{"id":"https://openalex.org/W2121144276","doi":"https://doi.org/10.1109/ecc.2015.7330831","title":"New extended LMI characterization for state feedback control of continuous-time uncertain linear systems","display_name":"New extended LMI characterization for state feedback control of continuous-time uncertain linear systems","publication_year":2015,"publication_date":"2015-07-01","ids":{"openalex":"https://openalex.org/W2121144276","doi":"https://doi.org/10.1109/ecc.2015.7330831","mag":"2121144276"},"language":"en","primary_location":{"id":"doi:10.1109/ecc.2015.7330831","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ecc.2015.7330831","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 European Control Conference (ECC)","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/A5047020774","display_name":"Luis A. Rodrigues","orcid":"https://orcid.org/0000-0003-1487-529X"},"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":"Luis A. Rodrigues","raw_affiliation_strings":["School of Mechanical Engineering, University of Campinas - UNICAMP, Campinas, SP, Brazil","School of Mechanical Engineering, University of Campinas - UNICAMP, 13083-970, SP, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering, University of Campinas - UNICAMP, Campinas, SP, Brazil","institution_ids":["https://openalex.org/I181391015"]},{"raw_affiliation_string":"School of Mechanical Engineering, University of Campinas - UNICAMP, 13083-970, SP, Brazil","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":["Universidade Estadual de Campinas, Campinas, SP, BR","School of Electrical and Computer Engineering, University of Campinas (UNICAMP), 13083-852, SP, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universidade Estadual de Campinas, Campinas, SP, BR","institution_ids":["https://openalex.org/I181391015"]},{"raw_affiliation_string":"School of Electrical and Computer Engineering, University of Campinas (UNICAMP), 13083-852, SP, Brazil","institution_ids":["https://openalex.org/I181391015"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073743451","display_name":"Juan F. Camino","orcid":"https://orcid.org/0000-0002-9188-7166"},"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":"Juan F. Camino","raw_affiliation_strings":["School of Mechanical Engineering, University of Campinas - UNICAMP, Campinas, SP, Brazil","School of Mechanical Engineering, University of Campinas - UNICAMP, 13083-970, SP, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering, University of Campinas - UNICAMP, Campinas, SP, Brazil","institution_ids":["https://openalex.org/I181391015"]},{"raw_affiliation_string":"School of Mechanical Engineering, University of Campinas - UNICAMP, 13083-970, 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":1.3633,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.83524406,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"1992","last_page":"1997"},"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9994999766349792,"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/T11236","display_name":"Control Systems and Identification","score":0.9987999796867371,"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/control-theory","display_name":"Control theory (sociology)","score":0.7211155295372009},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.7016885280609131},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.6288101673126221},{"id":"https://openalex.org/keywords/novelty","display_name":"Novelty","score":0.5975757837295532},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5087986588478088},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4938295781612396},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.4586072564125061},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.4561653733253479},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.45034027099609375},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.42594683170318604},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.41677695512771606},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3786904215812683},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.326882004737854},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.30077606439590454},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10156306624412537},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.08601060509681702},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08179786801338196}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7211155295372009},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.7016885280609131},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.6288101673126221},{"id":"https://openalex.org/C2778738651","wikidata":"https://www.wikidata.org/wiki/Q16546687","display_name":"Novelty","level":2,"score":0.5975757837295532},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5087986588478088},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4938295781612396},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.4586072564125061},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4561653733253479},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.45034027099609375},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.42594683170318604},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.41677695512771606},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3786904215812683},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.326882004737854},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.30077606439590454},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10156306624412537},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.08601060509681702},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08179786801338196},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C27206212","wikidata":"https://www.wikidata.org/wiki/Q34178","display_name":"Theology","level":1,"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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ecc.2015.7330831","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ecc.2015.7330831","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 European Control Conference (ECC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.7699999809265137,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1185296500","https://openalex.org/W1927395284","https://openalex.org/W2016696565","https://openalex.org/W2018594715","https://openalex.org/W2022999868","https://openalex.org/W2035136053","https://openalex.org/W2039867272","https://openalex.org/W2042741865","https://openalex.org/W2054640262","https://openalex.org/W2068680862","https://openalex.org/W2073514351","https://openalex.org/W2077088183","https://openalex.org/W2080183610","https://openalex.org/W2099309131","https://openalex.org/W2100037022","https://openalex.org/W2110331379","https://openalex.org/W2115424783","https://openalex.org/W2122969272","https://openalex.org/W2125217642","https://openalex.org/W2128452602","https://openalex.org/W2128509816","https://openalex.org/W2135645150","https://openalex.org/W2154044079","https://openalex.org/W2417903161","https://openalex.org/W2463908258","https://openalex.org/W3210839039"],"related_works":["https://openalex.org/W2381242807","https://openalex.org/W3126131230","https://openalex.org/W2347541121","https://openalex.org/W4288804799","https://openalex.org/W2080951048","https://openalex.org/W3089617106","https://openalex.org/W3032237421","https://openalex.org/W2390346111","https://openalex.org/W3011883280","https://openalex.org/W2132771233"],"abstract_inverted_index":{"This":[0],"paper":[1],"provides":[2],"synthesis":[3,38],"conditions":[4],"of":[5,26],"robust":[6],"state":[7],"feedback":[8],"control":[9],"law":[10],"for":[11],"continuous-time":[12],"linear":[13],"time-invariant":[14],"systems":[15],"with":[16,40],"polytopic":[17],"uncertainty.":[18],"By":[19],"conveniently":[20],"expressing":[21],"the":[22,27,32,48,54,62,66,72,81],"Lyapunov":[23],"stability":[24],"condition":[25,39,69],"closed-loop":[28],"system":[29],"and":[30],"using":[31],"elimination":[33],"lemma,":[34],"a":[35,75],"new":[36],"LMI":[37],"scalar":[41,49],"searches":[42],"is":[43,51,59],"proposed.":[44],"As":[45],"main":[46],"novelty,":[47],"search":[50],"constrained":[52],"to":[53],"interval":[55],"(\u22121,1).":[56],"Additionally,":[57],"it":[58],"shown":[60],"that":[61],"proposed":[63,82],"relaxation":[64],"contains":[65],"less":[67],"conservative":[68],"available":[70],"in":[71],"literature":[73],"as":[74],"particular":[76],"case.":[77],"Numerical":[78],"examples":[79],"illustrate":[80],"approach.":[83]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":4}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
