{"id":"https://openalex.org/W176320170","doi":"https://doi.org/10.1023/a:1018694111831","title":"Pseudospectral Chebyshev Optimal Control of Constrained Nonlinear Dynamical Systems","display_name":"Pseudospectral Chebyshev Optimal Control of Constrained Nonlinear Dynamical Systems","publication_year":1998,"publication_date":"1998-11-01","ids":{"openalex":"https://openalex.org/W176320170","doi":"https://doi.org/10.1023/a:1018694111831","mag":"176320170"},"language":"en","primary_location":{"id":"doi:10.1023/a:1018694111831","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1018694111831","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/A5048403129","display_name":"Gamal N. Elnagar","orcid":null},"institutions":[{"id":"https://openalex.org/I127845322","display_name":"University of South Carolina Upstate","ror":"https://ror.org/00t9hhv14","country_code":"US","type":"education","lineage":["https://openalex.org/I127845322"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Gamal N. Elnagar","raw_affiliation_strings":["Department of Mathematics and Computer Science, University of South Carolina Spartanburg, Spartanburg, SC, 29303","Department of Mathematics and Computer Science, University of South Carolina Spartanburg, Spartanburg, SC 29303#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of South Carolina Spartanburg, Spartanburg, SC, 29303","institution_ids":["https://openalex.org/I127845322"]},{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of South Carolina Spartanburg, Spartanburg, SC 29303#TAB#","institution_ids":["https://openalex.org/I127845322"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103284823","display_name":"Mohammad Kazemi","orcid":"https://orcid.org/0000-0001-6993-1549"},"institutions":[{"id":"https://openalex.org/I102149020","display_name":"University of North Carolina at Charlotte","ror":"https://ror.org/04dawnj30","country_code":"US","type":"education","lineage":["https://openalex.org/I102149020"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mohammad A. Kazemi","raw_affiliation_strings":["Department of Mathematics, University of North Carolina at Charlotte, Charlotte, North Carolina, 28223","Department of Mathematics, University of North Carolina at Charlotte, Charlotte, North Carolina 28223"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of North Carolina at Charlotte, Charlotte, North Carolina, 28223","institution_ids":["https://openalex.org/I102149020"]},{"raw_affiliation_string":"Department of Mathematics, University of North Carolina at Charlotte, Charlotte, North Carolina 28223","institution_ids":["https://openalex.org/I102149020"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5048403129"],"corresponding_institution_ids":["https://openalex.org/I127845322"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":15.0411,"has_fulltext":false,"cited_by_count":175,"citation_normalized_percentile":{"value":0.97969063,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"11","issue":"2","first_page":"195","last_page":"217"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11082","display_name":"Spacecraft Dynamics and Control","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T11082","display_name":"Spacecraft Dynamics and Control","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T13855","display_name":"Aerospace Engineering and Control Systems","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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":"Advanced Optimization Algorithms Research","score":0.987500011920929,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8087040185928345},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.7018066644668579},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.5919710993766785},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5084361433982849},{"id":"https://openalex.org/keywords/pseudospectral-optimal-control","display_name":"Pseudospectral optimal control","score":0.5063406229019165},{"id":"https://openalex.org/keywords/chebyshev-nodes","display_name":"Chebyshev nodes","score":0.48374390602111816},{"id":"https://openalex.org/keywords/algebraic-equation","display_name":"Algebraic equation","score":0.4716975688934326},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.45808684825897217},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.45056501030921936},{"id":"https://openalex.org/keywords/chebyshev-pseudospectral-method","display_name":"Chebyshev pseudospectral method","score":0.44321632385253906},{"id":"https://openalex.org/keywords/classification-of-discontinuities","display_name":"Classification of discontinuities","score":0.44046175479888916},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4365054666996002},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4338280260562897},{"id":"https://openalex.org/keywords/chebyshev-iteration","display_name":"Chebyshev iteration","score":0.42557424306869507},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.4206467866897583},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.42003333568573},{"id":"https://openalex.org/keywords/chebyshev-filter","display_name":"Chebyshev filter","score":0.4196040630340576},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40961581468582153},{"id":"https://openalex.org/keywords/chebyshev-equation","display_name":"Chebyshev equation","score":0.2802184224128723},{"id":"https://openalex.org/keywords/pseudo-spectral-method","display_name":"Pseudo-spectral method","score":0.17253819108009338},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14509108662605286},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.11971572041511536}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8087040185928345},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.7018066644668579},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5919710993766785},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5084361433982849},{"id":"https://openalex.org/C154304650","wikidata":"https://www.wikidata.org/wiki/Q7255577","display_name":"Pseudospectral optimal control","level":5,"score":0.5063406229019165},{"id":"https://openalex.org/C171326582","wikidata":"https://www.wikidata.org/wiki/Q1052508","display_name":"Chebyshev nodes","level":3,"score":0.48374390602111816},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.4716975688934326},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.45808684825897217},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.45056501030921936},{"id":"https://openalex.org/C122107654","wikidata":"https://www.wikidata.org/wiki/Q5089017","display_name":"Chebyshev pseudospectral method","level":5,"score":0.44321632385253906},{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.44046175479888916},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4365054666996002},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4338280260562897},{"id":"https://openalex.org/C196512905","wikidata":"https://www.wikidata.org/wiki/Q2457511","display_name":"Chebyshev iteration","level":3,"score":0.42557424306869507},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.4206467866897583},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.42003333568573},{"id":"https://openalex.org/C21424316","wikidata":"https://www.wikidata.org/wiki/Q718621","display_name":"Chebyshev filter","level":2,"score":0.4196040630340576},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40961581468582153},{"id":"https://openalex.org/C142484921","wikidata":"https://www.wikidata.org/wiki/Q3890369","display_name":"Chebyshev equation","level":4,"score":0.2802184224128723},{"id":"https://openalex.org/C177937620","wikidata":"https://www.wikidata.org/wiki/Q7254447","display_name":"Pseudo-spectral method","level":4,"score":0.17253819108009338},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14509108662605286},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.11971572041511536},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"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/C21736991","wikidata":"https://www.wikidata.org/wiki/Q17006917","display_name":"Classical orthogonal polynomials","level":3,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1018694111831","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1018694111831","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1668068306","https://openalex.org/W1970721947","https://openalex.org/W1983871555","https://openalex.org/W1997283008","https://openalex.org/W2000226979","https://openalex.org/W2003669963","https://openalex.org/W2007346377","https://openalex.org/W2013981360","https://openalex.org/W2028474219","https://openalex.org/W2031947654","https://openalex.org/W2033847478","https://openalex.org/W2059500103","https://openalex.org/W2085518387","https://openalex.org/W2113706446","https://openalex.org/W2129022762","https://openalex.org/W2131778920","https://openalex.org/W2153425320","https://openalex.org/W2168560639","https://openalex.org/W2173156355","https://openalex.org/W2314359380","https://openalex.org/W2332778979","https://openalex.org/W2408478130","https://openalex.org/W2798500587","https://openalex.org/W4298060601","https://openalex.org/W6702356703"],"related_works":["https://openalex.org/W2078380578","https://openalex.org/W2027623489","https://openalex.org/W2092508320","https://openalex.org/W2348380036","https://openalex.org/W2601633342","https://openalex.org/W2039062045","https://openalex.org/W3081390714","https://openalex.org/W2102461556","https://openalex.org/W2074316639","https://openalex.org/W2388339664"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":11},{"year":2020,"cited_by_count":11},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":9},{"year":2016,"cited_by_count":10},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":11}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}