{"id":"https://openalex.org/W1993851747","doi":"https://doi.org/10.1016/j.mcm.2010.04.001","title":"Estimation of domains of attraction: A global optimization approach","display_name":"Estimation of domains of attraction: A global optimization approach","publication_year":2010,"publication_date":"2010-04-14","ids":{"openalex":"https://openalex.org/W1993851747","doi":"https://doi.org/10.1016/j.mcm.2010.04.001","mag":"1993851747"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.mcm.2010.04.001","pdf_url":null,"source":{"id":"https://openalex.org/S182710874","display_name":"Mathematical and Computer Modelling","issn_l":"0895-7177","issn":["0895-7177","1872-9479"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320146","host_organization_name":"Pergamon Press","host_organization_lineage":["https://openalex.org/P4310320146"],"host_organization_lineage_names":["Pergamon Press"],"type":"journal"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"publishedVersion","is_accepted":true,"is_published":true},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://doi.org/10.1016/j.mcm.2010.04.001","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5078900342","display_name":"Luis G. Matallana","orcid":"https://orcid.org/0000-0001-8713-0411"},"institutions":[{"id":"https://openalex.org/I151201029","display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas","ror":"https://ror.org/03cqe8w59","country_code":"AR","type":"government","lineage":["https://openalex.org/I151201029","https://openalex.org/I4210123736","https://openalex.org/I4387155568"]}],"countries":["AR"],"is_corresponding":false,"raw_author_name":"Luis G. Matallana","raw_affiliation_strings":["PLAPIQUI (UNS - CONICET), Camino La Carrindanga, Km 7 (8000), Bah\u00eda Blanca, Argentina."],"affiliations":[{"raw_affiliation_string":"PLAPIQUI (UNS - CONICET), Camino La Carrindanga, Km 7 (8000), Bah\u00eda Blanca, Argentina.","institution_ids":["https://openalex.org/I151201029"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101532859","display_name":"An\u0131\u0301bal M. Blanco","orcid":"https://orcid.org/0000-0003-2190-8619"},"institutions":[{"id":"https://openalex.org/I151201029","display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas","ror":"https://ror.org/03cqe8w59","country_code":"AR","type":"government","lineage":["https://openalex.org/I151201029","https://openalex.org/I4210123736","https://openalex.org/I4387155568"]}],"countries":["AR"],"is_corresponding":false,"raw_author_name":"An\u00edbal M. Blanco","raw_affiliation_strings":["PLAPIQUI (UNS - CONICET), Camino La Carrindanga, Km 7 (8000), Bah\u00eda Blanca, Argentina."],"affiliations":[{"raw_affiliation_string":"PLAPIQUI (UNS - CONICET), Camino La Carrindanga, Km 7 (8000), Bah\u00eda Blanca, Argentina.","institution_ids":["https://openalex.org/I151201029"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069103473","display_name":"J. Alberto Bandoni","orcid":"https://orcid.org/0000-0002-9475-3825"},"institutions":[{"id":"https://openalex.org/I151201029","display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas","ror":"https://ror.org/03cqe8w59","country_code":"AR","type":"government","lineage":["https://openalex.org/I151201029","https://openalex.org/I4210123736","https://openalex.org/I4387155568"]}],"countries":["AR"],"is_corresponding":false,"raw_author_name":"J. Alberto Bandoni","raw_affiliation_strings":["PLAPIQUI (UNS - CONICET), Camino La Carrindanga, Km 7 (8000), Bah\u00eda Blanca, Argentina."],"affiliations":[{"raw_affiliation_string":"PLAPIQUI (UNS - CONICET), Camino La Carrindanga, Km 7 (8000), Bah\u00eda Blanca, Argentina.","institution_ids":["https://openalex.org/I151201029"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.959,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":39,"citation_normalized_percentile":{"value":0.984499,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":94},"biblio":{"volume":"52","issue":"3-4","first_page":"574","last_page":"585"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Model Predictive Control in Industrial Processes","score":0.9974,"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":"Model Predictive Control in Industrial Processes","score":0.9974,"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/T10963","display_name":"Numerical Optimization Techniques","score":0.9923,"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/T10545","display_name":"Iterative Algorithms for Nonlinear Operators and Optimization","score":0.98,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/global-optimization","display_name":"Global Optimization","score":0.544793},{"id":"https://openalex.org/keywords/derivative-free-optimization","display_name":"Derivative-Free Optimization","score":0.526309},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex Optimization","score":0.525269},{"id":"https://openalex.org/keywords/stability-analysis","display_name":"Stability Analysis","score":0.5252},{"id":"https://openalex.org/keywords/optimization","display_name":"Optimization","score":0.519738}],"concepts":[{"id":"https://openalex.org/C2778364177","wikidata":"https://www.wikidata.org/wiki/Q2247133","display_name":"Attraction","level":2,"score":0.5844509},{"id":"https://openalex.org/C96250715","wikidata":"https://www.wikidata.org/wiki/Q965330","display_name":"Estimation","level":2,"score":0.54184806},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4613436},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45113146},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4059806},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33136165},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.13884246},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.mcm.2010.04.001","pdf_url":null,"source":{"id":"https://openalex.org/S182710874","display_name":"Mathematical and Computer Modelling","issn_l":"0895-7177","issn":["0895-7177","1872-9479"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320146","host_organization_name":"Pergamon Press","host_organization_lineage":["https://openalex.org/P4310320146"],"host_organization_lineage_names":["Pergamon Press"],"type":"journal"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"publishedVersion","is_accepted":true,"is_published":true},{"is_oa":true,"landing_page_url":"https://hdl.handle.net/11336/55939","pdf_url":"https://ri.conicet.gov.ar/bitstream/11336/55939/2/CONICET_Digital_Nro.5d7bac87-b25e-4995-b112-9b26c7359d37_A.pdf","source":{"id":"https://openalex.org/S4306402455","display_name":"CONICET Digital (CONICET)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210148385","host_organization_name":"Biomedicine Research Institute of Buenos Aires - CONICET - Partner Institute of the Max Planck Society","host_organization_lineage":["https://openalex.org/I4210148385"],"host_organization_lineage_names":["Biomedicine Research Institute of Buenos Aires - CONICET - Partner Institute of the Max Planck Society"],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.mcm.2010.04.001","pdf_url":null,"source":{"id":"https://openalex.org/S182710874","display_name":"Mathematical and Computer Modelling","issn_l":"0895-7177","issn":["0895-7177","1872-9479"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320146","host_organization_name":"Pergamon Press","host_organization_lineage":["https://openalex.org/P4310320146"],"host_organization_lineage_names":["Pergamon Press"],"type":"journal"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","display_name":"Quality education","score":0.65}],"grants":[],"datasets":[],"versions":[],"referenced_works_count":14,"referenced_works":["https://openalex.org/W114465074","https://openalex.org/W1494247092","https://openalex.org/W1527177198","https://openalex.org/W1534906410","https://openalex.org/W1546292935","https://openalex.org/W1987266152","https://openalex.org/W2021313930","https://openalex.org/W2044818583","https://openalex.org/W2069336148","https://openalex.org/W2075106186","https://openalex.org/W2078899217","https://openalex.org/W2081047588","https://openalex.org/W2100866186","https://openalex.org/W2130382978"],"related_works":["https://openalex.org/W4386786398","https://openalex.org/W4319783074","https://openalex.org/W4319778501","https://openalex.org/W4313411469","https://openalex.org/W2413671300","https://openalex.org/W2151212570","https://openalex.org/W2138293586","https://openalex.org/W2080052720","https://openalex.org/W2021797003","https://openalex.org/W1503179180"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"a":[3,32,55,80,101],"methodology":[4,114],"for":[5,98],"the":[6,27,40,59,65,68,73,88,107,125],"estimation":[7],"of":[8,10,12,31,42,45,67,72,83,87,106,124],"domains":[9],"attraction":[11],"stable":[13],"equilibriums":[14],"based":[15],"on":[16,64],"maximal":[17],"Lyapunov":[18,33,74],"functions":[19],"is":[20,36,51,95,112,115],"proposed.The":[21],"basic":[22],"idea":[23],"consists":[24],"in":[25,39,78],"finding":[26],"best":[28],"level":[29,60],"set":[30],"function":[34],"which":[35,53],"fully":[37],"contained":[38],"region":[41],"negative":[43],"definiteness":[44],"its":[46],"time":[47],"derivative.An":[48],"optimization":[49,90,104],"problem":[50],"formulated,":[52],"includes":[54],"tangency":[56],"requirement":[57],"between":[58],"sets":[61],"and":[62,70,109],"constraints":[63,76],"sign":[66],"numerator":[69],"denominator":[71],"function.Such":[75],"help":[77],"avoiding":[79],"large":[81],"number":[82],"potential":[84],"dummy":[85],"solutions":[86],"nonlinear":[89],"model.Moreover,":[91],"since":[92],"global":[93,103],"optimality":[94],"also":[96],"required":[97],"proper":[99],"estimation,":[100],"deterministic":[102],"solver":[105],"branch":[108],"bound":[110],"type":[111],"adopted.The":[113],"applied":[116],"to":[117,120],"several":[118],"examples":[119],"illustrate":[121],"different":[122],"aspects":[123],"approach.":[126]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W1993851747","counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2024-11-27T09:45:57.408438","created_date":"2016-06-24"}
