{"id":"https://openalex.org/W2093124749","doi":"https://doi.org/10.1109/acc.2013.6580612","title":"Optimal control for a polynomial system with a quadratic criterion over infinite horizon","display_name":"Optimal control for a polynomial system with a quadratic criterion over infinite horizon","publication_year":2013,"publication_date":"2013-06-01","ids":{"openalex":"https://openalex.org/W2093124749","doi":"https://doi.org/10.1109/acc.2013.6580612","mag":"2093124749"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2013.6580612","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2013.6580612","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 American Control Conference","raw_type":"proceedings-article"},"type":"conference-paper","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/A5062522049","display_name":"Michael Basin","orcid":"https://orcid.org/0000-0002-7274-4303"},"institutions":[{"id":"https://openalex.org/I169046204","display_name":"Universidad Aut\u00f3noma de Nuevo Le\u00f3n","ror":"https://ror.org/01fh86n78","country_code":"MX","type":"education","lineage":["https://openalex.org/I169046204"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Michael Basin","raw_affiliation_strings":["Department of Physical and Mathematical Sciences, Autonomous University of Nuevo Le\u00f3n, San Nicolas de los Garza, Nuevo Leon, Mexico","Dept. of Phys. & Math. Sci., Autonomous Univ. of Nuevo Leon, San Nicolas de Los Garza, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physical and Mathematical Sciences, Autonomous University of Nuevo Le\u00f3n, San Nicolas de los Garza, Nuevo Leon, Mexico","institution_ids":["https://openalex.org/I169046204"]},{"raw_affiliation_string":"Dept. of Phys. & Math. Sci., Autonomous Univ. of Nuevo Leon, San Nicolas de Los Garza, Mexico","institution_ids":["https://openalex.org/I169046204"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025176811","display_name":"Manuel Jim\u00e9nez\u2010Liz\u00e1rraga","orcid":"https://orcid.org/0000-0002-1071-220X"},"institutions":[{"id":"https://openalex.org/I169046204","display_name":"Universidad Aut\u00f3noma de Nuevo Le\u00f3n","ror":"https://ror.org/01fh86n78","country_code":"MX","type":"education","lineage":["https://openalex.org/I169046204"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Manuel Jimenez-Lizarraga","raw_affiliation_strings":["Department of Physical and Mathematical Sciences, Autonomous University of Nuevo Le\u00f3n, San Nicolas de los Garza, Nuevo Leon, Mexico","Dept. of Phys. & Math. Sci., Autonomous Univ. of Nuevo Leon, San Nicolas de Los Garza, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physical and Mathematical Sciences, Autonomous University of Nuevo Le\u00f3n, San Nicolas de los Garza, Nuevo Leon, Mexico","institution_ids":["https://openalex.org/I169046204"]},{"raw_affiliation_string":"Dept. of Phys. & Math. Sci., Autonomous Univ. of Nuevo Leon, San Nicolas de Los Garza, Mexico","institution_ids":["https://openalex.org/I169046204"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041284015","display_name":"Pablo Rodr\u00edguez-Ram\u00edrez","orcid":"https://orcid.org/0000-0001-5660-9497"},"institutions":[{"id":"https://openalex.org/I169046204","display_name":"Universidad Aut\u00f3noma de Nuevo Le\u00f3n","ror":"https://ror.org/01fh86n78","country_code":"MX","type":"education","lineage":["https://openalex.org/I169046204"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Pablo Rodriguez-Ramirez","raw_affiliation_strings":["Department of Physical and Mathematical Sciences, Autonomous University of Nuevo Le\u00f3n, San Nicolas de los Garza, Nuevo Leon, Mexico","Dept. of Phys. & Math. Sci., Autonomous Univ. of Nuevo Leon, San Nicolas de Los Garza, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physical and Mathematical Sciences, Autonomous University of Nuevo Le\u00f3n, San Nicolas de los Garza, Nuevo Leon, Mexico","institution_ids":["https://openalex.org/I169046204"]},{"raw_affiliation_string":"Dept. of Phys. & Math. Sci., Autonomous Univ. of Nuevo Leon, San Nicolas de Los Garza, Mexico","institution_ids":["https://openalex.org/I169046204"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017767100","display_name":"Celeste Rodr\u00edguez-Carre\u00f3n","orcid":"https://orcid.org/0000-0003-1463-8294"},"institutions":[{"id":"https://openalex.org/I169046204","display_name":"Universidad Aut\u00f3noma de Nuevo Le\u00f3n","ror":"https://ror.org/01fh86n78","country_code":"MX","type":"education","lineage":["https://openalex.org/I169046204"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Celeste Rodriguez-Carreon","raw_affiliation_strings":["Department of Physical and Mathematical Sciences, Autonomous University of Nuevo Le\u00f3n, San Nicolas de los Garza, Nuevo Leon, Mexico","Dept. of Phys. & Math. Sci., Autonomous Univ. of Nuevo Leon, San Nicolas de Los Garza, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physical and Mathematical Sciences, Autonomous University of Nuevo Le\u00f3n, San Nicolas de los Garza, Nuevo Leon, Mexico","institution_ids":["https://openalex.org/I169046204"]},{"raw_affiliation_string":"Dept. of Phys. & Math. Sci., Autonomous Univ. of Nuevo Leon, San Nicolas de Los Garza, Mexico","institution_ids":["https://openalex.org/I169046204"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I169046204"],"apc_list":null,"apc_paid":null,"fwci":0.468,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.59182094,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"33","issue":null,"first_page":"4987","last_page":"4992"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9983999729156494,"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":"Advanced Control Systems Optimization","score":0.9983999729156494,"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/T14083","display_name":"Extremum Seeking Control Systems","score":0.9939000010490417,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.982699990272522,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/linear-quadratic-regulator","display_name":"Linear-quadratic regulator","score":0.8733340501785278},{"id":"https://openalex.org/keywords/algebraic-riccati-equation","display_name":"Algebraic Riccati equation","score":0.7615708708763123},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.7094732522964478},{"id":"https://openalex.org/keywords/riccati-equation","display_name":"Riccati equation","score":0.6452069878578186},{"id":"https://openalex.org/keywords/linear-quadratic-gaussian-control","display_name":"Linear-quadratic-Gaussian control","score":0.6285220980644226},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5931023359298706},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5148198008537292},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.513769268989563},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.501049280166626},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4675024747848511},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.46708130836486816},{"id":"https://openalex.org/keywords/algebraic-equation","display_name":"Algebraic equation","score":0.4600740373134613},{"id":"https://openalex.org/keywords/matrix-polynomial","display_name":"Matrix polynomial","score":0.44134262204170227},{"id":"https://openalex.org/keywords/horizon","display_name":"Horizon","score":0.42998746037483215},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4281435012817383},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.33702218532562256},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.32018059492111206},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28729212284088135},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17653417587280273},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.16918981075286865},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.1000678539276123},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06495073437690735}],"concepts":[{"id":"https://openalex.org/C98779006","wikidata":"https://www.wikidata.org/wiki/Q2520550","display_name":"Linear-quadratic regulator","level":3,"score":0.8733340501785278},{"id":"https://openalex.org/C13847129","wikidata":"https://www.wikidata.org/wiki/Q4723989","display_name":"Algebraic Riccati equation","level":4,"score":0.7615708708763123},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.7094732522964478},{"id":"https://openalex.org/C45473103","wikidata":"https://www.wikidata.org/wiki/Q851503","display_name":"Riccati equation","level":3,"score":0.6452069878578186},{"id":"https://openalex.org/C204495892","wikidata":"https://www.wikidata.org/wiki/Q1798304","display_name":"Linear-quadratic-Gaussian control","level":3,"score":0.6285220980644226},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5931023359298706},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5148198008537292},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.513769268989563},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.501049280166626},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4675024747848511},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.46708130836486816},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.4600740373134613},{"id":"https://openalex.org/C101044782","wikidata":"https://www.wikidata.org/wiki/Q6787887","display_name":"Matrix polynomial","level":3,"score":0.44134262204170227},{"id":"https://openalex.org/C159176650","wikidata":"https://www.wikidata.org/wiki/Q43261","display_name":"Horizon","level":2,"score":0.42998746037483215},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4281435012817383},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33702218532562256},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.32018059492111206},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28729212284088135},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17653417587280273},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.16918981075286865},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.1000678539276123},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06495073437690735},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2013.6580612","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2013.6580612","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 American Control Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.550000011920929,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W83533993","https://openalex.org/W1522531528","https://openalex.org/W1965640670","https://openalex.org/W1980196801","https://openalex.org/W1983859989","https://openalex.org/W1986363774","https://openalex.org/W2003196607","https://openalex.org/W2024266654","https://openalex.org/W2027606075","https://openalex.org/W2053374331","https://openalex.org/W2060867552","https://openalex.org/W2064741108","https://openalex.org/W2071834135","https://openalex.org/W2081103703","https://openalex.org/W2083402998","https://openalex.org/W2100621899","https://openalex.org/W2108990406","https://openalex.org/W2114798032","https://openalex.org/W2115447044","https://openalex.org/W2122512809","https://openalex.org/W2141308378","https://openalex.org/W2961703895","https://openalex.org/W6656581761"],"related_works":["https://openalex.org/W2005019312","https://openalex.org/W2547959172","https://openalex.org/W2018296362","https://openalex.org/W2727200542","https://openalex.org/W2726381554","https://openalex.org/W2002357820","https://openalex.org/W2997206142","https://openalex.org/W2027962246","https://openalex.org/W2116228702","https://openalex.org/W2244442793"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"an":[3],"optimal":[4,30],"control":[5,31,48],"algorithm":[6],"for":[7,33],"a":[8,12,22,34,38,46,53],"polynomial":[9,35],"system":[10,36],"with":[11,37],"quadratic":[13,39],"criterion":[14],"over":[15],"infinite":[16,28],"horizon.":[17],"The":[18,41],"designed":[19],"regulator":[20],"gives":[21],"closed":[23],"form":[24],"solution":[25,43],"to":[26],"the":[27,59,64,69],"horizon":[29],"problem":[32],"criterion.":[40],"obtained":[42,50],"consists":[44],"in":[45,63],"feedback":[47],"law":[49],"by":[51],"solving":[52],"Riccati":[54],"algebraic":[55],"equation":[56],"dependent":[57],"on":[58],"state.":[60],"Numerical":[61],"simulations":[62],"example":[65],"show":[66],"advantages":[67],"of":[68],"developed":[70],"algorithm.":[71]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
