{"id":"https://openalex.org/W3047954489","doi":"https://doi.org/10.1080/00207160.2020.1807521","title":"A robust pseudospectral method for numerical solution of nonlinear optimal control problems","display_name":"A robust pseudospectral method for numerical solution of nonlinear optimal control problems","publication_year":2020,"publication_date":"2020-08-10","ids":{"openalex":"https://openalex.org/W3047954489","doi":"https://doi.org/10.1080/00207160.2020.1807521","mag":"3047954489"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2020.1807521","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2020.1807521","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5042166342","display_name":"Mohammad Ali Mehrpouya","orcid":"https://orcid.org/0000-0001-9598-4943"},"institutions":[{"id":"https://openalex.org/I9570713","display_name":"Tafresh University","ror":"https://ror.org/040f6ar92","country_code":"IR","type":"education","lineage":["https://openalex.org/I9570713"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Mohammad Ali Mehrpouya","raw_affiliation_strings":["Department of Mathematics, Tafresh University, Tafresh, Iran"],"raw_orcid":"https://orcid.org/0000-0001-9598-4943","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Tafresh University, Tafresh, Iran","institution_ids":["https://openalex.org/I9570713"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022022325","display_name":"Haijun Peng","orcid":"https://orcid.org/0000-0001-9365-3569"},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haijun Peng","raw_affiliation_strings":["Department of Engineering Mechanics, State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian, People's Republic of China"],"raw_orcid":"https://orcid.org/0000-0001-9365-3569","affiliations":[{"raw_affiliation_string":"Department of Engineering Mechanics, State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian, People's Republic of China","institution_ids":["https://openalex.org/I27357992"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5042166342"],"corresponding_institution_ids":["https://openalex.org/I9570713"],"apc_list":null,"apc_paid":null,"fwci":1.9192,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.85565127,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"98","issue":"6","first_page":"1146","last_page":"1165"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9987999796867371,"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"}},"topics":[{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9987999796867371,"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"}},{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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":0.9980000257492065,"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/pseudospectral-optimal-control","display_name":"Pseudospectral optimal control","score":0.8293852806091309},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7278046607971191},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7243511080741882},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6919091939926147},{"id":"https://openalex.org/keywords/gauss-pseudospectral-method","display_name":"Gauss pseudospectral method","score":0.6736706495285034},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.6533973217010498},{"id":"https://openalex.org/keywords/chebyshev-pseudospectral-method","display_name":"Chebyshev pseudospectral method","score":0.6206422448158264},{"id":"https://openalex.org/keywords/pseudo-spectral-method","display_name":"Pseudo-spectral method","score":0.6194937229156494},{"id":"https://openalex.org/keywords/algebraic-equation","display_name":"Algebraic equation","score":0.6194877028465271},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.484923392534256},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4613623023033142},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.42927655577659607},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.41554027795791626},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1904374659061432}],"concepts":[{"id":"https://openalex.org/C154304650","wikidata":"https://www.wikidata.org/wiki/Q7255577","display_name":"Pseudospectral optimal control","level":5,"score":0.8293852806091309},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7278046607971191},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7243511080741882},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6919091939926147},{"id":"https://openalex.org/C71026131","wikidata":"https://www.wikidata.org/wiki/Q5527825","display_name":"Gauss pseudospectral method","level":5,"score":0.6736706495285034},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6533973217010498},{"id":"https://openalex.org/C122107654","wikidata":"https://www.wikidata.org/wiki/Q5089017","display_name":"Chebyshev pseudospectral method","level":5,"score":0.6206422448158264},{"id":"https://openalex.org/C177937620","wikidata":"https://www.wikidata.org/wiki/Q7254447","display_name":"Pseudo-spectral method","level":4,"score":0.6194937229156494},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.6194877028465271},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.484923392534256},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4613623023033142},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42927655577659607},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.41554027795791626},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1904374659061432},{"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/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"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/C142484921","wikidata":"https://www.wikidata.org/wiki/Q3890369","display_name":"Chebyshev equation","level":4,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2020.1807521","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2020.1807521","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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":56,"referenced_works":["https://openalex.org/W231975775","https://openalex.org/W612879516","https://openalex.org/W615595233","https://openalex.org/W1490180844","https://openalex.org/W1506895582","https://openalex.org/W1528428164","https://openalex.org/W1558122728","https://openalex.org/W1582919213","https://openalex.org/W1587859748","https://openalex.org/W1593505867","https://openalex.org/W1603910097","https://openalex.org/W1971947347","https://openalex.org/W1972643507","https://openalex.org/W1981115560","https://openalex.org/W1981338751","https://openalex.org/W1983611541","https://openalex.org/W2000062047","https://openalex.org/W2016549571","https://openalex.org/W2021762091","https://openalex.org/W2034008227","https://openalex.org/W2039752656","https://openalex.org/W2049772050","https://openalex.org/W2056261501","https://openalex.org/W2056522847","https://openalex.org/W2068484625","https://openalex.org/W2073906166","https://openalex.org/W2087312946","https://openalex.org/W2145800024","https://openalex.org/W2153425320","https://openalex.org/W2154501396","https://openalex.org/W2161623168","https://openalex.org/W2162218551","https://openalex.org/W2188767934","https://openalex.org/W2221321873","https://openalex.org/W2288231337","https://openalex.org/W2441384902","https://openalex.org/W2467903911","https://openalex.org/W2473800515","https://openalex.org/W2489467106","https://openalex.org/W2494951713","https://openalex.org/W2596553520","https://openalex.org/W2603616724","https://openalex.org/W2605243967","https://openalex.org/W2766368846","https://openalex.org/W2766646106","https://openalex.org/W2773034494","https://openalex.org/W2907981832","https://openalex.org/W2918664802","https://openalex.org/W2945928974","https://openalex.org/W3015065605","https://openalex.org/W3098925493","https://openalex.org/W4212963623","https://openalex.org/W4248450792","https://openalex.org/W4298060601","https://openalex.org/W4300831536","https://openalex.org/W4301866048"],"related_works":["https://openalex.org/W2550657075","https://openalex.org/W2281601070","https://openalex.org/W2761671048","https://openalex.org/W2143234151","https://openalex.org/W2354694671","https://openalex.org/W2503830135","https://openalex.org/W2360369146","https://openalex.org/W2027623489","https://openalex.org/W1512809069","https://openalex.org/W2535295778"],"abstract_inverted_index":{"In":[0,19],"the":[1,20,27,31,41,55,70,86,100,116,122],"present":[2],"paper,":[3],"a":[4,50,63,74,81,103],"robust":[5],"pseudospectral":[6,51],"method":[7,52,124],"for":[8,53,84],"efficient":[9],"numerical":[10],"solution":[11],"of":[12,35,65,89,102,109,121],"nonlinear":[13,56,66,90],"optimal":[14,57],"control":[15,58],"problems":[16],"is":[17,60,96],"presented.":[18],"proposed":[21,123],"method,":[22],"at":[23,115],"first,":[24],"based":[25],"on":[26],"Pontryagin's":[28],"minimum":[29],"principle,":[30],"first-order":[32],"necessary":[33],"conditions":[34],"optimality":[36],"which":[37],"are":[38,46,113,125],"led":[39],"to":[40,62,72,80,98],"Hamiltonian":[42],"boundary":[43],"value":[44],"problem":[45,59,83],"derived.":[47],"Then,":[48],"utilizing":[49],"discretization,":[54],"converted":[61],"system":[64,88],"algebraic":[67],"equations.":[68,91],"However,":[69],"need":[71,101],"have":[73],"good":[75,104],"initial":[76,105],"guess":[77],"may":[78],"lead":[79],"challenging":[82],"solving":[85],"obtained":[87],"So,":[92],"an":[93],"optimization":[94],"approach":[95],"introduced":[97],"simplify":[99],"guess.":[106],"Numerical":[107],"findings":[108],"some":[110],"benchmark":[111],"examples":[112],"presented":[114],"end":[117],"and":[118],"computational":[119],"features":[120],"reported.":[126]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2}],"updated_date":"2026-08-15T07:11:24.734988","created_date":"2025-10-10T00:00:00"}
