{"id":"https://openalex.org/W3168121475","doi":"https://doi.org/10.1109/lcsys.2021.3086427","title":"An LMI Approach for Stability Analysis and Output-Feedback Stabilization of Discrete-Time Lur\u2019e Systems Using Zames-Falb Multipliers","display_name":"An LMI Approach for Stability Analysis and Output-Feedback Stabilization of Discrete-Time Lur\u2019e Systems Using Zames-Falb Multipliers","publication_year":2021,"publication_date":"2021-06-04","ids":{"openalex":"https://openalex.org/W3168121475","doi":"https://doi.org/10.1109/lcsys.2021.3086427","mag":"3168121475"},"language":"en","primary_location":{"id":"doi:10.1109/lcsys.2021.3086427","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2021.3086427","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"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 Control Systems Letters","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-03485392","any_repository_has_fulltext":true},"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":["School of Electrical and Computer Engineering, University of Campinas\u2014UNICAMP, Campinas-SP, Brazil","Universidade Estadual de Campinas =  University of Campinas"],"raw_orcid":"https://orcid.org/0000-0002-7465-1151","affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, University of Campinas\u2014UNICAMP, Campinas-SP, Brazil","institution_ids":["https://openalex.org/I181391015"]},{"raw_affiliation_string":"Universidade Estadual de Campinas =  University of Campinas","institution_ids":["https://openalex.org/I181391015"]}]},{"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\u2014UNICAMP, Campinas-SP, Brazil","Universidade Estadual de Campinas =  University of Campinas"],"raw_orcid":"https://orcid.org/0000-0002-8225-7058","affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, University of Campinas\u2014UNICAMP, Campinas-SP, Brazil","institution_ids":["https://openalex.org/I181391015"]},{"raw_affiliation_string":"Universidade Estadual de Campinas =  University of Campinas","institution_ids":["https://openalex.org/I181391015"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066966226","display_name":"Gi\u00f3rgio Valm\u00f3rbida","orcid":"https://orcid.org/0000-0002-1710-8590"},"institutions":[{"id":"https://openalex.org/I102197404","display_name":"Universit\u00e9 Paris-Sud","ror":"https://ror.org/028rypz17","country_code":"FR","type":"education","lineage":["https://openalex.org/I102197404"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I4210097418","display_name":"Laboratoire des signaux et syst\u00e8mes","ror":"https://ror.org/00skw9v43","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210097418","https://openalex.org/I4210107720"]},{"id":"https://openalex.org/I4210107720","display_name":"CentraleSup\u00e9lec","ror":"https://ror.org/019tcpt25","country_code":"FR","type":"facility","lineage":["https://openalex.org/I277688954","https://openalex.org/I4210107720"]},{"id":"https://openalex.org/I4210140143","display_name":"Dynamic Systems (United States)","ror":"https://ror.org/043vm9914","country_code":"US","type":"company","lineage":["https://openalex.org/I4210140143"]}],"countries":["FR","US"],"is_corresponding":false,"raw_author_name":"Giorgio Valmorbida","raw_affiliation_strings":["Laboratoire des Signaux et Syst\u00e8mes, CentraleSup\u00e9lec, CNRS, University of Paris-Sud, Universit\u00e9 Paris-Saclay, Gif-sur-Yvette, France","Project Team DISCO, Inria, Paris, France","Laboratoire des signaux et syst\u00e8mes","Dynamical Interconnected Systems in COmplex Environments"],"raw_orcid":"https://orcid.org/0000-0002-1710-8590","affiliations":[{"raw_affiliation_string":"Laboratoire des Signaux et Syst\u00e8mes, CentraleSup\u00e9lec, CNRS, University of Paris-Sud, Universit\u00e9 Paris-Saclay, Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I4210107720","https://openalex.org/I277688954","https://openalex.org/I102197404","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Project Team DISCO, Inria, Paris, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"Laboratoire des signaux et syst\u00e8mes","institution_ids":["https://openalex.org/I4210097418"]},{"raw_affiliation_string":"Dynamical Interconnected Systems in COmplex Environments","institution_ids":["https://openalex.org/I4210140143"]}]},{"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\u2014UNICAMP, Campinas-SP, Brazil","Universidade Estadual de Campinas =  University of Campinas"],"raw_orcid":"https://orcid.org/0000-0002-6371-7338","affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, University of Campinas\u2014UNICAMP, Campinas-SP, Brazil","institution_ids":["https://openalex.org/I181391015"]},{"raw_affiliation_string":"Universidade Estadual de Campinas =  University of Campinas","institution_ids":["https://openalex.org/I181391015"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.8052,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.84785994,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"6","issue":null,"first_page":"710","last_page":"715"},"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":0.9983000159263611,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5736634731292725},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5109099745750427},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5075465440750122},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4766610264778137},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.4703053832054138},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4211242198944092},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3895862102508545},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3548257350921631},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.13184833526611328},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12647980451583862},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11786946654319763},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.06970930099487305},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.06124770641326904}],"concepts":[{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5736634731292725},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5109099745750427},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5075465440750122},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4766610264778137},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.4703053832054138},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4211242198944092},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3895862102508545},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3548257350921631},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.13184833526611328},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12647980451583862},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11786946654319763},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.06970930099487305},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.06124770641326904},{"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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/lcsys.2021.3086427","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2021.3086427","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"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 Control Systems Letters","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-03485392v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03485392","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Control Systems Letters, 2021, 6, pp.710-715. &#x27E8;10.1109/LCSYS.2021.3086427&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-03485392v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03485392","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Control Systems Letters, 2021, 6, pp.710-715. &#x27E8;10.1109/LCSYS.2021.3086427&#x27E9;","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5015757807","display_name":null,"funder_award_id":"2019/10947-1","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"}],"funders":[{"id":"https://openalex.org/F4320320997","display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo","ror":"https://ror.org/02ddkpn78"},{"id":"https://openalex.org/F4320321091","display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","ror":"https://ror.org/00x0ma614"},{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1596877211","https://openalex.org/W1927395284","https://openalex.org/W1985695862","https://openalex.org/W1999461418","https://openalex.org/W2012016948","https://openalex.org/W2017940397","https://openalex.org/W2063493327","https://openalex.org/W2074840391","https://openalex.org/W2121768877","https://openalex.org/W2140999277","https://openalex.org/W2147908704","https://openalex.org/W2187099408","https://openalex.org/W2268709424","https://openalex.org/W2536620281","https://openalex.org/W2547940578","https://openalex.org/W2683261333","https://openalex.org/W2809060028","https://openalex.org/W2903148209","https://openalex.org/W3106275197","https://openalex.org/W3118688261","https://openalex.org/W3123508376"],"related_works":["https://openalex.org/W3013085049","https://openalex.org/W1560496689","https://openalex.org/W1992739770","https://openalex.org/W4386900933","https://openalex.org/W4229058035","https://openalex.org/W3125672081","https://openalex.org/W4385301946","https://openalex.org/W2006389905","https://openalex.org/W4297797135","https://openalex.org/W2904666330"],"abstract_inverted_index":{"This":[0],"letter":[1],"investigates":[2],"the":[3,16,24,31,35,59,76,89,100,103],"problem":[4],"of":[5,11,61,65,102],"stability":[6,57],"analysis":[7],"and":[8,20,43,84],"output-feedback":[9,95],"stabilization":[10],"discrete-time":[12],"Lur'e":[13],"systems":[14],"where":[15],"nonlinearity":[17],"is":[18,53],"odd":[19],"slope":[21],"bounded.":[22],"Using":[23],"linear":[25],"matrix":[26],"inequality":[27],"(LMI)":[28],"conditions":[29],"from":[30],"literature":[32],"to":[33,55],"handle":[34],"<i":[36,77],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[37,40,78,81],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">l</i>":[38,79],"<sub":[39,80],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sub>":[41,82],"norm":[42,83],"positive":[44,72,85],"realness":[45],"constraints,":[46],"an":[47],"iterative":[48],"algorithm":[49],"based":[50,69],"on":[51,70],"LMIs":[52],"constructed":[54],"assess":[56],"through":[58],"existence":[60],"a":[62],"Zames-Falb":[63],"multiplier":[64],"any":[66],"given":[67],"order":[68],"independent":[71],"definite":[73],"matrices":[74],"for":[75],"realness.":[86],"More":[87],"important,":[88],"method":[90],"can":[91],"also":[92],"deal":[93],"with":[94,108],"stabilization.":[96],"Numerical":[97],"examples":[98],"illustrate":[99],"performance":[101],"proposed":[104],"approach":[105],"when":[106],"compared":[107],"other":[109],"methods.":[110]},"counts_by_year":[{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
