{"id":"https://openalex.org/W1927013847","doi":"https://doi.org/10.1109/tac.2013.2289705","title":"Periodically Time-Varying ${\\cal H}_{\\infty}$ Memory Filter Design for Discrete-Time LTI Systems With Polytopic Uncertainty","display_name":"Periodically Time-Varying ${\\cal H}_{\\infty}$ Memory Filter Design for Discrete-Time LTI Systems With Polytopic Uncertainty","publication_year":2013,"publication_date":"2013-11-19","ids":{"openalex":"https://openalex.org/W1927013847","doi":"https://doi.org/10.1109/tac.2013.2289705","mag":"1927013847"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2013.2289705","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2013.2289705","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","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/A5100654320","display_name":"Dong Hwan Lee","orcid":"https://orcid.org/0000-0002-8681-099X"},"institutions":[{"id":"https://openalex.org/I193775966","display_name":"Yonsei University","ror":"https://ror.org/01wjejq96","country_code":"KR","type":"education","lineage":["https://openalex.org/I193775966"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Dong Hwan Lee","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Yonsei University, Seodaemun-gu, Seoul, Korea","[Dept. of Electr. & Electron. Eng., Yonsei Univ., Seoul, South Korea]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Yonsei University, Seodaemun-gu, Seoul, Korea","institution_ids":["https://openalex.org/I193775966"]},{"raw_affiliation_string":"[Dept. of Electr. & Electron. Eng., Yonsei Univ., Seoul, South Korea]","institution_ids":["https://openalex.org/I193775966"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051395190","display_name":"Young Hoon Joo","orcid":"https://orcid.org/0000-0002-4662-1916"},"institutions":[{"id":"https://openalex.org/I120158604","display_name":"Kunsan National University","ror":"https://ror.org/02yj55q56","country_code":"KR","type":"education","lineage":["https://openalex.org/I120158604"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Young Hoon Joo","raw_affiliation_strings":["Department of Control and Robotics Engineering, Kunsan National University, Kunsan, Chonbuk, Korea","Dept. of Control & Robot. Eng., Kunsan Nat. Univ., Kunsan, South Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Control and Robotics Engineering, Kunsan National University, Kunsan, Chonbuk, Korea","institution_ids":["https://openalex.org/I120158604"]},{"raw_affiliation_string":"Dept. of Control & Robot. Eng., Kunsan Nat. Univ., Kunsan, South Korea","institution_ids":["https://openalex.org/I120158604"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113456169","display_name":"Myung Hwan Tak","orcid":null},"institutions":[{"id":"https://openalex.org/I120158604","display_name":"Kunsan National University","ror":"https://ror.org/02yj55q56","country_code":"KR","type":"education","lineage":["https://openalex.org/I120158604"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Myung Hwan Tak","raw_affiliation_strings":["Department of Control and Robotics Engineering, Kunsan National University, Kunsan, Chonbuk, Korea","Dept. of Control & Robot. Eng., Kunsan Nat. Univ., Kunsan, South Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Control and Robotics Engineering, Kunsan National University, Kunsan, Chonbuk, Korea","institution_ids":["https://openalex.org/I120158604"]},{"raw_affiliation_string":"Dept. of Control & Robot. Eng., Kunsan Nat. Univ., Kunsan, South Korea","institution_ids":["https://openalex.org/I120158604"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":6.021,"has_fulltext":false,"cited_by_count":37,"citation_normalized_percentile":{"value":0.95828903,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"59","issue":"5","first_page":"1380","last_page":"1385"},"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":0.9997000098228455,"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/T10046","display_name":"Stability and Control of Uncertain Systems","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/T11236","display_name":"Control Systems and Identification","score":0.9952999949455261,"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":0.9932000041007996,"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/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.6739498972892761},{"id":"https://openalex.org/keywords/notation","display_name":"Notation","score":0.5586258769035339},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5000076293945312},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4919428527355194},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.47168734669685364},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.461700975894928},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.46019530296325684},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.4265187084674835},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3967137038707733},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3789781332015991},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3402625322341919},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.3352409601211548},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3340376317501068},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.15536046028137207},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.15057188272476196},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14523810148239136},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0961933434009552},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07913854718208313}],"concepts":[{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.6739498972892761},{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.5586258769035339},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5000076293945312},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4919428527355194},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.47168734669685364},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.461700975894928},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.46019530296325684},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.4265187084674835},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3967137038707733},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3789781332015991},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3402625322341919},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.3352409601211548},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3340376317501068},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.15536046028137207},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.15057188272476196},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14523810148239136},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0961933434009552},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07913854718208313},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2013.2289705","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2013.2289705","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1486262553","https://openalex.org/W1496845253","https://openalex.org/W1967073510","https://openalex.org/W1990608148","https://openalex.org/W2000733203","https://openalex.org/W2008957577","https://openalex.org/W2037272771","https://openalex.org/W2042741865","https://openalex.org/W2047975196","https://openalex.org/W2065548314","https://openalex.org/W2065593300","https://openalex.org/W2067495479","https://openalex.org/W2074088168","https://openalex.org/W2158618555","https://openalex.org/W2161507975","https://openalex.org/W2162719021","https://openalex.org/W2182510773","https://openalex.org/W2186764569","https://openalex.org/W2417903161","https://openalex.org/W2536620281","https://openalex.org/W3136837693","https://openalex.org/W3210839039"],"related_works":["https://openalex.org/W2053005959","https://openalex.org/W2144143333","https://openalex.org/W2299538996","https://openalex.org/W4386631510","https://openalex.org/W2027136373","https://openalex.org/W2276636510","https://openalex.org/W1990421243","https://openalex.org/W2105658174","https://openalex.org/W776139355","https://openalex.org/W2021257492"],"abstract_inverted_index":{"This":[0],"technical":[1],"note":[2],"focuses":[3],"on":[4],"the":[5,17,43],"development":[6],"of":[7,56],"a":[8],"general":[9],"periodically":[10],"time-varying":[11],"memory":[12],"filter":[13],"(PTVMF)":[14],"to":[15,41],"improve":[16],"robust":[18],"<formula":[19,44],"formulatype=\"inline\"":[20,45],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[21,46],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[22,47],"<tex":[23,48],"Notation=\"TeX\">${\\cal":[24,49],"H}_{\\infty}$</tex></formula>":[25,50],"filtering":[26],"performance":[27],"for":[28],"discrete-time":[29],"linear":[30,61],"time-invariant":[31],"(LTI)":[32],"systems":[33],"with":[34],"polytopic":[35],"parameter":[36],"uncertainties.":[37],"A":[38],"sufficient":[39],"condition":[40],"design":[42],"-PTVMF":[51],"is":[52],"given":[53],"in":[54],"terms":[55],"convex":[57],"optimizations":[58],"expressed":[59],"as":[60],"matrix":[62],"inequalities":[63],"(LMIs).":[64],"Finally,":[65],"examples":[66],"demonstrate":[67],"its":[68],"potential":[69],"less":[70],"conservatism.":[71]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}