{"id":"https://openalex.org/W2043180373","doi":"https://doi.org/10.1007/s00034-011-9266-0","title":"Optimal Controller for Stochastic Polynomial Systems with State-Dependent Polynomial Input","display_name":"Optimal Controller for Stochastic Polynomial Systems with State-Dependent Polynomial Input","publication_year":2011,"publication_date":"2011-01-25","ids":{"openalex":"https://openalex.org/W2043180373","doi":"https://doi.org/10.1007/s00034-011-9266-0","mag":"2043180373"},"language":"en","primary_location":{"id":"doi:10.1007/s00034-011-9266-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00034-011-9266-0","pdf_url":null,"source":{"id":"https://openalex.org/S20109229","display_name":"Circuits Systems and Signal Processing","issn_l":"0278-081X","issn":["0278-081X","1531-5878"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Circuits, Systems, and Signal Processing","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/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":true,"raw_author_name":"Michael Basin","raw_affiliation_strings":["Department of Physical and Mathematical Sciences, Autonomous University of Nuevo Leon, Apdo postal 144-F, CP 66450, San Nicolas de los Garza, Nuevo Leon, Mexico","Autonomous University of Nuevo Le\u00f3n"],"affiliations":[{"raw_affiliation_string":"Department of Physical and Mathematical Sciences, Autonomous University of Nuevo Leon, Apdo postal 144-F, CP 66450, San Nicolas de los Garza, Nuevo Leon, Mexico","institution_ids":["https://openalex.org/I169046204"]},{"raw_affiliation_string":"Autonomous University of Nuevo Le\u00f3n","institution_ids":["https://openalex.org/I169046204"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083196859","display_name":"Alexander G. Loukianov","orcid":"https://orcid.org/0000-0001-5708-803X"},"institutions":[{"id":"https://openalex.org/I68368234","display_name":"Center for Research and Advanced Studies of the National Polytechnic Institute","ror":"https://ror.org/009eqmr18","country_code":"MX","type":"facility","lineage":["https://openalex.org/I59361560","https://openalex.org/I68368234"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Alexander Loukianov","raw_affiliation_strings":["Center for Research and Graduate Studies (CINVESTAV), Campus Guadalajara, Av. Cientifica 1145, Zapopan, Jalisco, Mexico","Center for Research and Graduate Studies (CINVESTAV)"],"affiliations":[{"raw_affiliation_string":"Center for Research and Graduate Studies (CINVESTAV), Campus Guadalajara, Av. Cientifica 1145, Zapopan, Jalisco, Mexico","institution_ids":["https://openalex.org/I68368234"]},{"raw_affiliation_string":"Center for Research and Graduate Studies (CINVESTAV)","institution_ids":["https://openalex.org/I68368234"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101645206","display_name":"Miguel Hernandez\u2010Gonzalez","orcid":"https://orcid.org/0000-0001-7445-314X"},"institutions":[{"id":"https://openalex.org/I68368234","display_name":"Center for Research and Advanced Studies of the National Polytechnic Institute","ror":"https://ror.org/009eqmr18","country_code":"MX","type":"facility","lineage":["https://openalex.org/I59361560","https://openalex.org/I68368234"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Miguel Hernandez-Gonzalez","raw_affiliation_strings":["Center for Research and Graduate Studies (CINVESTAV), Campus Guadalajara, Av. Cientifica 1145, Zapopan, Jalisco, Mexico","Center for Research and Graduate Studies (CINVESTAV)"],"affiliations":[{"raw_affiliation_string":"Center for Research and Graduate Studies (CINVESTAV), Campus Guadalajara, Av. Cientifica 1145, Zapopan, Jalisco, Mexico","institution_ids":["https://openalex.org/I68368234"]},{"raw_affiliation_string":"Center for Research and Graduate Studies (CINVESTAV)","institution_ids":["https://openalex.org/I68368234"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5062522049"],"corresponding_institution_ids":["https://openalex.org/I169046204"],"apc_list":null,"apc_paid":null,"fwci":2.6259,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.90633879,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"30","issue":"6","first_page":"1463","last_page":"1479"},"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":0.9868999719619751,"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":0.9868999719619751,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9866999983787537,"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":0.9835000038146973,"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/linear-quadratic-gaussian-control","display_name":"Linear-quadratic-Gaussian control","score":0.8978045582771301},{"id":"https://openalex.org/keywords/linear-quadratic-regulator","display_name":"Linear-quadratic regulator","score":0.7302526831626892},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.6397318840026855},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6287647485733032},{"id":"https://openalex.org/keywords/separation-principle","display_name":"Separation principle","score":0.6153576374053955},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5830718874931335},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.57651287317276},{"id":"https://openalex.org/keywords/optimal-projection-equations","display_name":"Optimal projection equations","score":0.575993537902832},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5421314239501953},{"id":"https://openalex.org/keywords/matrix-polynomial","display_name":"Matrix polynomial","score":0.441000759601593},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4363400936126709},{"id":"https://openalex.org/keywords/stochastic-control","display_name":"Stochastic control","score":0.41348063945770264},{"id":"https://openalex.org/keywords/quadratic-function","display_name":"Quadratic function","score":0.41202616691589355},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.37950751185417175},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34765931963920593},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.31884586811065674},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.18023189902305603},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.17054304480552673},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06653448939323425}],"concepts":[{"id":"https://openalex.org/C204495892","wikidata":"https://www.wikidata.org/wiki/Q1798304","display_name":"Linear-quadratic-Gaussian control","level":3,"score":0.8978045582771301},{"id":"https://openalex.org/C98779006","wikidata":"https://www.wikidata.org/wiki/Q2520550","display_name":"Linear-quadratic regulator","level":3,"score":0.7302526831626892},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6397318840026855},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6287647485733032},{"id":"https://openalex.org/C62431964","wikidata":"https://www.wikidata.org/wiki/Q2271572","display_name":"Separation principle","level":4,"score":0.6153576374053955},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5830718874931335},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.57651287317276},{"id":"https://openalex.org/C35919555","wikidata":"https://www.wikidata.org/wiki/Q7098948","display_name":"Optimal projection equations","level":4,"score":0.575993537902832},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5421314239501953},{"id":"https://openalex.org/C101044782","wikidata":"https://www.wikidata.org/wiki/Q6787887","display_name":"Matrix polynomial","level":3,"score":0.441000759601593},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4363400936126709},{"id":"https://openalex.org/C170131372","wikidata":"https://www.wikidata.org/wiki/Q7617811","display_name":"Stochastic control","level":3,"score":0.41348063945770264},{"id":"https://openalex.org/C166437778","wikidata":"https://www.wikidata.org/wiki/Q50695","display_name":"Quadratic function","level":3,"score":0.41202616691589355},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37950751185417175},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34765931963920593},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31884586811065674},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.18023189902305603},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.17054304480552673},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06653448939323425},{"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/C3031470","wikidata":"https://www.wikidata.org/wiki/Q818544","display_name":"State observer","level":3,"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/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},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00034-011-9266-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00034-011-9266-0","pdf_url":null,"source":{"id":"https://openalex.org/S20109229","display_name":"Circuits Systems and Signal Processing","issn_l":"0278-081X","issn":["0278-081X","1531-5878"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Circuits, Systems, and Signal Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W591296147","https://openalex.org/W600407423","https://openalex.org/W627178554","https://openalex.org/W1536997931","https://openalex.org/W1567262822","https://openalex.org/W1963921091","https://openalex.org/W1964146443","https://openalex.org/W1965640670","https://openalex.org/W1967575206","https://openalex.org/W1971823108","https://openalex.org/W1979920002","https://openalex.org/W1985976239","https://openalex.org/W2013430422","https://openalex.org/W2013589127","https://openalex.org/W2014575627","https://openalex.org/W2015174189","https://openalex.org/W2017694829","https://openalex.org/W2030735043","https://openalex.org/W2045065070","https://openalex.org/W2050447955","https://openalex.org/W2053062482","https://openalex.org/W2058187458","https://openalex.org/W2062145283","https://openalex.org/W2072616783","https://openalex.org/W2073283839","https://openalex.org/W2077730310","https://openalex.org/W2083402998","https://openalex.org/W2099264463","https://openalex.org/W2109464743","https://openalex.org/W2111818366","https://openalex.org/W2128313601","https://openalex.org/W2151337373","https://openalex.org/W2163802593","https://openalex.org/W2167265353","https://openalex.org/W2321052409","https://openalex.org/W2341171179","https://openalex.org/W4302609762"],"related_works":["https://openalex.org/W2060867552","https://openalex.org/W2735852352","https://openalex.org/W2028074041","https://openalex.org/W2047691814","https://openalex.org/W1974507275","https://openalex.org/W4292503676","https://openalex.org/W2002836858","https://openalex.org/W2578311618","https://openalex.org/W2116227114","https://openalex.org/W1981187867"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}