[{"id":"https://openalex.org/I98285908","display_name":"Osaka University","ror":"https://ror.org/035t8zc32","country_code":"JP","type":"education","lineage":["https://openalex.org/I98285908"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"K. Hayashi","raw_affiliation_strings":["Graduate School of Engineering, Osaka University, Suita, Osaka, Japan","Graduate School of Engineering Osaka University  Japan"],"affiliations":[{"raw_affiliation_string":"Graduate School of Engineering, Osaka University, Suita, Osaka, Japan","institution_ids":["https://openalex.org/I98285908"]},{"raw_affiliation_string":"Graduate School of Engineering Osaka University  Japan","institution_ids":["https://openalex.org/I98285908"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110352673","display_name":"Haruo FUJIWARA","orcid":null},"institutions":[{"id":"https://openalex.org/I98285908","display_name":"Osaka University","ror":"https://ror.org/035t8zc32","country_code":"JP","type":"education","lineage":["https://openalex.org/I98285908"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"H. Fujiwara","raw_affiliation_strings":["Graduate School of Engineering, Osaka University, Suita, Osaka, Japan","Graduate School of Engineering Osaka University  Japan"],"affiliations":[{"raw_affiliation_string":"Graduate School of Engineering, Osaka University, Suita, Osaka, Japan","institution_ids":["https://openalex.org/I98285908"]},{"raw_affiliation_string":"Graduate School of Engineering Osaka University  Japan","institution_ids":["https://openalex.org/I98285908"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5009547258"],"corresponding_institution_ids":["https://openalex.org/I98285908"],"apc_list":null,"apc_paid":null,"fwci":1.6187,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.83797302,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"3","issue":null,"first_page":"3306","last_page":"3311"},"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":0.9988999962806702,"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/T10046","display_name":"Stability and Control of Uncertain Systems","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/T10805","display_name":"Vehicle Dynamics and Control Systems","score":0.9878000020980835,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive 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/T10690","display_name":"Vibration Control and Rheological Fluids","score":0.9855999946594238,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/fourier-series","display_name":"Fourier series","score":0.704421877861023},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6942822337150574},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.6234771609306335},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5535463094711304},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.5513378381729126},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.5197027325630188},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.45666083693504333},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4540577232837677},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2968546748161316},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2651742696762085},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.20985209941864014}],"concepts":[{"id":"https://openalex.org/C207864730","wikidata":"https://www.wikidata.org/wiki/Q179467","display_name":"Fourier series","level":2,"score":0.704421877861023},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6942822337150574},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.6234771609306335},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5535463094711304},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.5513378381729126},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.5197027325630188},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.45666083693504333},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4540577232837677},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2968546748161316},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2651742696762085},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.20985209941864014},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"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/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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2002.1184384","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2002.1184384","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 41st IEEE Conference on Decision and Control, 2002.","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":15,"referenced_works":["https://openalex.org/W1527288296","https://openalex.org/W1552767393","https://openalex.org/W1628175921","https://openalex.org/W1969463247","https://openalex.org/W2031993719","https://openalex.org/W2059331811","https://openalex.org/W2100858025","https://openalex.org/W2103313140","https://openalex.org/W2111930714","https://openalex.org/W2118318024","https://openalex.org/W2147863049","https://openalex.org/W2157192413","https://openalex.org/W2166180798","https://openalex.org/W2168805623","https://openalex.org/W2236733791"],"related_works":["https://openalex.org/W2046435967","https://openalex.org/W4231775656","https://openalex.org/W2383646825","https://openalex.org/W2371018915","https://openalex.org/W2354191502","https://openalex.org/W1972225038","https://openalex.org/W3134658850","https://openalex.org/W2355938171","https://openalex.org/W1854082044","https://openalex.org/W3169007055"],"abstract_inverted_index":{"This":[0,106],"paper":[1],"presents":[2],"a":[3,7],"stability":[4],"criterion":[5],"and":[6,29,50,92],"method":[8],"for":[9,46],"computing":[10],"the":[11,44,51,65,69,72,80,98],"H/sub":[12],"/spl":[13],"infin//":[14],"norm":[15],"of":[16,43,53,57,68,89],"2-D":[17],"discrete":[18],"systems.":[19],"Both":[20],"methods":[21,75,100],"are":[22,32,83],"based":[23],"on":[24],"linear":[25],"matrix":[26],"inequalities":[27],"(LMI),":[28],"hence,":[30],"they":[31],"computationally":[33],"tractable.":[34],"In":[35],"deriving":[36],"these":[37],"methods,":[38,71],"finite-order":[39,58],"Fourier":[40,59,86],"series":[41,60,87],"approximation":[42,88],"solution":[45],"frequency-dependent":[47],"LMI":[48],"(FDLMI),":[49],"properties":[52],"quadratic":[54],"form":[55],"representation":[56],"play":[61],"key":[62],"roles.":[63],"From":[64],"view":[66],"point":[67],"proposed":[70,99],"existing":[73],"LMI-based":[74],"can":[76],"be":[77],"regarded":[78],"as":[79],"ones":[81],"which":[82],"obtained":[84],"by":[85,109],"order":[90],"zero,":[91],"thus,":[93],"it":[94],"is":[95,107],"expected":[96],"that":[97],"lead":[101],"to":[102],"less":[103],"conservative":[104],"results.":[105],"illustrated":[108],"numerical":[110],"examples.":[111]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
