{"id":"https://openalex.org/W1991236636","doi":"https://doi.org/10.1177/1077546313511843","title":"A modified control parametrization method for the numerical solution of bang\u2013bang optimal control problems","display_name":"A modified control parametrization method for the numerical solution of bang\u2013bang optimal control problems","publication_year":2013,"publication_date":"2013-11-18","ids":{"openalex":"https://openalex.org/W1991236636","doi":"https://doi.org/10.1177/1077546313511843","mag":"1991236636"},"language":"en","primary_location":{"id":"doi:10.1177/1077546313511843","doi":"https://doi.org/10.1177/1077546313511843","is_oa":false,"landing_page_url":"https://doi.org/10.1177/1077546313511843","pdf_url":null,"source":{"id":"https://openalex.org/S187175751","display_name":"Journal of Vibration and Control","issn_l":"1077-5463","issn":["1077-5463","1741-2986"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Vibration and Control","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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","observed_orcids":["https://orcid.org/0000-0001-9598-4943"]},"institutions":[{"id":"https://openalex.org/I158248296","display_name":"Amirkabir University of Technology","ror":"https://ror.org/04gzbav43","country_code":"IR","type":"education","lineage":["https://openalex.org/I158248296"]},{"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":false,"raw_author_name":"Mohammad Ali Mehrpouya","raw_affiliation_strings":["Department of Applied Mathematics, Amirkabir University of Technology, Iran","Department of Mathematics, University of Tafresh, Iran","1Department of Applied Mathematics, Amirkabir University of Technology, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Amirkabir University of Technology, Iran","institution_ids":["https://openalex.org/I158248296"]},{"raw_affiliation_string":"Department of Mathematics, University of Tafresh, Iran","institution_ids":["https://openalex.org/I9570713"]},{"raw_affiliation_string":"1Department of Applied Mathematics, Amirkabir University of Technology, Iran","institution_ids":["https://openalex.org/I158248296"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043463823","display_name":"Shirin Fallahi","orcid":"https://orcid.org/0000-0002-9867-5596","observed_orcids":["https://orcid.org/0000-0002-9867-5596"]},"institutions":[{"id":"https://openalex.org/I158248296","display_name":"Amirkabir University of Technology","ror":"https://ror.org/04gzbav43","country_code":"IR","type":"education","lineage":["https://openalex.org/I158248296"]},{"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":false,"raw_author_name":"Shirin Fallahi","raw_affiliation_strings":["Department of Applied Mathematics, Amirkabir University of Technology, Iran","Department of Mathematics, University of Tafresh, Iran","1Department of Applied Mathematics, Amirkabir University of Technology, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Amirkabir University of Technology, Iran","institution_ids":["https://openalex.org/I158248296"]},{"raw_affiliation_string":"Department of Mathematics, University of Tafresh, Iran","institution_ids":["https://openalex.org/I9570713"]},{"raw_affiliation_string":"1Department of Applied Mathematics, Amirkabir University of Technology, Iran","institution_ids":["https://openalex.org/I158248296"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":4400,"currency":"USD","value_usd":4400},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.12909796,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":"21","issue":"12","first_page":"2407","last_page":"2415"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.8560000061988831,"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":0.8560000061988831,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.05820000171661377,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.042100001126527786,"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/control-parametrization","display_name":"control parametrization","score":0.9950000047683716},{"id":"https://openalex.org/keywords/switching-points","display_name":"switching points","score":0.828000009059906},{"id":"https://openalex.org/keywords/piecewise-constant-control","display_name":"piecewise constant control","score":0.8690000176429749},{"id":"https://openalex.org/keywords/mathematical-programming","display_name":"mathematical programming","score":0.5210000276565552},{"id":"https://openalex.org/keywords/numerical-solution-of-optimal-control-problems","display_name":"numerical solution of optimal control problems","score":0.6399999856948853}],"concepts":[{"id":"https://openalex.org/C175287345","wikidata":"https://www.wikidata.org/wiki/Q1432859","display_name":"Bang\u2013bang control","level":3,"score":0.827279806137085},{"id":"https://openalex.org/C202887219","wikidata":"https://www.wikidata.org/wiki/Q3895221","display_name":"Parametrization (atmospheric modeling)","level":3,"score":0.8135334253311157},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.7272109985351562},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.7086061239242554},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6152675747871399},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.553919792175293},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.5412916541099548},{"id":"https://openalex.org/C153240184","wikidata":"https://www.wikidata.org/wiki/Q3243772","display_name":"Control variable","level":2,"score":0.4192192554473877},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.397023469209671},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34872204065322876},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.347040593624115},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09769964218139648},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C74902906","wikidata":"https://www.wikidata.org/wiki/Q1190858","display_name":"Radiative transfer","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1177/1077546313511843","doi":"https://doi.org/10.1177/1077546313511843","is_oa":false,"landing_page_url":"https://doi.org/10.1177/1077546313511843","pdf_url":null,"source":{"id":"https://openalex.org/S187175751","display_name":"Journal of Vibration and Control","issn_l":"1077-5463","issn":["1077-5463","1741-2986"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Vibration and Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W266470921","https://openalex.org/W357843092","https://openalex.org/W575909428","https://openalex.org/W1591476741","https://openalex.org/W1901119619","https://openalex.org/W1987835089","https://openalex.org/W1989038783","https://openalex.org/W1991533018","https://openalex.org/W1991977833","https://openalex.org/W2021762091","https://openalex.org/W2026446283","https://openalex.org/W2031220758","https://openalex.org/W2035542416","https://openalex.org/W2035670438","https://openalex.org/W2039522564","https://openalex.org/W2047024927","https://openalex.org/W2056261501","https://openalex.org/W2079127489","https://openalex.org/W2087599797","https://openalex.org/W2091039612","https://openalex.org/W2131831389","https://openalex.org/W2135832300","https://openalex.org/W2141004473","https://openalex.org/W2144086784","https://openalex.org/W2162000525","https://openalex.org/W2486204047","https://openalex.org/W4230466265","https://openalex.org/W4236400251"],"related_works":["https://openalex.org/W4233864422","https://openalex.org/W3009678219","https://openalex.org/W2135832300","https://openalex.org/W1994132201","https://openalex.org/W2033028018","https://openalex.org/W2236234494","https://openalex.org/W57724291","https://openalex.org/W1965487342","https://openalex.org/W2077750723","https://openalex.org/W845119977"],"abstract_inverted_index":{"In":[0,38],"the":[1,9,28,59,81,92,112,115,124,127],"present":[2,82],"paper,":[3],"an":[4,101],"efficient":[5],"computational":[6],"method":[7,19,83,128],"for":[8,31],"solution":[10,33],"of":[11,34,80,105,114,126],"bang\u2013bang":[12],"optimal":[13,35],"control":[14,23,36,41],"problems":[15],"is":[16,20,61,129],"investigated.":[17],"The":[18,77],"based":[21],"on":[22],"parametrization":[24],"and":[25,51,91,99,123],"belongs":[26],"to":[27,45],"direct":[29],"methods":[30],"numerical":[32],"problems.":[37],"this":[39],"method,":[40],"functions":[42],"are":[43,84,118],"considered":[44],"be":[46,70,96,109],"piecewise":[47],"constant":[48],"with":[49],"values":[50],"switching":[52,93,106],"points":[53,94,107],"taken":[54],"as":[55],"decision":[56],"variables.":[57],"Thereby,":[58],"problem":[60,67],"converted":[62],"into":[63],"a":[64],"mathematical":[65],"programming":[66],"which":[68],"can":[69,95,108],"solved":[71],"by":[72,111],"well-developed":[73],"parameter":[74],"optimization":[75],"algorithms.":[76],"main":[78],"advantages":[79],"that:":[85],"(i)":[86],"it":[87],"obtains":[88],"good":[89],"results":[90,113],"captured":[97],"accurately;":[98],"(ii)":[100],"incorrectly":[102],"guessed":[103],"number":[104],"detected":[110],"method.":[116],"These":[117],"illustrated":[119],"through":[120],"three":[121],"examples":[122],"efficiency":[125],"reported.":[130]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":3}],"updated_date":"2026-09-26T08:19:03.415552","created_date":"2016-06-24T00:00:00"}
