{"id":"https://openalex.org/W2966565828","doi":"https://doi.org/10.1109/tac.2019.2931952","title":"Regional Stabilization of Input-Delayed Uncertain Nonlinear Polynomial Systems","display_name":"Regional Stabilization of Input-Delayed Uncertain Nonlinear Polynomial Systems","publication_year":2019,"publication_date":"2019-07-30","ids":{"openalex":"https://openalex.org/W2966565828","doi":"https://doi.org/10.1109/tac.2019.2931952","mag":"2966565828"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2019.2931952","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2019.2931952","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Transactions on Automatic Control","raw_type":"journal-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/I4104125","display_name":"Universidade Federal de Santa Catarina","ror":"https://ror.org/041akq887","country_code":"BR","type":"education","lineage":["https://openalex.org/I4104125"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Daniel Coutinho","raw_affiliation_strings":["Department of Automation and Systems, Universidade Federal de Santa Catarina, Florian\u00f3polis, Brazil","UFSC - Universidade Federal de Santa Catarina = Federal University of Santa Catarina [Florian\u00f3polis] (R. Eng. Agron\u00f4mico Andrei Cristian Ferreira, s/n - Trindade, Florian\u00f3polis - SC, 88040-900 - Brazil)"],"affiliations":[{"raw_affiliation_string":"Department of Automation and Systems, Universidade Federal de Santa Catarina, Florian\u00f3polis, Brazil","institution_ids":["https://openalex.org/I4104125"]},{"raw_affiliation_string":"UFSC - Universidade Federal de Santa Catarina = Federal University of Santa Catarina [Florian\u00f3polis] (R. Eng. Agron\u00f4mico Andrei Cristian Ferreira, s/n - Trindade, Florian\u00f3polis - SC, 88040-900 - Brazil)","institution_ids":["https://openalex.org/I4104125"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072861677","display_name":"Carlos E. de Souza","orcid":null},"institutions":[{"id":"https://openalex.org/I4210142352","display_name":"Laborat\u00f3rio Nacional de Computa\u00e7\u00e3o Cient\u00edfica","ror":"https://ror.org/0498ekt05","country_code":"BR","type":"government","lineage":["https://openalex.org/I4210142352"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Carlos E. de Souza","raw_affiliation_strings":["Department of Mathematical and Computational Methods, Laborat\u00f3rio Nacional de Computa\u00e7\u00e3o Cient\u00edfica (LNCC/MCTIC), Petr\u00f3polis, Brazil","LNCC / MCT - Laboratorio Nacional de Computa\u00e7\u00e3o Cientifica [Rio de Janeiro] (LNCC, Av. Getulio Vargas, 333, Quitandinha, 25651-075, Petropolis, RJ - Brazil)"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical and Computational Methods, Laborat\u00f3rio Nacional de Computa\u00e7\u00e3o Cient\u00edfica (LNCC/MCTIC), Petr\u00f3polis, Brazil","institution_ids":["https://openalex.org/I4210142352"]},{"raw_affiliation_string":"LNCC / MCT - Laboratorio Nacional de Computa\u00e7\u00e3o Cientifica [Rio de Janeiro] (LNCC, Av. Getulio Vargas, 333, Quitandinha, 25651-075, Petropolis, RJ - Brazil)","institution_ids":["https://openalex.org/I4210142352"]}]},{"author_position":"middle","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":"Joao Manoel Gomes da Silva","raw_affiliation_strings":["Department of Automation and Energy Systems, Universidade Federal do Rio Grande do Sul, Porto Alegre, Brazil","UFRGS - Universidade Federal do Rio Grande do Sul [Porto Alegre] (Av. Paulo Gama, 110 - Bairro Farroupilha - Porto Alegre - Rio Grande do Sul - Brazil)"],"affiliations":[{"raw_affiliation_string":"Department of Automation and Energy Systems, Universidade Federal do Rio Grande do Sul, Porto Alegre, Brazil","institution_ids":["https://openalex.org/I130442723"]},{"raw_affiliation_string":"UFRGS - Universidade Federal do Rio Grande do Sul [Porto Alegre] (Av. Paulo Gama, 110 - Bairro Farroupilha - Porto Alegre - Rio Grande do Sul - Brazil)","institution_ids":["https://openalex.org/I130442723"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082204690","display_name":"Andr\u00e9 Francisco Caldeira","orcid":"https://orcid.org/0000-0002-4939-2709"},"institutions":[{"id":"https://openalex.org/I4104125","display_name":"Universidade Federal de Santa Catarina","ror":"https://ror.org/041akq887","country_code":"BR","type":"education","lineage":["https://openalex.org/I4104125"]},{"id":"https://openalex.org/I4210124956","display_name":"GIPSA-Lab","ror":"https://ror.org/02wrme198","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I4210124956","https://openalex.org/I899635006","https://openalex.org/I899635006"]}],"countries":["BR","FR"],"is_corresponding":false,"raw_author_name":"Andre F. Caldeira","raw_affiliation_strings":["GIPSA-lab, Grenoble, France","Graduate Program on Engineering of Automation and Systems, Universidade Federal de Santa Catarina, Florian\u00f3polis, Brazil","UFSC - Universidade Federal de Santa Catarina = Federal University of Santa Catarina [Florian\u00f3polis] (R. Eng. Agron\u00f4mico Andrei Cristian Ferreira, s/n - Trindade, Florian\u00f3polis - SC, 88040-900 - Brazil)","GIPSA-INFINITY - GIPSA - Infinite Dimensional Dynamics (GIPSA-lab, 11 rue des Math\u00e9matiques, Grenoble Campus BP46, F-38402 SAINT MARTIN D'HERES CEDEX - France)"],"affiliations":[{"raw_affiliation_string":"GIPSA-lab, Grenoble, France","institution_ids":["https://openalex.org/I4210124956"]},{"raw_affiliation_string":"Graduate Program on Engineering of Automation and Systems, Universidade Federal de Santa Catarina, Florian\u00f3polis, Brazil","institution_ids":["https://openalex.org/I4104125"]},{"raw_affiliation_string":"UFSC - Universidade Federal de Santa Catarina = Federal University of Santa Catarina [Florian\u00f3polis] (R. Eng. Agron\u00f4mico Andrei Cristian Ferreira, s/n - Trindade, Florian\u00f3polis - SC, 88040-900 - Brazil)","institution_ids":["https://openalex.org/I4104125"]},{"raw_affiliation_string":"GIPSA-INFINITY - GIPSA - Infinite Dimensional Dynamics (GIPSA-lab, 11 rue des Math\u00e9matiques, Grenoble Campus BP46, F-38402 SAINT MARTIN D'HERES CEDEX - France)","institution_ids":["https://openalex.org/I4210124956"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083387069","display_name":"Christophe Prieur","orcid":"https://orcid.org/0000-0002-4456-2019"},"institutions":[{"id":"https://openalex.org/I106785703","display_name":"Institut polytechnique de Grenoble","ror":"https://ror.org/05sbt2524","country_code":"FR","type":"education","lineage":["https://openalex.org/I106785703","https://openalex.org/I899635006"]},{"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/I4210124956","display_name":"GIPSA-Lab","ror":"https://ror.org/02wrme198","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I4210124956","https://openalex.org/I899635006","https://openalex.org/I899635006"]},{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Christophe Prieur","raw_affiliation_strings":["Universit\u00e9 Grenoble Alpes, CNRS, Grenoble INP, GIPSA-lab, Grenoble, France","GIPSA-INFINITY - GIPSA - Infinite Dimensional Dynamics (GIPSA-lab, 11 rue des Math\u00e9matiques, Grenoble Campus BP46, F-38402 SAINT MARTIN D'HERES CEDEX - France)"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Grenoble Alpes, CNRS, Grenoble INP, GIPSA-lab, Grenoble, France","institution_ids":["https://openalex.org/I106785703","https://openalex.org/I4210124956","https://openalex.org/I899635006","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"GIPSA-INFINITY - GIPSA - Infinite Dimensional Dynamics (GIPSA-lab, 11 rue des Math\u00e9matiques, Grenoble Campus BP46, F-38402 SAINT MARTIN D'HERES CEDEX - France)","institution_ids":["https://openalex.org/I4210124956"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5012031694"],"corresponding_institution_ids":["https://openalex.org/I4104125"],"apc_list":null,"apc_paid":null,"fwci":1.5126,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.83012439,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"65","issue":"5","first_page":"2300","last_page":"2307"},"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":0.9998000264167786,"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/T10046","display_name":"Stability and Control of Uncertain 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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.995199978351593,"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":0.9945999979972839,"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/mathematics","display_name":"Mathematics","score":0.6762527227401733},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6748356819152832},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6471094489097595},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6389344930648804},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.6112602949142456},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5802054405212402},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5707837343215942},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5475663542747498},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.5286959409713745},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5193106532096863},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4562895894050598},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.43888595700263977},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.4262779951095581},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.42433324456214905},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36042770743370056},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.22127968072891235},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21787413954734802},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09039607644081116},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.06784522533416748}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6762527227401733},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6748356819152832},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6471094489097595},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6389344930648804},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.6112602949142456},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5802054405212402},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5707837343215942},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5475663542747498},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.5286959409713745},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5193106532096863},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4562895894050598},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.43888595700263977},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4262779951095581},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.42433324456214905},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36042770743370056},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.22127968072891235},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21787413954734802},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09039607644081116},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.06784522533416748},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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":2,"locations":[{"id":"doi:10.1109/tac.2019.2931952","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2019.2931952","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Transactions on Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-02917930v1","is_oa":false,"landing_page_url":"https://hal.science/hal-02917930","pdf_url":null,"source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Automatic Control, 2020, 65 (5), pp.2300-2307. ⟨10.1109/TAC.2019.2931952⟩","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1492901653","https://openalex.org/W1506119886","https://openalex.org/W1607633954","https://openalex.org/W1963629795","https://openalex.org/W1976757495","https://openalex.org/W1987011453","https://openalex.org/W1992919062","https://openalex.org/W2000781652","https://openalex.org/W2021731075","https://openalex.org/W2029382455","https://openalex.org/W2037145676","https://openalex.org/W2052131759","https://openalex.org/W2070032842","https://openalex.org/W2079838502","https://openalex.org/W2091817662","https://openalex.org/W2117282092","https://openalex.org/W2121636300","https://openalex.org/W2134171990","https://openalex.org/W2137470393","https://openalex.org/W2141333364","https://openalex.org/W2147412504","https://openalex.org/W2149845256","https://openalex.org/W2151637703","https://openalex.org/W2152520525","https://openalex.org/W2167094764","https://openalex.org/W2171541961","https://openalex.org/W2489977962","https://openalex.org/W2526400571","https://openalex.org/W2586585688","https://openalex.org/W3145564951","https://openalex.org/W3149074374","https://openalex.org/W3210839039","https://openalex.org/W4211202937","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2164703465","https://openalex.org/W2168383058","https://openalex.org/W2143247663","https://openalex.org/W2050693590","https://openalex.org/W2060195842","https://openalex.org/W2020788389","https://openalex.org/W2147442790","https://openalex.org/W2379295215","https://openalex.org/W4728229","https://openalex.org/W4387410785"],"abstract_inverted_index":{"This":[0],"paper":[1],"addresses":[2],"the":[3,29,43,50,87,99,115,118],"problem":[4],"of":[5,8,49,57,60,78,108,117],"local":[6,45],"stabilization":[7,120],"nonlinear":[9,37],"polynomial":[10,38],"control":[11],"systems":[12],"subject":[13],"to":[14,68],"time-varying":[15],"input":[16,102],"delay":[17,88,103],"and":[18,89],"polytopic":[19],"parameter":[20],"uncertainty.":[21],"A":[22],"linear":[23],"matrix":[24],"inequality":[25],"approach":[26],"based":[27],"on":[28,86,98],"Lyapunov-Krasovskii":[30],"theory":[31],"is":[32],"proposed":[33,119],"for":[34,82],"designing":[35],"a":[36,70,75,94,105],"state":[39],"feedback":[40],"controller":[41,72],"ensuring":[42,73],"robust":[44],"uniform":[46],"asymptotic":[47],"stability":[48],"system":[51],"origin":[52],"along":[53],"with":[54],"an":[55],"estimate":[56],"its":[58,90],"region":[59],"attraction.":[61],"Two":[62],"convex":[63],"optimization":[64],"procedures":[65],"are":[66],"presented":[67],"compute":[69],"stabilizing":[71],"either":[74],"maximized":[76,95],"set":[77,107],"admissible":[79,101,109],"initial":[80,110],"states":[81],"given":[83,106],"upper":[84],"bounds":[85],"variation":[91],"rate":[92],"or":[93],"lower":[96],"bound":[97],"maximum":[100],"considering":[104],"states.":[111],"Numerical":[112],"examples":[113],"demonstrate":[114],"potentials":[116],"approach.":[121]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2}],"updated_date":"2026-03-27T14:29:43.386196","created_date":"2025-10-10T00:00:00"}