{"id":"https://openalex.org/W1997963279","doi":"https://doi.org/10.1155/2014/683797","title":"On the Solution of a Nonlinear Semidefinite Program Arising in Discrete-Time Feedback Control Design","display_name":"On the Solution of a Nonlinear Semidefinite Program Arising in Discrete-Time Feedback Control Design","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W1997963279","doi":"https://doi.org/10.1155/2014/683797","mag":"1997963279"},"language":"en","primary_location":{"id":"doi:10.1155/2014/683797","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/683797","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/683797.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2014/683797.pdf","any_repository_has_fulltext":true},"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 M. E. Mostafa","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Alexandria University, Moharam Bey, Alexandria 21511, Egypt"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Alexandria University, Moharam Bey, Alexandria 21511, 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":1130,"currency":"USD","value_usd":1130},"apc_paid":{"value":1130,"currency":"USD","value_usd":1130},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08609094,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2014","issue":null,"first_page":"1","last_page":"14"},"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":0.9997000098228455,"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/T11236","display_name":"Control Systems and Identification","score":0.9987000226974487,"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/semidefinite-programming","display_name":"Semidefinite programming","score":0.8380169868469238},{"id":"https://openalex.org/keywords/quadratically-constrained-quadratic-program","display_name":"Quadratically constrained quadratic program","score":0.710830807685852},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.7104184031486511},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5747898817062378},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.5541434288024902},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.5431472659111023},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5197269916534424},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4976561367511749},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4733070135116577},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.44998854398727417},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4498178958892822},{"id":"https://openalex.org/keywords/sequential-quadratic-programming","display_name":"Sequential quadratic programming","score":0.42847371101379395}],"concepts":[{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.8380169868469238},{"id":"https://openalex.org/C65148998","wikidata":"https://www.wikidata.org/wiki/Q7268373","display_name":"Quadratically constrained quadratic program","level":3,"score":0.710830807685852},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.7104184031486511},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5747898817062378},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.5541434288024902},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.5431472659111023},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5197269916534424},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4976561367511749},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4733070135116577},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.44998854398727417},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4498178958892822},{"id":"https://openalex.org/C198927703","wikidata":"https://www.wikidata.org/wiki/Q4373881","display_name":"Sequential quadratic programming","level":3,"score":0.42847371101379395},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"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/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","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}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2014/683797","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/683797","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/683797.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1395855266","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1395855266","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:683797","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2014/683797.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:880e60e1b81b469e8fb314e6bed0a1a1","is_oa":true,"landing_page_url":"https://doaj.org/article/880e60e1b81b469e8fb314e6bed0a1a1","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2014 (2014)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2014/683797","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/683797","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/683797.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1997963279.pdf","grobid_xml":"https://content.openalex.org/works/W1997963279.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W163112968","https://openalex.org/W1967969202","https://openalex.org/W1979381096","https://openalex.org/W1985412317","https://openalex.org/W1986468691","https://openalex.org/W1995439802","https://openalex.org/W1998527247","https://openalex.org/W2004209776","https://openalex.org/W2044050638","https://openalex.org/W2056024378","https://openalex.org/W2056241376","https://openalex.org/W2087228044","https://openalex.org/W2092473536","https://openalex.org/W2094921015","https://openalex.org/W2128509816","https://openalex.org/W2141960540","https://openalex.org/W2145546299","https://openalex.org/W2149223262","https://openalex.org/W2161367843","https://openalex.org/W2167842052","https://openalex.org/W2224084562","https://openalex.org/W3029645440","https://openalex.org/W3144040074","https://openalex.org/W4293775970"],"related_works":["https://openalex.org/W2352839224","https://openalex.org/W1989828432","https://openalex.org/W2371590971","https://openalex.org/W1653317167","https://openalex.org/W4231448069","https://openalex.org/W2203098598","https://openalex.org/W4206704743","https://openalex.org/W4307933212","https://openalex.org/W2176810217","https://openalex.org/W37880458"],"abstract_inverted_index":{"A":[0],"sequential":[1],"quadratic":[2],"programming":[3,21],"method":[4,31,54],"with":[5,37],"line":[6],"search":[7],"is":[8,55],"analyzed":[9],"and":[10],"studied":[11],"for":[12],"finding":[13],"the":[14,25,46,64],"local":[15],"solution":[16],"of":[17],"a":[18],"nonlinear":[19],"semidefinite":[20],"problem":[22,48],"resulting":[23],"from":[24,63],"discrete-time":[26],"output":[27],"feedback":[28],"problem.":[29],"The":[30,53],"requires":[32],"an":[33],"initial":[34],"feasible":[35],"point":[36],"respect":[38],"to":[39],"two":[40],"positive":[41],"definite":[42],"constraints.":[43],"By":[44],"parameterizing":[45],"optimization":[47],"we":[49],"ease":[50],"that":[51],"requirement.":[52],"tested":[56],"numerically":[57],"on":[58],"several":[59],"test":[60],"problems":[61],"chosen":[62],"benchmark":[65],"collection":[66],"(Leibfritz,":[67],"2004).":[68]},"counts_by_year":[],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
