{"id":"https://openalex.org/W2008324844","doi":"https://doi.org/10.1109/acc.2014.6858764","title":"&amp;#x210B;&lt;inf&gt;2&lt;/inf&gt; guaranteed cost computation of discretized uncertain continuous-time systems","display_name":"&amp;#x210B;&lt;inf&gt;2&lt;/inf&gt; guaranteed cost computation of discretized uncertain continuous-time systems","publication_year":2014,"publication_date":"2014-06-01","ids":{"openalex":"https://openalex.org/W2008324844","doi":"https://doi.org/10.1109/acc.2014.6858764","mag":"2008324844"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2014.6858764","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2014.6858764","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 American Control Conference","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/A5044265891","display_name":"M\u00e1rcio F. Braga","orcid":null},"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":true,"raw_author_name":"Marcio F. Braga","raw_affiliation_strings":["School of Electrical and Computer Engineering, University of Campinas - UNICAMP, Av. Albert Einstein, 400, 13083-852, SP, Brazil","Sch. of Electr. & Comput. Eng., Univ. of Campinas UNICAMP, Campinas, Brazil"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, University of Campinas - UNICAMP, Av. Albert Einstein, 400, 13083-852, SP, Brazil","institution_ids":["https://openalex.org/I181391015"]},{"raw_affiliation_string":"Sch. of Electr. & Comput. Eng., Univ. of Campinas UNICAMP, Campinas, Brazil","institution_ids":["https://openalex.org/I181391015"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068032153","display_name":"Cec\u00edlia F. Morais","orcid":"https://orcid.org/0000-0002-9994-0339"},"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":"Cecilia F. Morais","raw_affiliation_strings":["School of Electrical and Computer Engineering, University of Campinas - UNICAMP, Av. Albert Einstein, 400, 13083-852, SP, Brazil","Sch. of Electr. & Comput. Eng., Univ. of Campinas UNICAMP, Campinas, Brazil"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, University of Campinas - UNICAMP, Av. Albert Einstein, 400, 13083-852, SP, Brazil","institution_ids":["https://openalex.org/I181391015"]},{"raw_affiliation_string":"Sch. of Electr. & Comput. Eng., Univ. of Campinas UNICAMP, Campinas, Brazil","institution_ids":["https://openalex.org/I181391015"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025872865","display_name":"Eduardo S. Tognetti","orcid":"https://orcid.org/0000-0002-2856-5172"},"institutions":[{"id":"https://openalex.org/I150729083","display_name":"Universidade de Bras\u00edlia","ror":"https://ror.org/02xfp8v59","country_code":"BR","type":"education","lineage":["https://openalex.org/I150729083"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Eduardo S. Tognetti","raw_affiliation_strings":["Department of Electrical Engineering, University of Brasilia - UnB, 70910-900, Bras\u00edlia, DF, Brazil","Dept. of Electr. Eng., Univ. of Brasilia (UnB), Brasilia, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Brasilia - UnB, 70910-900, Bras\u00edlia, DF, Brazil","institution_ids":["https://openalex.org/I150729083"]},{"raw_affiliation_string":"Dept. of Electr. Eng., Univ. of Brasilia (UnB), Brasilia, Brazil","institution_ids":["https://openalex.org/I150729083"]}]},{"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/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":"Ricardo C. L. F. Oliveira","raw_affiliation_strings":["School of Electrical and Computer Engineering, University of Campinas - UNICAMP, Av. Albert Einstein, 400, 13083-852, SP, Brazil","Sch. of Electr. & Comput. Eng., Univ. of Campinas UNICAMP, Campinas, Brazil"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, University of Campinas - UNICAMP, Av. Albert Einstein, 400, 13083-852, SP, Brazil","institution_ids":["https://openalex.org/I181391015"]},{"raw_affiliation_string":"Sch. of Electr. & Comput. Eng., Univ. of Campinas UNICAMP, Campinas, Brazil","institution_ids":["https://openalex.org/I181391015"]}]},{"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, University of Campinas - UNICAMP, Av. Albert Einstein, 400, 13083-852, SP, Brazil","Sch. of Electr. & Comput. Eng., Univ. of Campinas UNICAMP, Campinas, Brazil"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, University of Campinas - UNICAMP, Av. Albert Einstein, 400, 13083-852, SP, Brazil","institution_ids":["https://openalex.org/I181391015"]},{"raw_affiliation_string":"Sch. of Electr. & Comput. Eng., Univ. of Campinas UNICAMP, Campinas, Brazil","institution_ids":["https://openalex.org/I181391015"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5044265891"],"corresponding_institution_ids":["https://openalex.org/I181391015"],"apc_list":null,"apc_paid":null,"fwci":0.4103,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.67762172,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"51","issue":null,"first_page":"5073","last_page":"5078"},"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":0.9998999834060669,"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":0.9998999834060669,"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":0.9987000226974487,"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/T11236","display_name":"Control Systems and Identification","score":0.9973000288009644,"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/discretization","display_name":"Discretization","score":0.7186803817749023},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5894142985343933},{"id":"https://openalex.org/keywords/taylor-series","display_name":"Taylor series","score":0.5442491173744202},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5404620170593262},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5089750289916992},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.4965713620185852},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4802553951740265},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.4225690960884094},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3654511570930481},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21518158912658691},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08181822299957275},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.07861632108688354}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7186803817749023},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5894142985343933},{"id":"https://openalex.org/C158946198","wikidata":"https://www.wikidata.org/wiki/Q131187","display_name":"Taylor series","level":2,"score":0.5442491173744202},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5404620170593262},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5089750289916992},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.4965713620185852},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4802553951740265},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4225690960884094},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3654511570930481},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21518158912658691},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08181822299957275},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.07861632108688354},{"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/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/acc.2014.6858764","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2014.6858764","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 American Control Conference","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":21,"referenced_works":["https://openalex.org/W1511275238","https://openalex.org/W1552300625","https://openalex.org/W1571163720","https://openalex.org/W1938103316","https://openalex.org/W1966423558","https://openalex.org/W1967073510","https://openalex.org/W1969155119","https://openalex.org/W1971574297","https://openalex.org/W1976410223","https://openalex.org/W1994461320","https://openalex.org/W1999803714","https://openalex.org/W2018524696","https://openalex.org/W2021507233","https://openalex.org/W2042106612","https://openalex.org/W2059581739","https://openalex.org/W2059706201","https://openalex.org/W2063380011","https://openalex.org/W2065313971","https://openalex.org/W2101306342","https://openalex.org/W2536620281","https://openalex.org/W3210839039"],"related_works":["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/W2334479858","https://openalex.org/W2799209613","https://openalex.org/W2793786119","https://openalex.org/W2615217538"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"a":[3,19,97],"new":[4,100],"discretization":[5,80],"technique":[6],"with":[7,14,119],"constant":[8],"sampling":[9],"time":[10],"for":[11,46,106,116],"time-invariant":[12],"systems":[13,118],"uncertain":[15,94,124],"parameters":[16],"belonging":[17],"to":[18,25,84,149],"polytopic":[20],"domain.":[21],"The":[22,59,79],"aim":[23],"is":[24,42,63,89],"provide":[26],"an":[27,43],"equivalent":[28],"discrete-time":[29,61,117],"representation":[30],"of":[31,55,67,76,109,143],"the":[32,47,56,85,107,123,137,144,150,154,157,161,164,168],"continuous-time":[33,151],"system":[34,146],"whose":[35],"\u210b":[36,48,110,138],"<inf":[37,49,111,139],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[38,50,112,140],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</inf>":[39,51,113,141],"guaranteed":[40,114],"cost":[41],"upper":[44],"bound":[45],"worst":[52],"case":[53],"norm":[54],"original":[57],"system.":[58],"resulting":[60],"model":[62],"described":[64],"in":[65,156,163],"terms":[66],"homogeneous":[68],"polynomial":[69,120],"matrices":[70],"obtained":[71],"by":[72,91],"Taylor":[73,158],"series":[74,159],"expansion":[75],"degree":[77],"\u2113.":[78],"residual":[81],"error,":[82],"associated":[83],"chosen":[86],"approximation":[87],"degree,":[88],"represented":[90],"additive":[92,127],"norm-bounded":[93,128],"terms.":[95],"As":[96],"second":[98],"contribution,":[99],"linear":[101],"matrix":[102],"inequality":[103],"(LMI)":[104],"relaxations":[105],"computation":[108],"costs":[115,142],"dependence":[121],"on":[122],"parameter":[125],"and":[126,167],"uncertainties":[129],"are":[130],"proposed.":[131],"A":[132],"numerical":[133],"experiment":[134],"shows":[135],"that":[136],"discretized":[145],"become":[147],"tighter":[148],"ones":[152],"as":[153],"order":[155],"expansion,":[160],"degrees":[162],"Lyapunov":[165],"function":[166],"P\u00f3lya's":[169],"relaxation":[170],"level":[171],"increase.":[172]},"counts_by_year":[{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}