{"id":"https://openalex.org/W1998527247","doi":"https://doi.org/10.2478/v10006-012-0026-5","title":"An SQP trust region method for solving the discrete-time linear quadratic control problem","display_name":"An SQP trust region method for solving the discrete-time linear quadratic control problem","publication_year":2012,"publication_date":"2012-06-01","ids":{"openalex":"https://openalex.org/W1998527247","doi":"https://doi.org/10.2478/v10006-012-0026-5","mag":"1998527247"},"language":"en","primary_location":{"id":"doi:10.2478/v10006-012-0026-5","is_oa":true,"landing_page_url":"https://doi.org/10.2478/v10006-012-0026-5","pdf_url":"https://sciendo.com/pdf/10.2478/v10006-012-0026-5","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://sciendo.com/pdf/10.2478/v10006-012-0026-5","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004832749","display_name":"El\u2013Sayed M. E. Mostafa","orcid":"https://orcid.org/0000-0002-2592-7246"},"institutions":[{"id":"https://openalex.org/I84524832","display_name":"Alexandria University","ror":"https://ror.org/00mzz1w90","country_code":"EG","type":"education","lineage":["https://openalex.org/I84524832"]}],"countries":["EG"],"is_corresponding":true,"raw_author_name":"El-Sayed Mostafa","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Alexandria University, Moharam Bey, 21511, Alexandria, Egypt"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Alexandria University, Moharam Bey, 21511, Alexandria, Egypt","institution_ids":["https://openalex.org/I84524832"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5004832749"],"corresponding_institution_ids":["https://openalex.org/I84524832"],"apc_list":{"value":4080,"currency":"PLN","value_usd":1100},"apc_paid":{"value":4080,"currency":"PLN","value_usd":1100},"fwci":0.5682,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.72614051,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"22","issue":"2","first_page":"353","last_page":"363"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9998999834060669,"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":0.9998999834060669,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9994999766349792,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9976999759674072,"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/sequential-quadratic-programming","display_name":"Sequential quadratic programming","score":0.9137802124023438},{"id":"https://openalex.org/keywords/trust-region","display_name":"Trust region","score":0.688744306564331},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.6500803232192993},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6392686367034912},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5649471879005432},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5311157703399658},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.49747899174690247},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.46486788988113403},{"id":"https://openalex.org/keywords/parametrization","display_name":"Parametrization (atmospheric modeling)","score":0.45077797770500183},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.42565232515335083},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.376811683177948},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3558245301246643}],"concepts":[{"id":"https://openalex.org/C198927703","wikidata":"https://www.wikidata.org/wiki/Q4373881","display_name":"Sequential quadratic programming","level":3,"score":0.9137802124023438},{"id":"https://openalex.org/C89109886","wikidata":"https://www.wikidata.org/wiki/Q1535924","display_name":"Trust region","level":3,"score":0.688744306564331},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.6500803232192993},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6392686367034912},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5649471879005432},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5311157703399658},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.49747899174690247},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.46486788988113403},{"id":"https://openalex.org/C202887219","wikidata":"https://www.wikidata.org/wiki/Q3895221","display_name":"Parametrization (atmospheric modeling)","level":3,"score":0.45077797770500183},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.42565232515335083},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.376811683177948},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3558245301246643},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.2478/v10006-012-0026-5","is_oa":true,"landing_page_url":"https://doi.org/10.2478/v10006-012-0026-5","pdf_url":"https://sciendo.com/pdf/10.2478/v10006-012-0026-5","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.390.9762","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.390.9762","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://matwbn.icm.edu.pl/ksiazki/amc/amc22/amc2229.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.911.1006","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.911.1006","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.baztech-article-BPZ7-0001-0026/c/Mostafa.pdf","raw_type":"text"},{"id":"pmh:oai:zbc.uz.zgora.pl:46986","is_oa":false,"landing_page_url":"https://zbc.uz.zgora.pl/dlibra/docmetadata?showContent=true&id=46986","pdf_url":null,"source":{"id":"https://openalex.org/S4306400400","display_name":"Digital library of Zielona Gora (University of Zielona G\u00f3ra)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I46305939","host_organization_name":"University of Zielona G\u00f3ra","host_organization_lineage":["https://openalex.org/I46305939"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://www.amcs.uz.zgora.pl/?action=paper&paper=617","raw_type":"artyku\u0142"}],"best_oa_location":{"id":"doi:10.2478/v10006-012-0026-5","is_oa":true,"landing_page_url":"https://doi.org/10.2478/v10006-012-0026-5","pdf_url":"https://sciendo.com/pdf/10.2478/v10006-012-0026-5","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Partnerships for the goals","id":"https://metadata.un.org/sdg/17","score":0.46000000834465027}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1998527247.pdf","grobid_xml":"https://content.openalex.org/works/W1998527247.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W147998453","https://openalex.org/W163112968","https://openalex.org/W1884597428","https://openalex.org/W1967969202","https://openalex.org/W1979381096","https://openalex.org/W1985412317","https://openalex.org/W1995439802","https://openalex.org/W2081640991","https://openalex.org/W2087228044","https://openalex.org/W2094921015","https://openalex.org/W2141960540","https://openalex.org/W2145546299","https://openalex.org/W2148646412","https://openalex.org/W2159459252","https://openalex.org/W2161367843","https://openalex.org/W2163594033","https://openalex.org/W2167842052","https://openalex.org/W3029645440","https://openalex.org/W3144040074","https://openalex.org/W4246613564","https://openalex.org/W4293775970"],"related_works":["https://openalex.org/W1555927645","https://openalex.org/W1548320777","https://openalex.org/W4206704743","https://openalex.org/W2119283772","https://openalex.org/W436931041","https://openalex.org/W2098918699","https://openalex.org/W1495847109","https://openalex.org/W2019128690","https://openalex.org/W1998477935","https://openalex.org/W2390817143"],"abstract_inverted_index":{"An":[0],"SQP":[1,86],"trust":[2,24,87],"region":[3,25,88],"method":[4,20],"for":[5,32,55],"solving":[6,33],"the":[7,49,84,92,95],"discrete-time":[8,56],"linear":[9,51],"quadratic":[10,18,52],"control":[11,53],"problem":[12,39,45,54],"In":[13],"this":[14],"paper,":[15],"a":[16,23,34,59,69,79],"sequential":[17],"programming":[19],"combined":[21],"with":[22,40],"globalization":[26],"strategy":[27],"is":[28,46,65,72],"analyzed":[29],"and":[30],"studied":[31],"certain":[35],"nonlinear":[36],"constrained":[37],"optimization":[38,44],"matrix":[41],"variables.":[42],"The":[43],"derived":[47],"from":[48],"infinite-horizon":[50],"systems":[57],"when":[58],"complete":[60],"set":[61],"of":[62,94],"state":[63],"variables":[64],"not":[66,76],"available.":[67],"Moreover,":[68],"parametrization":[70],"approach":[71],"introduced":[73],"that":[74],"does":[75],"require":[77],"starting":[78],"feasible":[80],"solution":[81],"to":[82],"initiate":[83],"proposed":[85],"method.":[89],"To":[90],"demonstrate":[91],"effectiveness":[93],"method,":[96],"some":[97],"numerical":[98],"results":[99],"are":[100],"presented":[101],"in":[102],"detail.":[103]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}