{"id":"https://openalex.org/W4391020641","doi":"https://doi.org/10.1109/cdc49753.2023.10383268","title":"A New Quasi-Finite-Rank Approximation of Compression Operators with Application to the $\\mathcal{L}_{1}$ Discretization for Sampled-Data Systems","display_name":"A New Quasi-Finite-Rank Approximation of Compression Operators with Application to the $\\mathcal{L}_{1}$ Discretization for Sampled-Data Systems","publication_year":2023,"publication_date":"2023-12-13","ids":{"openalex":"https://openalex.org/W4391020641","doi":"https://doi.org/10.1109/cdc49753.2023.10383268"},"language":"en","primary_location":{"id":"doi:10.1109/cdc49753.2023.10383268","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc49753.2023.10383268","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/A5006650276","display_name":"Dohyeok Kwak","orcid":"https://orcid.org/0000-0001-7368-2856"},"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":"Dohyeok Kwak","raw_affiliation_strings":["Pohang University of Science and Technology (POSTECH),Electrical Engineering,Pohang,Republic of Korea,37673"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Pohang University of Science and Technology (POSTECH),Electrical Engineering,Pohang,Republic of Korea,37673","institution_ids":["https://openalex.org/I123900574"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100333069","display_name":"Jung Hoon Kim","orcid":"https://orcid.org/0000-0002-5387-2895"},"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":"Jung Hoon Kim","raw_affiliation_strings":["Pohang University of Science and Technology (POSTECH),Department of Electrical Engineering,Pohang,Republic of Korea,37673"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Pohang University of Science and Technology (POSTECH),Department of Electrical Engineering,Pohang,Republic of Korea,37673","institution_ids":["https://openalex.org/I123900574"]}]},{"author_position":"last","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,Kyoto,Japan,615-8510"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Kyoto University,Department of Electrical Engineering,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":0.7883,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.68086313,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"8806","last_page":"8811"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11236","display_name":"Control Systems and Identification","score":0.9965999722480774,"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9954000115394592,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/discretization","display_name":"Discretization","score":0.6723936796188354},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.4712023437023163},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44659724831581116},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.43243855237960815},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4257994592189789},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41886961460113525},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3919949233531952},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34802860021591187},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2684171199798584},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2567521333694458},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1461322009563446}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6723936796188354},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.4712023437023163},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44659724831581116},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.43243855237960815},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4257994592189789},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41886961460113525},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3919949233531952},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34802860021591187},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2684171199798584},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2567521333694458},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1461322009563446}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc49753.2023.10383268","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc49753.2023.10383268","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1994929994","https://openalex.org/W1995902921","https://openalex.org/W1997111443","https://openalex.org/W1999935297","https://openalex.org/W2006516853","https://openalex.org/W2009478121","https://openalex.org/W2029107384","https://openalex.org/W2045834742","https://openalex.org/W2049027894","https://openalex.org/W2055604432","https://openalex.org/W2057042011","https://openalex.org/W2084911649","https://openalex.org/W2089794599","https://openalex.org/W2100094952","https://openalex.org/W2115096067","https://openalex.org/W2119702768","https://openalex.org/W2131965724","https://openalex.org/W2139571208","https://openalex.org/W2140974698","https://openalex.org/W2148074858","https://openalex.org/W2172119888","https://openalex.org/W2343497614","https://openalex.org/W2519437060","https://openalex.org/W2767056237","https://openalex.org/W3145240854"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2006251942","https://openalex.org/W2364741597","https://openalex.org/W1492103595","https://openalex.org/W1864774435","https://openalex.org/W946352265","https://openalex.org/W3020787026","https://openalex.org/W2826570026","https://openalex.org/W2085754006","https://openalex.org/W1774782920"],"abstract_inverted_index":{"This":[0,31],"paper":[1],"develops":[2],"a":[3,37,57,103,145],"new":[4,38,146],"<tex":[5,19,124,129,147],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[6,20,125,130,148],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$\\mathcal{L}_{1}$</tex>":[7,149],"discretization":[8,32,150],"procedure":[9,151],"for":[10,61,92,112,152],"sampled-data":[11,26,51,153],"systems,":[12],"in":[13],"which":[14],"the":[15,18,47,62,69,80,85,93,109,113,119,133],"minimization":[16,90],"of":[17,25,42,64,71,123,140],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$\\mathcal{L}_{\\infty}$</tex>":[21],".":[22],"Induced":[23],"norm":[24],"systems":[27],"is":[28,33,97,115,132],"concerned":[29],"with.":[30],"based":[34,83],"on":[35,84],"developing":[36],"quasi-finite-rank":[39],"approximation":[40,75,135],"(QFRA)":[41],"compression":[43,65,141],"operators":[44,66,142],"occurring":[45],"from":[46],"lifting-based":[48],"approach":[49],"to":[50,99,144],"systems.":[52,154],"More":[53],"precisely,":[54],"we":[55],"develop":[56],"more":[58],"sophisticated":[59],"method":[60,82],"QFRA":[63,95,114,139],"by":[67,117],"using":[68],"idea":[70],"piecewise":[72],"linear":[73,104],"kernel":[74],"(PLKA)":[76],"approach,":[77],"rather":[78],"than":[79],"conventional":[81],"fast-sample/fast-hold":[86],"(FSFH)":[87],"approach.":[88],"The":[89],"problem":[91],"corresponding":[94,134],"error":[96],"shown":[98],"be":[100],"solved":[101],"through":[102],"programming":[105],"(LP)":[106],"problem.":[107],"Furthermore,":[108],"theoretical":[110],"effectiveness":[111],"established":[116],"deriving":[118],"associated":[120],"convergence":[121],"rate":[122],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$1/M$</tex>":[126],",":[127],"where":[128],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$M$</tex>":[131],"parameter.":[136],"Finally,":[137],"this":[138],"leads":[143]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
