{"id":"https://openalex.org/W2927592627","doi":"https://doi.org/10.1155/2019/9596253","title":"Hybrid Functions Direct Approach and State Feedback Optimal Solutions for a Class of Nonlinear Polynomial Time Delay Systems","display_name":"Hybrid Functions Direct Approach and State Feedback Optimal Solutions for a Class of Nonlinear Polynomial Time Delay Systems","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2927592627","doi":"https://doi.org/10.1155/2019/9596253","mag":"2927592627"},"language":"en","primary_location":{"id":"doi:10.1155/2019/9596253","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2019/9596253","pdf_url":"https://downloads.hindawi.com/journals/complexity/2019/9596253.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"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"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","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/complexity/2019/9596253.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5088442366","display_name":"Mohamed Karim Bouafoura","orcid":"https://orcid.org/0000-0002-1748-2873"},"institutions":[{"id":"https://openalex.org/I2800887215","display_name":"Tunisia Polytechnic School","ror":"https://ror.org/00dse3307","country_code":"TN","type":"education","lineage":["https://openalex.org/I2800887215"]}],"countries":["TN"],"is_corresponding":true,"raw_author_name":"Mohamed Karim Bouafoura","raw_affiliation_strings":["Ecole Polytechnique de Tunisie, BP 743, La Marsa, Tunisia","Ecole Polytechnique de Tunisie, BP 743, La Marsa"],"affiliations":[{"raw_affiliation_string":"Ecole Polytechnique de Tunisie, BP 743, La Marsa, Tunisia","institution_ids":["https://openalex.org/I2800887215"]},{"raw_affiliation_string":"Ecole Polytechnique de Tunisie, BP 743, La Marsa","institution_ids":["https://openalex.org/I2800887215"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036761171","display_name":"Naceur Benhadj Bra\u00efek","orcid":"https://orcid.org/0000-0002-1317-9869"},"institutions":[{"id":"https://openalex.org/I2800887215","display_name":"Tunisia Polytechnic School","ror":"https://ror.org/00dse3307","country_code":"TN","type":"education","lineage":["https://openalex.org/I2800887215"]}],"countries":["TN"],"is_corresponding":false,"raw_author_name":"Naceur Benhadj Braiek","raw_affiliation_strings":["Ecole Polytechnique de Tunisie, BP 743, La Marsa, Tunisia","Ecole Polytechnique de Tunisie, BP 743, La Marsa"],"affiliations":[{"raw_affiliation_string":"Ecole Polytechnique de Tunisie, BP 743, La Marsa, Tunisia","institution_ids":["https://openalex.org/I2800887215"]},{"raw_affiliation_string":"Ecole Polytechnique de Tunisie, BP 743, La Marsa","institution_ids":["https://openalex.org/I2800887215"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5088442366"],"corresponding_institution_ids":["https://openalex.org/I2800887215"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":1.0108,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.76082504,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"2019","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9995999932289124,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9995999932289124,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9973000288009644,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9947999715805054,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7550204992294312},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.7396707534790039},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6418164372444153},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5901394486427307},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5624454617500305},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44835880398750305},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41517576575279236},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4043900668621063},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.16164979338645935},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.10072579979896545},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0912986695766449},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08690735697746277},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05145856738090515}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7550204992294312},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.7396707534790039},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6418164372444153},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5901394486427307},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5624454617500305},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44835880398750305},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41517576575279236},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4043900668621063},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.16164979338645935},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.10072579979896545},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0912986695766449},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08690735697746277},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05145856738090515},{"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:10.1155/2019/9596253","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2019/9596253","pdf_url":"https://downloads.hindawi.com/journals/complexity/2019/9596253.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"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"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:complx:9596253","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/8503/2019/9596253.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:4f60fd7b7d914a91896f05caa009b43c","is_oa":true,"landing_page_url":"https://doaj.org/article/4f60fd7b7d914a91896f05caa009b43c","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complexity, Vol 2019 (2019)","raw_type":"article"},{"id":"pmh:oai:hindawi.com:10.1155/2019/9596253","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/9596253","pdf_url":null,"source":{"id":"https://openalex.org/S4306400340","display_name":"Hindawi Journal of Chemistry (Hindawi)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210126990","host_organization_name":"Hindawi (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210126990"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Research Article"}],"best_oa_location":{"id":"doi:10.1155/2019/9596253","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2019/9596253","pdf_url":"https://downloads.hindawi.com/journals/complexity/2019/9596253.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"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"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2927592627.pdf","grobid_xml":"https://content.openalex.org/works/W2927592627.grobid-xml"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W1045272657","https://openalex.org/W1571964332","https://openalex.org/W1770734613","https://openalex.org/W1967416910","https://openalex.org/W1968797627","https://openalex.org/W2010889814","https://openalex.org/W2023340674","https://openalex.org/W2025299547","https://openalex.org/W2047242761","https://openalex.org/W2062682681","https://openalex.org/W2068561505","https://openalex.org/W2072761778","https://openalex.org/W2082256594","https://openalex.org/W2095590702","https://openalex.org/W2105369742","https://openalex.org/W2113133070","https://openalex.org/W2120828274","https://openalex.org/W2141065715","https://openalex.org/W2171265162","https://openalex.org/W2339398450","https://openalex.org/W2345130507","https://openalex.org/W2575547724","https://openalex.org/W2577195277","https://openalex.org/W2737755290","https://openalex.org/W2742379019","https://openalex.org/W2771900456","https://openalex.org/W2795578832","https://openalex.org/W2802227787","https://openalex.org/W2886948566","https://openalex.org/W4234415898"],"related_works":["https://openalex.org/W2154204858","https://openalex.org/W3209622820","https://openalex.org/W2382250648","https://openalex.org/W2367363545","https://openalex.org/W2586383879","https://openalex.org/W2067895158","https://openalex.org/W4379507409","https://openalex.org/W2066331732","https://openalex.org/W2998030147","https://openalex.org/W91521151"],"abstract_inverted_index":{"The":[0,30],"aim":[1],"of":[2,24,36,65,68,117],"this":[3],"paper":[4],"is":[5,59],"to":[6,77,100],"determine":[7],"the":[8,54,63,69,107,118],"optimal":[9,108,121],"open":[10,109],"loop":[11,110],"solution":[12],"and":[13,40,50,72],"a":[14,22,34,78,101],"nonlinear":[15,25,79,92],"delay\u2010dependent":[16],"state":[17],"feedback":[18,93],"suboptimal":[19],"control":[20,111],"for":[21,47],"class":[23],"polynomial":[26],"time":[27],"delay":[28],"systems.":[29],"proposed":[31,119],"method":[32],"uses":[33],"hybrid":[35,70],"block":[37],"pulse":[38],"functions":[39],"Legendre":[41],"polynomials":[42],"as":[43],"an":[44],"orthogonal":[45],"base":[46],"system\u2019s":[48],"states":[49],"input":[51],"expansion.":[52],"Hence,":[53],"complex":[55],"dynamic":[56],"optimization":[57],"problem":[58,81],"then":[60],"reduced,":[61],"with":[62,86,98],"help":[64],"operational":[66],"properties":[67],"basis":[71],"Kronecker":[73],"tensor":[74],"product":[75],"lemmas,":[76],"programming":[80],"that":[82],"could":[83],"be":[84],"solved":[85],"available":[87],"NLP":[88],"solvers.":[89],"A":[90],"practical":[91],"controller":[94],"gains":[95],"are":[96],"deduced":[97],"respect":[99],"least":[102],"square":[103],"formalism":[104],"based":[105],"on":[106],"results.":[112],"Simulation":[113],"results":[114],"show":[115],"efficiency":[116],"numerical":[120],"approach.":[122]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
