{"id":"https://openalex.org/W2897051039","doi":"https://doi.org/10.1137/17m1123146","title":"The $L_\\infty/L_2$ Hankel Operator/ Norm of Sampled-Data Systems","display_name":"The $L_\\infty/L_2$ Hankel Operator/ Norm of Sampled-Data Systems","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2897051039","doi":"https://doi.org/10.1137/17m1123146","mag":"2897051039"},"language":"en","primary_location":{"id":"doi:10.1137/17m1123146","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1123146","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-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"]},{"id":"https://openalex.org/I4210140509","display_name":"Kyoto Katsura Hospital","ror":"https://ror.org/04w3ve464","country_code":"JP","type":"healthcare","lineage":["https://openalex.org/I4210140509"]},{"id":"https://openalex.org/I58716616","display_name":"Korea Institute of Science and Technology","ror":"https://ror.org/05kzfa883","country_code":"KR","type":"facility","lineage":["https://openalex.org/I27494661","https://openalex.org/I2801339556","https://openalex.org/I2801339556","https://openalex.org/I4210144908","https://openalex.org/I4387152098","https://openalex.org/I4387152098","https://openalex.org/I58716616"]}],"countries":["JP","KR"],"is_corresponding":false,"raw_author_name":"Tomomichi Hagiwara","raw_affiliation_strings":["Korea Institute of Science and Technology, 5, Hwarang-ro 14-gil, Seongbuk-gu, Seoul, 136-791, Republic of Korea","Kyoto University, Kyotodaigaku-Katsura, Nishikyo-ku, Kyoto 615-8510, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Korea Institute of Science and Technology, 5, Hwarang-ro 14-gil, Seongbuk-gu, Seoul, 136-791, Republic of Korea","institution_ids":["https://openalex.org/I58716616"]},{"raw_affiliation_string":"Kyoto University, Kyotodaigaku-Katsura, Nishikyo-ku, Kyoto 615-8510, Japan","institution_ids":["https://openalex.org/I4210140509","https://openalex.org/I22299242"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073457173","display_name":"Akira Inai","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Akira Inai","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5100333069","display_name":"Jung Hoon Kim","orcid":"https://orcid.org/0000-0002-5387-2895"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jung Hoon Kim","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4442,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.62685229,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"56","issue":"5","first_page":"3685","last_page":"3707"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9994999766349792,"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/T11236","display_name":"Control Systems and Identification","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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9965999722480774,"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/mathematics","display_name":"Mathematics","score":0.7777113318443298},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.7563134431838989},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5858202576637268},{"id":"https://openalex.org/keywords/hankel-matrix","display_name":"Hankel matrix","score":0.5659805536270142},{"id":"https://openalex.org/keywords/operator-norm","display_name":"Operator norm","score":0.5101268887519836},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34837400913238525},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3421989977359772},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.26000964641571045},{"id":"https://openalex.org/keywords/operator-theory","display_name":"Operator theory","score":0.18385648727416992}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7777113318443298},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.7563134431838989},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5858202576637268},{"id":"https://openalex.org/C25023664","wikidata":"https://www.wikidata.org/wiki/Q1575637","display_name":"Hankel matrix","level":2,"score":0.5659805536270142},{"id":"https://openalex.org/C68386474","wikidata":"https://www.wikidata.org/wiki/Q980557","display_name":"Operator norm","level":3,"score":0.5101268887519836},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34837400913238525},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3421989977359772},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26000964641571045},{"id":"https://openalex.org/C43929395","wikidata":"https://www.wikidata.org/wiki/Q1198874","display_name":"Operator theory","level":2,"score":0.18385648727416992},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/17m1123146","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1123146","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},{"id":"pmh:oai:oasis.postech.ac.kr:2014.oak/98861","is_oa":false,"landing_page_url":"https://oasis.postech.ac.kr/handle/2014.oak/98861","pdf_url":null,"source":{"id":"https://openalex.org/S4306401965","display_name":"Open Access System for Information Sharing (Pohang University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I123900574","host_organization_name":"Pohang University of Science and Technology","host_organization_lineage":["https://openalex.org/I123900574"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:repository.kulib.kyoto-u.ac.jp:2433/244854","is_oa":false,"landing_page_url":"http://hdl.handle.net/2433/244854","pdf_url":null,"source":{"id":"https://openalex.org/S4306401454","display_name":"Kyoto University Research Information Repository (Kyoto University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I22299242","host_organization_name":"Kyoto University","host_organization_lineage":["https://openalex.org/I22299242"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2908590518","display_name":"Quasi Hankel and Relevant Operators together with Their Norm Analysis Aiming at Challenging Control Performance Evaluation","funder_award_id":"18K04198","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G3686981022","display_name":"New Development for Control Performance Analysis of Continuous-Time and Sampled-Data Systems through Operator Theoretic Approach and Relevant Studies","funder_award_id":"15K06138","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1491941910","https://openalex.org/W1545968661","https://openalex.org/W1978083641","https://openalex.org/W1984714339","https://openalex.org/W1992686099","https://openalex.org/W1994929994","https://openalex.org/W1997111443","https://openalex.org/W2003883049","https://openalex.org/W2045834742","https://openalex.org/W2084911649","https://openalex.org/W2093100422","https://openalex.org/W2140974698","https://openalex.org/W2166713991","https://openalex.org/W2172119888","https://openalex.org/W2281965139","https://openalex.org/W2343497614","https://openalex.org/W2519437060","https://openalex.org/W2546803873","https://openalex.org/W2565040694","https://openalex.org/W2606637440","https://openalex.org/W3163659256","https://openalex.org/W4232159582"],"related_works":["https://openalex.org/W2508584870","https://openalex.org/W1663267668","https://openalex.org/W2298040314","https://openalex.org/W2374649169","https://openalex.org/W2023111059","https://openalex.org/W2101854716","https://openalex.org/W3184166521","https://openalex.org/W4386164526","https://openalex.org/W2048205257","https://openalex.org/W2055831555"],"abstract_inverted_index":{"This":[0],"paper":[1],"is":[2,92],"concerned":[3],"with":[4,53,85],"the":[5,9,33,36,42,51,54,58,62,66,73,77,86,89,96],"Hankel":[6,10,37,43],"operator":[7],"and":[8,61],"norm":[11,45,56,64,91],"of":[12,35,46],"sampled-data":[13,47],"systems.":[14],"Even":[15],"though":[16],"these":[17],"systems":[18,48],"are":[19],"intrinsically":[20],"periodically":[21],"time-varying,":[22],"no":[23],"studies":[24],"have":[25],"taken":[26],"this":[27],"important":[28],"feature":[29],"into":[30],"account":[31],"in":[32],"treatment":[34,52,70],"operator/":[38,44],"norm.":[39],"We":[40],"characterize":[41],"adequately":[49],"under":[50],"$L_2$":[55,90],"for":[57,65],"past":[59],"input":[60],"$L_\\infty$":[63],"future":[67,97],"output.":[68,98],"Such":[69],"still":[71],"captures":[72],"essential":[74],"issue":[75],"on":[76,95],"periodicity":[78],"but":[79],"contributes":[80],"to":[81],"neat":[82],"arguments":[83],"compared":[84],"case":[87],"when":[88],"also":[93],"considered":[94]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2}],"updated_date":"2026-07-09T07:52:08.696243","created_date":"2025-10-10T00:00:00"}