{"id":"https://openalex.org/W2145258958","doi":"https://doi.org/10.1109/acc.2007.4282430","title":"Estimating the Region of Attraction of Nonlinear Control Systems with Saturating Actuators","display_name":"Estimating the Region of Attraction of Nonlinear Control Systems with Saturating Actuators","publication_year":2007,"publication_date":"2007-07-01","ids":{"openalex":"https://openalex.org/W2145258958","doi":"https://doi.org/10.1109/acc.2007.4282430","mag":"2145258958"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2007.4282430","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2007.4282430","pdf_url":null,"source":{"id":"https://openalex.org/S4210168941","display_name":"Proceedings of the ... American Control Conference/Proceedings of the American Control Conference","issn_l":"0743-1619","issn":["0743-1619","2378-5861"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 American Control Conference","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/A5012031694","display_name":"Daniel Coutinho","orcid":"https://orcid.org/0000-0002-4249-1288"},"institutions":[{"id":"https://openalex.org/I45643870","display_name":"Pontif\u00edcia Universidade Cat\u00f3lica do Rio Grande do Sul","ror":"https://ror.org/025vmq686","country_code":"BR","type":"education","lineage":["https://openalex.org/I45643870"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"D.F. Coutinho","raw_affiliation_strings":["Group of Automation and Control Systems GACS, PUCRS, Porto Alegre, Rio Grande do Sul, Brazil","PUCRS - Porto Alegre"],"affiliations":[{"raw_affiliation_string":"Group of Automation and Control Systems GACS, PUCRS, Porto Alegre, Rio Grande do Sul, Brazil","institution_ids":["https://openalex.org/I45643870"]},{"raw_affiliation_string":"PUCRS - Porto Alegre","institution_ids":["https://openalex.org/I45643870"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047525397","display_name":"J.M. Gomes da Silva","orcid":"https://orcid.org/0000-0002-6275-2895"},"institutions":[{"id":"https://openalex.org/I130442723","display_name":"Universidade Federal do Rio Grande do Sul","ror":"https://ror.org/041yk2d64","country_code":"BR","type":"education","lineage":["https://openalex.org/I130442723"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"J.M. Gomes da Silva","raw_affiliation_strings":["Department of Electrical Engineering, UFRGS, Porto Alegre, Rio Grande do Sul, Brazil","Department of Electrical Engineering, UFRGS, Av. Osvaldo Aranha 103, 90035-190 Porto Alegre-RS, Brazil. jmgomes@ece.ufrgs.br"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, UFRGS, Porto Alegre, Rio Grande do Sul, Brazil","institution_ids":["https://openalex.org/I130442723"]},{"raw_affiliation_string":"Department of Electrical Engineering, UFRGS, Av. Osvaldo Aranha 103, 90035-190 Porto Alegre-RS, Brazil. jmgomes@ece.ufrgs.br","institution_ids":["https://openalex.org/I130442723"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5012031694"],"corresponding_institution_ids":["https://openalex.org/I45643870"],"apc_list":null,"apc_paid":null,"fwci":3.8442,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.9375,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"4715","last_page":"4720"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9998000264167786,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9998000264167786,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9995999932289124,"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/T10046","display_name":"Stability and Control of Uncertain 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"}}],"keywords":[{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7580575346946716},{"id":"https://openalex.org/keywords/attraction","display_name":"Attraction","score":0.7329108119010925},{"id":"https://openalex.org/keywords/dead-zone","display_name":"Dead zone","score":0.7010552883148193},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6963107585906982},{"id":"https://openalex.org/keywords/actuator","display_name":"Actuator","score":0.6294654607772827},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5866900682449341},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.5613453984260559},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5406216382980347},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49511829018592834},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.4380955696105957},{"id":"https://openalex.org/keywords/saturation","display_name":"Saturation (graph theory)","score":0.41334348917007446},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37894803285598755},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3742119073867798},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3320419490337372},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32834580540657043},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17708274722099304},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.098247230052948},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07826775312423706}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7580575346946716},{"id":"https://openalex.org/C2778364177","wikidata":"https://www.wikidata.org/wiki/Q2247133","display_name":"Attraction","level":2,"score":0.7329108119010925},{"id":"https://openalex.org/C63840607","wikidata":"https://www.wikidata.org/wiki/Q1236263","display_name":"Dead zone","level":2,"score":0.7010552883148193},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6963107585906982},{"id":"https://openalex.org/C172707124","wikidata":"https://www.wikidata.org/wiki/Q423488","display_name":"Actuator","level":2,"score":0.6294654607772827},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5866900682449341},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.5613453984260559},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5406216382980347},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49511829018592834},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4380955696105957},{"id":"https://openalex.org/C9930424","wikidata":"https://www.wikidata.org/wiki/Q7426587","display_name":"Saturation (graph theory)","level":2,"score":0.41334348917007446},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37894803285598755},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3742119073867798},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3320419490337372},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32834580540657043},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17708274722099304},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.098247230052948},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07826775312423706},{"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"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/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C111368507","wikidata":"https://www.wikidata.org/wiki/Q43518","display_name":"Oceanography","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2007.4282430","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2007.4282430","pdf_url":null,"source":{"id":"https://openalex.org/S4210168941","display_name":"Proceedings of the ... American Control Conference/Proceedings of the American Control Conference","issn_l":"0743-1619","issn":["0743-1619","2378-5861"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 American Control Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W114637152","https://openalex.org/W150511970","https://openalex.org/W1517160882","https://openalex.org/W1518826266","https://openalex.org/W1531494965","https://openalex.org/W1927395284","https://openalex.org/W1987011453","https://openalex.org/W1988098375","https://openalex.org/W2029869096","https://openalex.org/W2066207056","https://openalex.org/W2073554010","https://openalex.org/W2073733903","https://openalex.org/W2101138302","https://openalex.org/W2104957613","https://openalex.org/W2108628449","https://openalex.org/W2113377036","https://openalex.org/W2117175541","https://openalex.org/W2117883062","https://openalex.org/W2127665768","https://openalex.org/W2130136455","https://openalex.org/W2132322031","https://openalex.org/W2145957603","https://openalex.org/W2148467843","https://openalex.org/W2152327179","https://openalex.org/W2152754654","https://openalex.org/W2155332690","https://openalex.org/W2164987491","https://openalex.org/W2173273441","https://openalex.org/W2180358230","https://openalex.org/W2561602447","https://openalex.org/W6604607757","https://openalex.org/W6606104596"],"related_works":["https://openalex.org/W4386786398","https://openalex.org/W2138293586","https://openalex.org/W2080052720","https://openalex.org/W4319783074","https://openalex.org/W1503179180","https://openalex.org/W2168383058","https://openalex.org/W2164703465","https://openalex.org/W2143247663","https://openalex.org/W1864017312","https://openalex.org/W2050693590"],"abstract_inverted_index":{"This":[0],"paper":[1],"focus":[2],"on":[3],"the":[4,8,47,61,73],"problem":[5,66],"of":[6,10,12,31,49,63,70],"estimating":[7],"region":[9],"attraction":[11],"nonlinear":[13],"control":[14],"systems":[15],"that":[16],"can":[17],"be":[18],"put":[19],"in":[20],"a":[21,50],"rational":[22,36],"algebraic-differential":[23],"form.":[24],"The":[25,39],"estimates":[26],"are":[27,42],"computed":[28],"by":[29,46],"means":[30],"invariant":[32],"domains":[33],"associated":[34],"to":[35,60],"Lyapunov":[37],"functions.":[38],"saturation":[40],"effects":[41],"taken":[43],"into":[44],"account":[45],"use":[48],"generalized":[51],"sector":[52],"condition":[53],"for":[54,67,72],"deadzone":[55],"nonlinearities.":[56],"These":[57],"ingredients":[58],"lead":[59],"formulation":[62],"an":[64],"LMI-optimization":[65],"computing":[68],"regions":[69],"stability":[71],"closed-loop":[74],"system.":[75]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
