{"id":"https://openalex.org/W2491705591","doi":"https://doi.org/10.1109/acc.2016.7525478","title":"New approach to H\u221e filtering for uncertain discrete-time linear systems in finite frequency domain","display_name":"New approach to H\u221e filtering for uncertain discrete-time linear systems in finite frequency domain","publication_year":2016,"publication_date":"2016-07-01","ids":{"openalex":"https://openalex.org/W2491705591","doi":"https://doi.org/10.1109/acc.2016.7525478","mag":"2491705591"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2016.7525478","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2016.7525478","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 American Control Conference (ACC)","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/A5022215091","display_name":"Doha El Hellani","orcid":"https://orcid.org/0000-0002-5904-5153"},"institutions":[{"id":"https://openalex.org/I4647051","display_name":"Universit\u00e9 de Picardie Jules Verne","ror":"https://ror.org/01gyxrk03","country_code":"FR","type":"education","lineage":["https://openalex.org/I4647051"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"D. El Hellani","raw_affiliation_strings":["UFR Sciences, University of Picardie Jules Verne, Amiens, France"],"affiliations":[{"raw_affiliation_string":"UFR Sciences, University of Picardie Jules Verne, Amiens, France","institution_ids":["https://openalex.org/I4647051"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108003558","display_name":"Ahmed El Hajjaji","orcid":"https://orcid.org/0000-0002-9380-9890"},"institutions":[{"id":"https://openalex.org/I4647051","display_name":"Universit\u00e9 de Picardie Jules Verne","ror":"https://ror.org/01gyxrk03","country_code":"FR","type":"education","lineage":["https://openalex.org/I4647051"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"A. El Hajjaji","raw_affiliation_strings":["UFR Sciences, University of Picardie Jules Verne, Amiens, France"],"affiliations":[{"raw_affiliation_string":"UFR Sciences, University of Picardie Jules Verne, Amiens, France","institution_ids":["https://openalex.org/I4647051"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083783462","display_name":"Roger Ceschi","orcid":null},"institutions":[{"id":"https://openalex.org/I4210119860","display_name":"Laboratoire d'\u00e9tudes sur les monoth\u00e9ismes","ror":"https://ror.org/02m0hy518","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I159885104","https://openalex.org/I203339264","https://openalex.org/I2746051580","https://openalex.org/I39804081","https://openalex.org/I4210119860","https://openalex.org/I4210150854","https://openalex.org/I4405259976"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"R. Ceschi","raw_affiliation_strings":["ESIGETEL, Villejuif, France"],"affiliations":[{"raw_affiliation_string":"ESIGETEL, Villejuif, France","institution_ids":["https://openalex.org/I4210119860"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5022215091"],"corresponding_institution_ids":["https://openalex.org/I4647051"],"apc_list":null,"apc_paid":null,"fwci":1.339,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.82207098,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"5","issue":null,"first_page":"3638","last_page":"3643"},"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":0.9998000264167786,"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":0.9998000264167786,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9940999746322632,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9879000186920166,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.732501745223999},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.6766877174377441},{"id":"https://openalex.org/keywords/frequency-domain","display_name":"Frequency domain","score":0.6484532952308655},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6396826505661011},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5586634874343872},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.539618968963623},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.52700275182724},{"id":"https://openalex.org/keywords/kalman-filter","display_name":"Kalman filter","score":0.5068696141242981},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46008777618408203},{"id":"https://openalex.org/keywords/degrees-of-freedom","display_name":"Degrees of freedom (physics and chemistry)","score":0.4314859211444855},{"id":"https://openalex.org/keywords/finite-set","display_name":"Finite set","score":0.4311324954032898},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.42891258001327515},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.4280732274055481},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.42164507508277893},{"id":"https://openalex.org/keywords/filtering-problem","display_name":"Filtering problem","score":0.4203769564628601},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3075265884399414},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.28636565804481506},{"id":"https://openalex.org/keywords/extended-kalman-filter","display_name":"Extended Kalman filter","score":0.15654334425926208},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15055784583091736},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.09641602635383606}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.732501745223999},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.6766877174377441},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.6484532952308655},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6396826505661011},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5586634874343872},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.539618968963623},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.52700275182724},{"id":"https://openalex.org/C157286648","wikidata":"https://www.wikidata.org/wiki/Q846780","display_name":"Kalman filter","level":2,"score":0.5068696141242981},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46008777618408203},{"id":"https://openalex.org/C208081375","wikidata":"https://www.wikidata.org/wiki/Q274502","display_name":"Degrees of freedom (physics and chemistry)","level":2,"score":0.4314859211444855},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.4311324954032898},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.42891258001327515},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.4280732274055481},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.42164507508277893},{"id":"https://openalex.org/C41614226","wikidata":"https://www.wikidata.org/wiki/Q5449244","display_name":"Filtering problem","level":4,"score":0.4203769564628601},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3075265884399414},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.28636565804481506},{"id":"https://openalex.org/C206833254","wikidata":"https://www.wikidata.org/wiki/Q5421817","display_name":"Extended Kalman filter","level":3,"score":0.15654334425926208},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15055784583091736},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.09641602635383606},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2016.7525478","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2016.7525478","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 American Control Conference (ACC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6200000047683716,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"},{"score":0.41999998688697815,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W973758022","https://openalex.org/W1521064924","https://openalex.org/W1879057180","https://openalex.org/W1909274923","https://openalex.org/W1927395284","https://openalex.org/W1974860912","https://openalex.org/W1978495673","https://openalex.org/W1993027129","https://openalex.org/W2000733203","https://openalex.org/W2037272771","https://openalex.org/W2054723537","https://openalex.org/W2057673412","https://openalex.org/W2058201590","https://openalex.org/W2068134512","https://openalex.org/W2078060826","https://openalex.org/W2096831575","https://openalex.org/W2101922620","https://openalex.org/W2106068921","https://openalex.org/W2108489060","https://openalex.org/W2128617559","https://openalex.org/W2153986100","https://openalex.org/W2186764569","https://openalex.org/W2213936891","https://openalex.org/W2330932380"],"related_works":["https://openalex.org/W3006682748","https://openalex.org/W1097487277","https://openalex.org/W2949964783","https://openalex.org/W2768610039","https://openalex.org/W3121250382","https://openalex.org/W4285390085","https://openalex.org/W31688704","https://openalex.org/W2486108717","https://openalex.org/W2045065070","https://openalex.org/W376222618"],"abstract_inverted_index":{"The":[0],"problem":[1],"of":[2,37,43,51,79,103,138],"finite":[3],"frequency":[4],"(FF)":[5],"H\u221e":[6,45,64,109],"full-order":[7],"filtering":[8,57],"design":[9],"for":[10,40],"discrete-time":[11],"linear":[12],"systems,":[13],"with":[14,144],"polytopic":[15],"uncertainties,":[16],"is":[17,60,73,128],"investigated":[18],"in":[19,49,75,84,105,142],"this":[20],"paper.":[21],"Based":[22],"on":[23],"the":[24,41,44,56,63,70,76,80,90,107,118,132,135,139,145],"generalized":[25],"Kalman-Yakubovich-Popov":[26],"(GKYP)":[27],"lemma":[28,97],"and":[29,62,88,111,134],"a":[30,35],"parameter":[31],"dependent":[32],"Lyapunov":[33],"function,":[34],"set":[36],"sufficient":[38],"conditions":[39],"existence":[42],"filter":[46,119],"are":[47],"established":[48],"terms":[50],"matrix":[52,92],"inequalities,":[53,93],"ensuring":[54],"that":[55],"error":[58,72],"system":[59],"stable":[61],"attenuation":[65],"level":[66],"from":[67],"disturbance":[68],"to":[69,86,130],"estimation":[71],"minimized":[74],"FF":[77],"domain":[78],"external":[81],"disturbances.":[82],"Then,":[83],"order":[85],"linearize":[87],"relax":[89],"obtained":[91],"we":[94,112,115],"apply":[95],"Finsler's":[96],"twice,":[98],"which":[99],"provides":[100],"extra":[101],"degrees":[102],"freedom":[104],"optimizing":[106],"guaranteed":[108],"performance,":[110],"show":[113],"how":[114],"can":[116],"calculate":[117],"gain":[120],"matrices":[121],"by":[122],"using":[123],"these":[124],"conditions.":[125],"Numerical":[126],"example":[127],"given":[129],"illustrate":[131],"effectiveness":[133],"less":[136],"conservatism":[137],"proposed":[140],"approach":[141],"comparison":[143],"existing":[146],"methods.":[147]},"counts_by_year":[{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}