{"id":"https://openalex.org/W2006798482","doi":"https://doi.org/10.1007/s10589-007-9015-2","title":"Nonlinear feedback controllers and compensators: a state-dependent Riccati equation approach","display_name":"Nonlinear feedback controllers and compensators: a state-dependent Riccati equation approach","publication_year":2007,"publication_date":"2007-03-23","ids":{"openalex":"https://openalex.org/W2006798482","doi":"https://doi.org/10.1007/s10589-007-9015-2","mag":"2006798482"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-007-9015-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-007-9015-2","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Optimization and Applications","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/A5111989562","display_name":"H. T. Banks","orcid":null},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"H. T. Banks","raw_affiliation_strings":["Center for Research in Scientific Computation, Department of Mathematics, North Carolina State University, Raleigh, NC, 27695, USA","Center for Research in Scientific Computation, Department of Mathematics, North Carolina State University, Raleigh, USA 27695#TAB#"],"affiliations":[{"raw_affiliation_string":"Center for Research in Scientific Computation, Department of Mathematics, North Carolina State University, Raleigh, NC, 27695, USA","institution_ids":["https://openalex.org/I137902535"]},{"raw_affiliation_string":"Center for Research in Scientific Computation, Department of Mathematics, North Carolina State University, Raleigh, USA 27695#TAB#","institution_ids":["https://openalex.org/I137902535"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006809479","display_name":"Brian M. Lewis","orcid":null},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]},{"id":"https://openalex.org/I4210122954","display_name":"MIT Lincoln Laboratory","ror":"https://ror.org/022z6jk58","country_code":"US","type":"facility","lineage":["https://openalex.org/I4210122954","https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"B. M. Lewis","raw_affiliation_strings":["MIT Lincoln Laboratory, Massachussetts Institute of Technology, 244 Wood Street, Lexington, MA, 02420, USA","MIT Lincoln Laboratory, Massachussetts Institute of Technology, Lexington, USA 02420"],"affiliations":[{"raw_affiliation_string":"MIT Lincoln Laboratory, Massachussetts Institute of Technology, 244 Wood Street, Lexington, MA, 02420, USA","institution_ids":["https://openalex.org/I4210122954"]},{"raw_affiliation_string":"MIT Lincoln Laboratory, Massachussetts Institute of Technology, Lexington, USA 02420","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064597793","display_name":"Hien Tran","orcid":"https://orcid.org/0000-0002-2348-746X"},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"H. T. Tran","raw_affiliation_strings":["Center for Research in Scientific Computation, Department of Mathematics, North Carolina State University, Raleigh, NC, 27695, USA","Center for Research in Scientific Computation, Department of Mathematics, North Carolina State University, Raleigh, USA 27695#TAB#"],"affiliations":[{"raw_affiliation_string":"Center for Research in Scientific Computation, Department of Mathematics, North Carolina State University, Raleigh, NC, 27695, USA","institution_ids":["https://openalex.org/I137902535"]},{"raw_affiliation_string":"Center for Research in Scientific Computation, Department of Mathematics, North Carolina State University, Raleigh, USA 27695#TAB#","institution_ids":["https://openalex.org/I137902535"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5111989562"],"corresponding_institution_ids":["https://openalex.org/I137902535"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":16.6931,"has_fulltext":false,"cited_by_count":233,"citation_normalized_percentile":{"value":0.99013965,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"37","issue":"2","first_page":"177","last_page":"218"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9986000061035156,"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":0.9986000061035156,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9948999881744385,"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/riccati-equation","display_name":"Riccati equation","score":0.7971553802490234},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7113178968429565},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6991045475006104},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6938751935958862},{"id":"https://openalex.org/keywords/linear-quadratic-regulator","display_name":"Linear-quadratic regulator","score":0.6821768283843994},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.5427054166793823},{"id":"https://openalex.org/keywords/algebraic-riccati-equation","display_name":"Algebraic Riccati equation","score":0.5050838589668274},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.47416654229164124},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.46866002678871155},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4543946087360382},{"id":"https://openalex.org/keywords/nonlinear-control","display_name":"Nonlinear control","score":0.4413539171218872},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.389987051486969},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3172318637371063},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18680143356323242},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.14522281289100647},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14281043410301208},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.12200766801834106}],"concepts":[{"id":"https://openalex.org/C45473103","wikidata":"https://www.wikidata.org/wiki/Q851503","display_name":"Riccati equation","level":3,"score":0.7971553802490234},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7113178968429565},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6991045475006104},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6938751935958862},{"id":"https://openalex.org/C98779006","wikidata":"https://www.wikidata.org/wiki/Q2520550","display_name":"Linear-quadratic regulator","level":3,"score":0.6821768283843994},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.5427054166793823},{"id":"https://openalex.org/C13847129","wikidata":"https://www.wikidata.org/wiki/Q4723989","display_name":"Algebraic Riccati equation","level":4,"score":0.5050838589668274},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.47416654229164124},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.46866002678871155},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4543946087360382},{"id":"https://openalex.org/C91581856","wikidata":"https://www.wikidata.org/wiki/Q2707001","display_name":"Nonlinear control","level":3,"score":0.4413539171218872},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.389987051486969},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3172318637371063},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18680143356323242},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.14522281289100647},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14281043410301208},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.12200766801834106},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10589-007-9015-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-007-9015-2","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Optimization and Applications","raw_type":"journal-article"},{"id":"pmh:oai:repository.lib.ncsu.edu:1840.4/498","is_oa":false,"landing_page_url":"http://www.ncsu.edu/crsc/reports/ftp/pdf/crsc-tr03-26.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306402468","display_name":"NCSU Libraries Repository (North Carolina State University Libraries)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I137902535","host_organization_name":"North Carolina State University","host_organization_lineage":["https://openalex.org/I137902535"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Technical report"},{"id":"pmh:ADA454448","is_oa":false,"landing_page_url":"http://oai.dtic.mil/oai/oai?&amp;verb=getRecord&amp;metadataPrefix=html&amp;identifier=ADA454448","pdf_url":null,"source":{"id":"https://openalex.org/S4406923043","display_name":"Defense Technical Information Center (DTIC)","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":"DTIC","raw_type":"Text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":56,"referenced_works":["https://openalex.org/W148906065","https://openalex.org/W177930832","https://openalex.org/W603991441","https://openalex.org/W1487127700","https://openalex.org/W1498561008","https://openalex.org/W1509478393","https://openalex.org/W1522531528","https://openalex.org/W1547930079","https://openalex.org/W1570588605","https://openalex.org/W1573236784","https://openalex.org/W1868559974","https://openalex.org/W1883605187","https://openalex.org/W1887006513","https://openalex.org/W1967446143","https://openalex.org/W1969931576","https://openalex.org/W1986363774","https://openalex.org/W1992476983","https://openalex.org/W1995408262","https://openalex.org/W2000591741","https://openalex.org/W2012590521","https://openalex.org/W2013781074","https://openalex.org/W2021956888","https://openalex.org/W2027946700","https://openalex.org/W2043108334","https://openalex.org/W2044298238","https://openalex.org/W2048225205","https://openalex.org/W2056583404","https://openalex.org/W2057839703","https://openalex.org/W2065313971","https://openalex.org/W2068611009","https://openalex.org/W2072875220","https://openalex.org/W2075760028","https://openalex.org/W2085740870","https://openalex.org/W2086056868","https://openalex.org/W2090167557","https://openalex.org/W2098403928","https://openalex.org/W2100621899","https://openalex.org/W2117175541","https://openalex.org/W2120818273","https://openalex.org/W2143349464","https://openalex.org/W2356083104","https://openalex.org/W2487561128","https://openalex.org/W2491618087","https://openalex.org/W2508367794","https://openalex.org/W2524114918","https://openalex.org/W2540877599","https://openalex.org/W2593498774","https://openalex.org/W2606896788","https://openalex.org/W2606899919","https://openalex.org/W2724669243","https://openalex.org/W2798534591","https://openalex.org/W3160954918","https://openalex.org/W3195133498","https://openalex.org/W4230627293","https://openalex.org/W4250888155","https://openalex.org/W4292872153"],"related_works":["https://openalex.org/W2107449083","https://openalex.org/W2334216590","https://openalex.org/W3004271191","https://openalex.org/W1802932341","https://openalex.org/W2123097656","https://openalex.org/W2010344625","https://openalex.org/W2165649671","https://openalex.org/W2105442622","https://openalex.org/W2095623943","https://openalex.org/W1605411138"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":17},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":21},{"year":2021,"cited_by_count":11},{"year":2020,"cited_by_count":12},{"year":2019,"cited_by_count":17},{"year":2018,"cited_by_count":14},{"year":2017,"cited_by_count":10},{"year":2016,"cited_by_count":11},{"year":2015,"cited_by_count":13},{"year":2014,"cited_by_count":19},{"year":2013,"cited_by_count":17},{"year":2012,"cited_by_count":15}],"updated_date":"2026-04-12T07:58:50.170612","created_date":"2025-10-10T00:00:00"}
