{"id":"https://openalex.org/W2104530939","doi":"https://doi.org/10.1109/cdc.2008.4738867","title":"H&lt;sub&gt;&amp;#x221E;&lt;/sub&gt; filtering of time-varying systems with bounded rates of variation","display_name":"H&lt;sub&gt;&amp;#x221E;&lt;/sub&gt; filtering of time-varying systems with bounded rates of variation","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W2104530939","doi":"https://doi.org/10.1109/cdc.2008.4738867","mag":"2104530939"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2008.4738867","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2008.4738867","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 47th IEEE Conference on Decision and Control","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://digitalrepository.unm.edu/cgi/viewcontent.cgi?article=1074&context=ece_fsp","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030639194","display_name":"Renato Alves Borges","orcid":"https://orcid.org/0000-0002-6072-8621"},"institutions":[{"id":"https://openalex.org/I169521973","display_name":"University of New Mexico","ror":"https://ror.org/05fs6jp91","country_code":"US","type":"education","lineage":["https://openalex.org/I169521973"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Renato A. Borges","raw_affiliation_strings":["Electrical and Computer Engineering Department, University of New Mexico, USA","Electr. & Comput. Eng. Dept., Univ. of New Mexico, NM, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering Department, University of New Mexico, USA","institution_ids":["https://openalex.org/I169521973"]},{"raw_affiliation_string":"Electr. & Comput. Eng. Dept., Univ. of New Mexico, NM, USA","institution_ids":["https://openalex.org/I169521973"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086811845","display_name":"Ricardo C. L. F. Oliveira","orcid":"https://orcid.org/0000-0002-8225-7058"},"institutions":[{"id":"https://openalex.org/I169521973","display_name":"University of New Mexico","ror":"https://ror.org/05fs6jp91","country_code":"US","type":"education","lineage":["https://openalex.org/I169521973"]},{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR","US"],"is_corresponding":false,"raw_author_name":"Ricardo C. L. F. Oliveira","raw_affiliation_strings":["School of Electrical and Computer Engineering, State University of Campinas-UNICAMP, Sao Paulo, Brazil","Electr. & Comput. Eng. Dept., Univ. of New Mexico, NM, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, State University of Campinas-UNICAMP, Sao Paulo, Brazil","institution_ids":["https://openalex.org/I181391015"]},{"raw_affiliation_string":"Electr. & Comput. Eng. Dept., Univ. of New Mexico, NM, USA","institution_ids":["https://openalex.org/I169521973"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025532495","display_name":"Chaouki T. Abdallah","orcid":"https://orcid.org/0000-0001-8259-097X"},"institutions":[{"id":"https://openalex.org/I169521973","display_name":"University of New Mexico","ror":"https://ror.org/05fs6jp91","country_code":"US","type":"education","lineage":["https://openalex.org/I169521973"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chaouki T. Abdallah","raw_affiliation_strings":["Electrical and Computer Engineering Department, MSC01 1100 1 University of New Mexico, Albuquerque, NM, USA","Electr. & Comput. Eng. Dept, Univ. of New Mexico, Albuquerque, NM, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering Department, MSC01 1100 1 University of New Mexico, Albuquerque, NM, USA","institution_ids":["https://openalex.org/I169521973"]},{"raw_affiliation_string":"Electr. & Comput. Eng. Dept, Univ. of New Mexico, Albuquerque, NM, USA","institution_ids":["https://openalex.org/I169521973"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067189335","display_name":"Pedro L. D. Peres","orcid":"https://orcid.org/0000-0002-6371-7338"},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Pedro L. D. Peres","raw_affiliation_strings":["School of Electrical and Computer Engineering, State University of Campinas-UNICAMP, Sao Paulo, Brazil","Sch. of Electr. & Comput. Eng, Univ. of Campinas, Campinas, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, State University of Campinas-UNICAMP, Sao Paulo, Brazil","institution_ids":["https://openalex.org/I181391015"]},{"raw_affiliation_string":"Sch. of Electr. & Comput. Eng, Univ. of Campinas, Campinas, Brazil","institution_ids":["https://openalex.org/I181391015"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.6564,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.86879081,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1678","last_page":"1683"},"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":0.9987000226974487,"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":0.9987000226974487,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.991599977016449,"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":0.9807999730110168,"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/bounded-function","display_name":"Bounded function","score":0.7452653050422668},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5522689819335938},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.548901379108429},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5345714688301086},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5130602121353149},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4838384687900543},{"id":"https://openalex.org/keywords/bounded-variation","display_name":"Bounded variation","score":0.4824562668800354},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.4669334292411804},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.46502041816711426},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.4305483102798462},{"id":"https://openalex.org/keywords/filter-design","display_name":"Filter design","score":0.4296361804008484},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.42467084527015686},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4227994978427887},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.4180717170238495},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.4152308702468872},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37396469712257385},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3734138309955597},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.18441841006278992},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.1801527440547943},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14971083402633667},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09952530264854431},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09639731049537659},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.0884682834148407}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7452653050422668},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5522689819335938},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.548901379108429},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5345714688301086},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5130602121353149},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4838384687900543},{"id":"https://openalex.org/C27851653","wikidata":"https://www.wikidata.org/wiki/Q829653","display_name":"Bounded variation","level":2,"score":0.4824562668800354},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.4669334292411804},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.46502041816711426},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.4305483102798462},{"id":"https://openalex.org/C22597639","wikidata":"https://www.wikidata.org/wiki/Q5449227","display_name":"Filter design","level":3,"score":0.4296361804008484},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.42467084527015686},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4227994978427887},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4180717170238495},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.4152308702468872},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37396469712257385},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3734138309955597},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.18441841006278992},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.1801527440547943},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14971083402633667},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09952530264854431},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09639731049537659},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0884682834148407},{"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/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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","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},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2008.4738867","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2008.4738867","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 47th IEEE Conference on Decision and Control","raw_type":"proceedings-article"},{"id":"pmh:oai:digitalrepository.unm.edu:ece_fsp-1074","is_oa":true,"landing_page_url":"https://digitalrepository.unm.edu/ece_fsp/75","pdf_url":"https://digitalrepository.unm.edu/cgi/viewcontent.cgi?article=1074&context=ece_fsp","source":{"id":"https://openalex.org/S4377196368","display_name":"UNM\u2019s Digital Repository (University of New Mexico)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169521973","host_organization_name":"University of New Mexico","host_organization_lineage":["https://openalex.org/I169521973"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Electrical & Computer Engineering Faculty Publications","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:digitalrepository.unm.edu:ece_fsp-1074","is_oa":true,"landing_page_url":"https://digitalrepository.unm.edu/ece_fsp/75","pdf_url":"https://digitalrepository.unm.edu/cgi/viewcontent.cgi?article=1074&context=ece_fsp","source":{"id":"https://openalex.org/S4377196368","display_name":"UNM\u2019s Digital Repository (University of New Mexico)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169521973","host_organization_name":"University of New Mexico","host_organization_lineage":["https://openalex.org/I169521973"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Electrical & Computer Engineering Faculty Publications","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2104530939.pdf","grobid_xml":"https://content.openalex.org/works/W2104530939.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W94566284","https://openalex.org/W1547135986","https://openalex.org/W1599634084","https://openalex.org/W1927395284","https://openalex.org/W1967073510","https://openalex.org/W2023285936","https://openalex.org/W2025658016","https://openalex.org/W2030120923","https://openalex.org/W2031467798","https://openalex.org/W2043363105","https://openalex.org/W2045940545","https://openalex.org/W2054868199","https://openalex.org/W2137229244","https://openalex.org/W2137801901","https://openalex.org/W2143520379","https://openalex.org/W2145734766","https://openalex.org/W2148466743","https://openalex.org/W2148926497","https://openalex.org/W2152185917","https://openalex.org/W2158347949","https://openalex.org/W2158618555","https://openalex.org/W2161612727","https://openalex.org/W2169240550","https://openalex.org/W2177989497","https://openalex.org/W2536620281","https://openalex.org/W2615008394","https://openalex.org/W3210839039"],"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/W2801357573","https://openalex.org/W2974000959","https://openalex.org/W2151481036"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"the":[3,33,45,52,58,70,103,109],"problem":[4],"of":[5,17,51,60,69,102],"robust":[6,37],"filter":[7],"design":[8,22,82],"for":[9,86],"time-varying":[10],"discrete-time":[11],"polytopic":[12,93],"systems":[13,94],"with":[14],"bounded":[15],"rates":[16],"variation":[18,73],"is":[19,55],"investigated.":[20],"The":[21],"conditions":[23],"are":[24],"obtained":[25,56,97],"by":[26],"using":[27],"a":[28,99],"parameter-dependent":[29],"Lyapunov":[30],"function":[31],"and":[32],"Finsler's":[34],"Lemma.":[35],"A":[36,64],"filter,":[38],"that":[39],"minimizes":[40],"an":[41,61],"upper":[42],"bound":[43],"to":[44,78],"H":[46],"<sub":[47],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[48],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\u221e</sub>":[49],"performance":[50],"estimation":[53],"error,":[54],"as":[57,88,90,98],"solution":[59],"optimization":[62],"problem.":[63],"more":[65],"precise":[66],"geometric":[67],"representation":[68],"parameter":[71],"time":[72],"was":[74],"used":[75],"in":[76],"order":[77],"obtain":[79],"less":[80],"conservative":[81],"conditions.":[83],"Robust":[84],"filters":[85],"time-invariant,":[87],"well":[89],"arbitrarily":[91],"time-varying,":[92],"can":[95],"be":[96],"particular":[100],"case":[101],"proposed":[104],"method.":[105],"Numerical":[106],"examples":[107],"illustrate":[108],"results.":[110]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2016-06-24T00:00:00"}