{"id":"https://openalex.org/W1525665454","doi":"https://doi.org/10.1109/acc.2015.7172276","title":"Robust stabilization and &amp;#x210B;&lt;inf&gt;&amp;#x221E;&lt;/inf&gt; control by means of state-feedback for polytopic linear systems using LMIs and scalar searches","display_name":"Robust stabilization and &amp;#x210B;&lt;inf&gt;&amp;#x221E;&lt;/inf&gt; control by means of state-feedback for polytopic linear systems using LMIs and scalar searches","publication_year":2015,"publication_date":"2015-07-01","ids":{"openalex":"https://openalex.org/W1525665454","doi":"https://doi.org/10.1109/acc.2015.7172276","mag":"1525665454"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2015.7172276","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2015.7172276","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 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/A5055211849","display_name":"Henrique S. Vieira","orcid":"https://orcid.org/0000-0002-5111-5671"},"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":"Henrique S. Vieira","raw_affiliation_strings":["School of Electrical and Computer Engineering, University of Campinas \u2014 UNICAMP, Campinas, SP, Brazil","School of Electrical and Computer Engineering, University of Campinas (UNICAMP), 13083-852, SP, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, University of Campinas \u2014 UNICAMP, Campinas, SP, Brazil","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":"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 \u2014 UNICAMP, Campinas, SP, Brazil","School of Electrical and Computer Engineering, University of Campinas (UNICAMP), 13083-852, SP, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, University of Campinas \u2014 UNICAMP, Campinas, SP, Brazil","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/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 \u2014 UNICAMP, Campinas, SP, Brazil","School of Electrical and Computer Engineering, University of Campinas (UNICAMP), 13083-852, SP, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, University of Campinas \u2014 UNICAMP, Campinas, SP, Brazil","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"]}]}],"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":7,"citation_normalized_percentile":{"value":0.82408994,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"30","issue":null,"first_page":"5966","last_page":"5973"},"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9968000054359436,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9908000230789185,"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/scalar","display_name":"Scalar (mathematics)","score":0.7476899027824402},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.67353755235672},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6263571977615356},{"id":"https://openalex.org/keywords/novelty","display_name":"Novelty","score":0.6177589893341064},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5258320569992065},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47768837213516235},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.44964325428009033},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.43271851539611816},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.42913079261779785},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.42329785227775574},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3703545928001404},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3462878167629242},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.30461227893829346},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.14001795649528503},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.11680376529693604},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08865174651145935},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.052898257970809937}],"concepts":[{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.7476899027824402},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.67353755235672},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6263571977615356},{"id":"https://openalex.org/C2778738651","wikidata":"https://www.wikidata.org/wiki/Q16546687","display_name":"Novelty","level":2,"score":0.6177589893341064},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5258320569992065},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47768837213516235},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.44964325428009033},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.43271851539611816},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.42913079261779785},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.42329785227775574},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3703545928001404},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3462878167629242},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.30461227893829346},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.14001795649528503},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.11680376529693604},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08865174651145935},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.052898257970809937},{"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/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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2015.7172276","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2015.7172276","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 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":37,"referenced_works":["https://openalex.org/W1978000237","https://openalex.org/W1988842942","https://openalex.org/W1998357391","https://openalex.org/W2013115301","https://openalex.org/W2018594715","https://openalex.org/W2022999868","https://openalex.org/W2035136053","https://openalex.org/W2042741865","https://openalex.org/W2060326330","https://openalex.org/W2065548314","https://openalex.org/W2073514351","https://openalex.org/W2077088183","https://openalex.org/W2080183610","https://openalex.org/W2085241579","https://openalex.org/W2091348879","https://openalex.org/W2099303527","https://openalex.org/W2099309131","https://openalex.org/W2100037022","https://openalex.org/W2100317422","https://openalex.org/W2101306342","https://openalex.org/W2118684117","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/W2161507975","https://openalex.org/W2167094764","https://openalex.org/W2237699794","https://openalex.org/W2417903161","https://openalex.org/W2463908258","https://openalex.org/W2634584259","https://openalex.org/W3210839039","https://openalex.org/W4233468017","https://openalex.org/W6689506780","https://openalex.org/W6739670532"],"related_works":["https://openalex.org/W2381242807","https://openalex.org/W2751208925","https://openalex.org/W2347541121","https://openalex.org/W4288804799","https://openalex.org/W3032237421","https://openalex.org/W2080951048","https://openalex.org/W3011883280","https://openalex.org/W2390346111","https://openalex.org/W1990991164","https://openalex.org/W2155614410"],"abstract_inverted_index":{"The":[0,49],"problems":[1],"of":[2,14,38,64,92,99],"robust":[3,6],"stabilization":[4],"and":[5,36,46],"\u210b":[7],"<sub":[8],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[9],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\u221e</sub>":[10],"control":[11],"by":[12,62],"means":[13,63],"state":[15],"feedback":[16],"for":[17,43,89],"uncertain":[18],"linear":[19],"systems":[20],"in":[21,26,86],"polytopic":[22],"domains":[23],"are":[24,41],"investigated":[25],"this":[27,90],"paper.":[28],"New":[29],"synthesis":[30],"conditions":[31,76,84],"based":[32],"on":[33],"LMI":[34],"relaxations":[35],"search":[37],"scalar":[39],"variables":[40],"proposed":[42,75,101],"both":[44],"continuous":[45],"discrete-time":[47],"systems.":[48,93],"main":[50],"novelty":[51],"comes":[52],"from":[53],"the":[54,57,74,81,87,97,100],"fact":[55],"that":[56,73],"closed-loop":[58],"stability":[59],"is":[60,70],"certified":[61],"polynomially":[65],"parameter-dependent":[66],"Lyapunov":[67],"matrices.":[68],"It":[69],"also":[71],"shown":[72],"contain":[77],"as":[78],"particular":[79],"cases":[80],"less":[82],"conservative":[83],"available":[85],"literature":[88],"class":[91],"Numerical":[94],"experiments":[95],"illustrate":[96],"efficiency":[98],"relaxations.":[102]},"counts_by_year":[{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}