{"id":"https://openalex.org/W2086969508","doi":"https://doi.org/10.1109/tac.2014.2322436","title":"Haar-Based Stability Analysis of LPV Systems","display_name":"Haar-Based Stability Analysis of LPV Systems","publication_year":2014,"publication_date":"2014-05-07","ids":{"openalex":"https://openalex.org/W2086969508","doi":"https://doi.org/10.1109/tac.2014.2322436","mag":"2086969508"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2014.2322436","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2014.2322436","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/A5031078064","display_name":"Leonardo Oliveira de Ara\u00fajo","orcid":null},"institutions":[{"id":"https://openalex.org/I41870","display_name":"Military Institute of Engineering","ror":"https://ror.org/03veakt65","country_code":"BR","type":"education","lineage":["https://openalex.org/I41870"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Leonardo O. de Araujo","raw_affiliation_strings":["Electrical and Defense Engineering Graduate Programs, Military Institute of Engineering, Rio de Janeiro, RJ, Brazil","Electr. & Defense Eng. Grad. Programs, Mil. Inst. of Eng., Rio de Janeiro, Brazil"],"affiliations":[{"raw_affiliation_string":"Electrical and Defense Engineering Graduate Programs, Military Institute of Engineering, Rio de Janeiro, RJ, Brazil","institution_ids":["https://openalex.org/I41870"]},{"raw_affiliation_string":"Electr. & Defense Eng. Grad. Programs, Mil. Inst. of Eng., Rio de Janeiro, Brazil","institution_ids":["https://openalex.org/I41870"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069351462","display_name":"Paulo C\u00e9sar Pellanda","orcid":"https://orcid.org/0000-0002-4505-2838"},"institutions":[{"id":"https://openalex.org/I41870","display_name":"Military Institute of Engineering","ror":"https://ror.org/03veakt65","country_code":"BR","type":"education","lineage":["https://openalex.org/I41870"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Paulo C. Pellanda","raw_affiliation_strings":["Electrical and Defense Engineering Graduate Programs, Military Institute of Engineering, Rio de Janeiro, RJ, Brazil","Electr. & Defense Eng. Grad. Programs, Mil. Inst. of Eng., Rio de Janeiro, Brazil"],"affiliations":[{"raw_affiliation_string":"Electrical and Defense Engineering Graduate Programs, Military Institute of Engineering, Rio de Janeiro, RJ, Brazil","institution_ids":["https://openalex.org/I41870"]},{"raw_affiliation_string":"Electr. & Defense Eng. Grad. Programs, Mil. Inst. of Eng., Rio de Janeiro, Brazil","institution_ids":["https://openalex.org/I41870"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038456861","display_name":"Juraci Ferreira Galdino","orcid":"https://orcid.org/0000-0001-7805-0452"},"institutions":[{"id":"https://openalex.org/I41870","display_name":"Military Institute of Engineering","ror":"https://ror.org/03veakt65","country_code":"BR","type":"education","lineage":["https://openalex.org/I41870"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Juraci F. Galdino","raw_affiliation_strings":["Electrical and Defense Engineering Graduate Programs, Military Institute of Engineering, Rio de Janeiro, RJ, Brazil","Electr. & Defense Eng. Grad. Programs, Mil. Inst. of Eng., Rio de Janeiro, Brazil"],"affiliations":[{"raw_affiliation_string":"Electrical and Defense Engineering Graduate Programs, Military Institute of Engineering, Rio de Janeiro, RJ, Brazil","institution_ids":["https://openalex.org/I41870"]},{"raw_affiliation_string":"Electr. & Defense Eng. Grad. Programs, Mil. Inst. of Eng., Rio de Janeiro, Brazil","institution_ids":["https://openalex.org/I41870"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011524380","display_name":"Alberto M. Sim\u00f5es","orcid":"https://orcid.org/0000-0003-4418-3710"},"institutions":[{"id":"https://openalex.org/I41870","display_name":"Military Institute of Engineering","ror":"https://ror.org/03veakt65","country_code":"BR","type":"education","lineage":["https://openalex.org/I41870"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Alberto M. Simoes","raw_affiliation_strings":["Electrical and Defense Engineering Graduate Programs, Military Institute of Engineering, Rio de Janeiro, RJ, Brazil","Electr. & Defense Eng. Grad. Programs, Mil. Inst. of Eng., Rio de Janeiro, Brazil"],"affiliations":[{"raw_affiliation_string":"Electrical and Defense Engineering Graduate Programs, Military Institute of Engineering, Rio de Janeiro, RJ, Brazil","institution_ids":["https://openalex.org/I41870"]},{"raw_affiliation_string":"Electr. & Defense Eng. Grad. Programs, Mil. Inst. of Eng., Rio de Janeiro, Brazil","institution_ids":["https://openalex.org/I41870"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5031078064"],"corresponding_institution_ids":["https://openalex.org/I41870"],"apc_list":null,"apc_paid":null,"fwci":0.4057,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.70380756,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"60","issue":"1","first_page":"192","last_page":"198"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9975000023841858,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9975000023841858,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9940999746322632,"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/parametric-statistics","display_name":"Parametric statistics","score":0.509739100933075},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.49778318405151367},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4852883517742157},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.47710922360420227},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.43117856979370117},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.42741864919662476},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37018072605133057},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.3000990152359009}],"concepts":[{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.509739100933075},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.49778318405151367},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4852883517742157},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47710922360420227},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.43117856979370117},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.42741864919662476},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37018072605133057},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3000990152359009},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2014.2322436","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2014.2322436","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":[{"id":"https://openalex.org/G3005346906","display_name":null,"funder_award_id":"E-26/102.269/2009","funder_id":"https://openalex.org/F4320322749","funder_display_name":"Funda\u00e7\u00e3o Carlos Chagas Filho de Amparo \u00e0 Pesquisa do Estado do Rio de Janeiro"}],"funders":[{"id":"https://openalex.org/F4320322749","display_name":"Funda\u00e7\u00e3o Carlos Chagas Filho de Amparo \u00e0 Pesquisa do Estado do Rio de Janeiro","ror":"https://ror.org/03kk0s825"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1986980338","https://openalex.org/W1990746578","https://openalex.org/W2012527250","https://openalex.org/W2021510361","https://openalex.org/W2036031971","https://openalex.org/W2043744339","https://openalex.org/W2044464896","https://openalex.org/W2065548314","https://openalex.org/W2082483338","https://openalex.org/W2099309131","https://openalex.org/W2110331379","https://openalex.org/W2116880539","https://openalex.org/W2120207446","https://openalex.org/W2160391281","https://openalex.org/W2174022105","https://openalex.org/W4240423817","https://openalex.org/W4295332281","https://openalex.org/W4302067267","https://openalex.org/W6661338524"],"related_works":["https://openalex.org/W2396122647","https://openalex.org/W2136161268","https://openalex.org/W3165943254","https://openalex.org/W3143668791","https://openalex.org/W2289718384","https://openalex.org/W2538333368","https://openalex.org/W1995675544","https://openalex.org/W2068427817","https://openalex.org/W2360444312","https://openalex.org/W3153752017"],"abstract_inverted_index":{"A":[0],"new":[1],"gridding-based":[2],"algorithm":[3,15],"for":[4,63],"stability":[5,102],"analysis":[6],"of":[7,20,30,40,48,106,125],"Linear":[8],"Parameter-Varying":[9],"(LPV)":[10],"systems":[11],"is":[12],"presented.":[13],"The":[14,90],"inherits":[16],"the":[17,41,46,58,110,114,123,126],"main":[18],"features":[19],"classical":[21],"gridding":[22,75],"techniques:":[23],"it":[24],"can":[25],"handle":[26],"a":[27,70,82,86],"vast":[28],"class":[29],"parametric":[31,37,60],"dependencies":[32],"as":[33,35,109],"well":[34],"non-convex":[36],"domains.":[38],"Novelty":[39],"proposed":[42,127],"approach":[43],"lies":[44],"in":[45],"use":[47],"Haar":[49,115],"wavelet":[50],"transform":[51],"theory":[52],"to":[53,79,100],"guarantee":[54],"constraint":[55],"satisfaction":[56],"over":[57,73],"entire":[59],"domain,":[61],"even":[62],"an":[64],"arbitrarily":[65],"sparse":[66],"grid.":[67],"It":[68],"represents":[69],"major":[71],"improvement":[72],"traditional":[74],"approaches,":[76],"which":[77],"fail":[78],"provide":[80],"such":[81],"certificate":[83],"without":[84],"requiring":[85],"posteriori":[87],"verification":[88],"tests.":[89],"resulting":[91],"algorithms":[92],"rely":[93],"on":[94],"semidefinite":[95],"programing":[96],"and":[97,113],"are":[98],"related":[99],"sufficient":[101],"conditions":[103],"whose":[104],"degree":[105],"conservatism":[107],"decreases":[108],"grid":[111],"density":[112],"truncation":[116],"level":[117],"increase.":[118],"Two":[119],"numerical":[120],"examples":[121],"corroborate":[122],"validity":[124],"algorithms.":[128]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}