{"id":"https://openalex.org/W2972440473","doi":"https://doi.org/10.23919/acc.2019.8814458","title":"Robust stability, $\\mathscr{H}_{2}$ and $\\mathscr{H}_{\\infty}$ guaranteed costs for discrete time-varying uncertain linear systems with constrained parameter variations","display_name":"Robust stability, $\\mathscr{H}_{2}$ and $\\mathscr{H}_{\\infty}$ guaranteed costs for discrete time-varying uncertain linear systems with constrained parameter variations","publication_year":2019,"publication_date":"2019-07-01","ids":{"openalex":"https://openalex.org/W2972440473","doi":"https://doi.org/10.23919/acc.2019.8814458","mag":"2972440473"},"language":"en","primary_location":{"id":"doi:10.23919/acc.2019.8814458","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc.2019.8814458","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 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/A5027789666","display_name":"Ari\u00e1dne L. J. Bertolin","orcid":"https://orcid.org/0000-0002-7465-1151"},"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":"Ariadne L. J. Bertolin","raw_affiliation_strings":["UNICAMP, University of Campinas, Campinas, SP, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"UNICAMP, University of Campinas, Campinas, SP, Brazil","institution_ids":["https://openalex.org/I181391015"]}]},{"author_position":"middle","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":["UNICAMP, University of Campinas, Campinas, SP, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"UNICAMP, University of Campinas, Campinas, SP, Brazil","institution_ids":["https://openalex.org/I181391015"]}]},{"author_position":"last","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":["UNICAMP, University of Campinas, Campinas, SP, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"UNICAMP, University of Campinas, Campinas, SP, Brazil","institution_ids":["https://openalex.org/I181391015"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1686,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.48776644,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"4541","last_page":"4546"},"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":1.0,"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":1.0,"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":0.9965000152587891,"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":0.988099992275238,"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/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.681266188621521},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6296463012695312},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47409021854400635},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4695335626602173},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.464931458234787},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.45501863956451416},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4537442624568939},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.44536179304122925},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4307840168476105},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41114044189453125},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3564302921295166},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35245946049690247},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.34658297896385193},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2842619717121124},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14140954613685608},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.13919666409492493},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07772636413574219}],"concepts":[{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.681266188621521},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6296463012695312},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47409021854400635},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4695335626602173},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.464931458234787},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.45501863956451416},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4537442624568939},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.44536179304122925},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4307840168476105},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41114044189453125},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3564302921295166},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35245946049690247},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.34658297896385193},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2842619717121124},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14140954613685608},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.13919666409492493},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07772636413574219},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"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:10.23919/acc.2019.8814458","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc.2019.8814458","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 American Control Conference (ACC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1524886571","https://openalex.org/W1539733651","https://openalex.org/W1596877211","https://openalex.org/W1972637217","https://openalex.org/W1981518949","https://openalex.org/W1983281982","https://openalex.org/W2004374214","https://openalex.org/W2013115301","https://openalex.org/W2021507233","https://openalex.org/W2021510361","https://openalex.org/W2036031971","https://openalex.org/W2048772796","https://openalex.org/W2054868199","https://openalex.org/W2057000602","https://openalex.org/W2060977384","https://openalex.org/W2065548314","https://openalex.org/W2070830320","https://openalex.org/W2073004701","https://openalex.org/W2077509194","https://openalex.org/W2111394600","https://openalex.org/W2161507975","https://openalex.org/W2163386904","https://openalex.org/W2164334325","https://openalex.org/W2170371956","https://openalex.org/W2170776442","https://openalex.org/W2172672885","https://openalex.org/W2536620281","https://openalex.org/W2900533385","https://openalex.org/W3210839039"],"related_works":["https://openalex.org/W3013085049","https://openalex.org/W1560496689","https://openalex.org/W1992739770","https://openalex.org/W4386900933","https://openalex.org/W4231775656","https://openalex.org/W4229058035","https://openalex.org/W2046435967","https://openalex.org/W3102460617","https://openalex.org/W1990502710","https://openalex.org/W2159479095"],"abstract_inverted_index":{"This":[0],"paper":[1],"is":[2],"concerned":[3],"with":[4,34,115,138],"the":[5,42,61,84,88,125,136],"problems":[6],"of":[7,13,58,87],"robust":[8,100],"stability":[9,101],"analysis":[10],"and":[11,53,102],"computation":[12],"H":[14,19],"<sub":[15,20,24],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[16,21,25],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sub>":[17,26],"or":[18],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\u221e</sub>":[22],"(\u2113":[23],"-gain)":[27],"guaranteed":[28,103],"costs":[29,104],"for":[30,99],"discrete-time":[31,74],"linear":[32,110],"systems":[33],"time-varying":[35,43,62],"parameters.":[36],"Two":[37],"cases":[38],"are":[39,45],"investigated:":[40],"i)":[41],"parameters":[44,63],"assumed":[46],"to":[47,49,54,91],"belong":[48],"a":[50,65,73,92],"known":[51,66],"interval":[52],"have":[55],"bounded":[56],"rates":[57],"variation;":[59],"ii)":[60],"follow":[64],"dynamics":[67],"that":[68,81,105,124],"can":[69,106,128],"be":[70,107,129],"represented":[71],"through":[72],"state":[75],"space":[76],"equation.":[77],"A":[78],"Lyapunov":[79],"function":[80],"depends":[82],"on":[83],"uncertain":[85],"matrix":[86,111],"system":[89],"up":[90],"certain":[93],"degree":[94],"\u03ba":[95,119],"-1":[96],"provides":[97],"certificates":[98],"cast":[108],"as":[109,118],"inequality":[112],"optimization":[113],"problems,":[114],"sharper":[116],"results":[117],"increases.":[120],"Numerical":[121],"examples":[122],"illustrate":[123],"proposed":[126],"conditions":[127],"more":[130],"accurate":[131],"than":[132],"other":[133],"techniques":[134],"from":[135],"literature":[137],"lower":[139],"complexity.":[140]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}