{"id":"https://openalex.org/W4391020328","doi":"https://doi.org/10.1109/cdc49753.2023.10384284","title":"L\u221e/ L<sub>2</sub> Hankel Norm Analysis and Characterization of Critical Instants for Continuous-Time Linear Periodically Time-Varying Systems","display_name":"L\u221e/ L<sub>2</sub> Hankel Norm Analysis and Characterization of Critical Instants for Continuous-Time Linear Periodically Time-Varying Systems","publication_year":2023,"publication_date":"2023-12-13","ids":{"openalex":"https://openalex.org/W4391020328","doi":"https://doi.org/10.1109/cdc49753.2023.10384284"},"language":"en","primary_location":{"id":"doi:10.1109/cdc49753.2023.10384284","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/cdc49753.2023.10384284","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 62nd IEEE 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/A5001719830","display_name":"Tomomichi Hagiwara","orcid":"https://orcid.org/0000-0002-9212-9551"},"institutions":[{"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":["JP"],"is_corresponding":false,"raw_author_name":"Tomomichi Hagiwara","raw_affiliation_strings":["Kyoto University,Department of Electrical Engineering,Nishikyo-ku,Kyoto,Japan,615-8510"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Kyoto University,Department of Electrical Engineering,Nishikyo-ku,Kyoto,Japan,615-8510","institution_ids":["https://openalex.org/I22299242"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5093745189","display_name":"Taichi Yuyama","orcid":null},"institutions":[{"id":"https://openalex.org/I123900574","display_name":"Pohang University of Science and Technology","ror":"https://ror.org/04xysgw12","country_code":"KR","type":"education","lineage":["https://openalex.org/I123900574"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Taichi Yuyama","raw_affiliation_strings":["Pohang University of Science and Technology,Department of Electrical Engineering,Pohang,Gyeongbuk,Republic of Korea","Department of Electrical Engineering, Pohang University of Science and Technology, Pohang, Gyeongbuk, Republic of Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Pohang University of Science and Technology,Department of Electrical Engineering,Pohang,Gyeongbuk,Republic of Korea","institution_ids":["https://openalex.org/I123900574"]},{"raw_affiliation_string":"Department of Electrical Engineering, Pohang University of Science and Technology, Pohang, Gyeongbuk, Republic of Korea","institution_ids":["https://openalex.org/I123900574"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100333069","display_name":"Jung Hoon Kim","orcid":"https://orcid.org/0000-0002-5387-2895"},"institutions":[{"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":["JP"],"is_corresponding":false,"raw_author_name":"Jung Hoon Kim","raw_affiliation_strings":["Kyoto University,Department of Electrical Engineering,Nishikyo-ku,Kyoto,Japan,615-8510"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Kyoto University,Department of Electrical Engineering,Nishikyo-ku,Kyoto,Japan,615-8510","institution_ids":["https://openalex.org/I22299242"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.22604456,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"8757","last_page":"8762"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9997000098228455,"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/T11236","display_name":"Control Systems and Identification","score":0.9997000098228455,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9995999932289124,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5955343246459961},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37532874941825867},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3613009452819824},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3544212877750397},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33876681327819824},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.09602856636047363}],"concepts":[{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5955343246459961},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37532874941825867},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3613009452819824},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3544212877750397},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33876681327819824},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.09602856636047363},{"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/cdc49753.2023.10384284","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/cdc49753.2023.10384284","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 62nd IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1588998206","https://openalex.org/W1984714339","https://openalex.org/W1986048785","https://openalex.org/W2084911649","https://openalex.org/W2128065008","https://openalex.org/W2140974698","https://openalex.org/W2166713991","https://openalex.org/W2172119888","https://openalex.org/W2565040694","https://openalex.org/W2579811887","https://openalex.org/W2897051039","https://openalex.org/W2984822895","https://openalex.org/W3117052000","https://openalex.org/W3163659256","https://openalex.org/W3209988537","https://openalex.org/W4232159582","https://openalex.org/W4294982651"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2051487156","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"This":[0],"paper":[1],"is":[2,20,42,55,69,86,98,124,129,135],"concerned":[3],"with":[4,109],"the":[5,24,35,44,74,90,122,127,140,147,151,168],"Hankel":[6,49,79,94,115,173],"norm":[7,50,63],"analysis":[8],"of":[9,37,61,73,120,142,153],"linear":[10],"periodically":[11],"time-varying":[12],"systems.":[13],"An":[14],"arbitrary":[15],"<tex":[16,31,46,52,66,76,82,91,112,170,176],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[17,32,47,53,67,77,83,92,113,171,177],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$\\Theta\\in[0,\\":[18,84,178],"h)$</tex>":[19,85],"first":[21],"taken":[22],"as":[23,89,126],"instant":[25,145],"separating":[26],"past":[27],"and":[28,40,96,138],"future,":[29],"where":[30],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$h$</tex>":[33],"denotes":[34],"period":[36],"such":[38],"systems,":[39],"what":[41],"called":[43],"quasi":[45,75,111,169],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$L_{\\infty}/L_{2}$</tex>":[48,78,93,114,172],"at":[51],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$\\Theta$</tex>":[54,68],"defined.":[56],"Then,":[57],"a":[58,143],"computation":[59],"method":[60],"this":[62],"for":[64],"each":[65],"derived.":[70],"The":[71],"supremum":[72,123],"norms":[80,174],"over":[81,175],"further":[87],"defined":[88],"norm,":[95],"it":[97,102,134],"also":[99,130],"shown":[100],"that":[101],"can":[103,159],"be":[104,160],"computed":[105],"directly":[106],"without":[107,162],"dealing":[108],"any":[110,166],"norms.":[116],"A":[117],"relevant":[118],"question":[119],"whether":[121],"attained":[125],"maximum":[128,148],"studied.":[131],"In":[132],"particular,":[133],"discussed":[136],"when":[137],"how":[139],"existence/absence":[141],"critical":[144,154],"attaining":[146],"(and":[149],"all":[150,164],"values":[152],"instants,":[155],"if":[156],"one":[157],"exists)":[158],"determined":[161],"computing":[163],"(or":[165],"of)":[167],"h)$</tex>.":[179]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}