{"id":"https://openalex.org/W4412431572","doi":"https://doi.org/10.1109/med64031.2025.11073332","title":"Regional optimal control problem for semilinear parabolic systems with boundary controls","display_name":"Regional optimal control problem for semilinear parabolic systems with boundary controls","publication_year":2025,"publication_date":"2025-06-10","ids":{"openalex":"https://openalex.org/W4412431572","doi":"https://doi.org/10.1109/med64031.2025.11073332"},"language":"en","primary_location":{"id":"doi:10.1109/med64031.2025.11073332","is_oa":false,"landing_page_url":"https://doi.org/10.1109/med64031.2025.11073332","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 33rd Mediterranean Conference on Control and Automation (MED)","raw_type":"proceedings-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/A5064488559","display_name":"Mohamed Ouhafsa","orcid":null},"institutions":[{"id":"https://openalex.org/I4210153608","display_name":"Universit\u00e9 Moulay Ismail de Meknes","ror":"https://ror.org/04cnscd67","country_code":"MA","type":"education","lineage":["https://openalex.org/I4210153608"]}],"countries":["MA"],"is_corresponding":true,"raw_author_name":"Mohamed Ouhafsa","raw_affiliation_strings":["University Moulay Ismail,MACS Team, Faculty of Sciences,Meknes,Morocco"],"affiliations":[{"raw_affiliation_string":"University Moulay Ismail,MACS Team, Faculty of Sciences,Meknes,Morocco","institution_ids":["https://openalex.org/I4210153608"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050218070","display_name":"El Hassan Zerrik","orcid":"https://orcid.org/0000-0002-7677-8308"},"institutions":[{"id":"https://openalex.org/I4210153608","display_name":"Universit\u00e9 Moulay Ismail de Meknes","ror":"https://ror.org/04cnscd67","country_code":"MA","type":"education","lineage":["https://openalex.org/I4210153608"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"El Hassan Zerrik","raw_affiliation_strings":["University Moulay Ismail,MACS Team, Faculty of Sciences,Meknes,Morocco"],"affiliations":[{"raw_affiliation_string":"University Moulay Ismail,MACS Team, Faculty of Sciences,Meknes,Morocco","institution_ids":["https://openalex.org/I4210153608"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023277775","display_name":"Abderrahman Ait Aadi","orcid":"https://orcid.org/0000-0002-8032-1941"},"institutions":[{"id":"https://openalex.org/I4210153608","display_name":"Universit\u00e9 Moulay Ismail de Meknes","ror":"https://ror.org/04cnscd67","country_code":"MA","type":"education","lineage":["https://openalex.org/I4210153608"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Abderrahman Ait Aadi","raw_affiliation_strings":["University Moulay Ismail,Hight Normal School,Department of Sciences,Meknes,Morocco"],"affiliations":[{"raw_affiliation_string":"University Moulay Ismail,Hight Normal School,Department of Sciences,Meknes,Morocco","institution_ids":["https://openalex.org/I4210153608"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5064488559"],"corresponding_institution_ids":["https://openalex.org/I4210153608"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.24833459,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"571","last_page":"576"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9943000078201294,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9943000078201294,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.993399977684021,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9926000237464905,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.6429775357246399},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5820266604423523},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.5741446018218994},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5020854473114014},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4129406809806824},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41094279289245605},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38699692487716675},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3825083374977112},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.28295737504959106},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0732763409614563}],"concepts":[{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6429775357246399},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5820266604423523},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.5741446018218994},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5020854473114014},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4129406809806824},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41094279289245605},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38699692487716675},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3825083374977112},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.28295737504959106},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0732763409614563}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/med64031.2025.11073332","is_oa":false,"landing_page_url":"https://doi.org/10.1109/med64031.2025.11073332","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 33rd Mediterranean Conference on Control and Automation (MED)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W121328656","https://openalex.org/W1820125862","https://openalex.org/W1967967021","https://openalex.org/W1969853089","https://openalex.org/W2043841940","https://openalex.org/W2049482433","https://openalex.org/W2066120048","https://openalex.org/W2109168354","https://openalex.org/W2158567645","https://openalex.org/W2883187735","https://openalex.org/W3092919521","https://openalex.org/W4245284144","https://openalex.org/W4302819252","https://openalex.org/W4390637616"],"related_works":["https://openalex.org/W1892002403","https://openalex.org/W4309005041","https://openalex.org/W2962746246","https://openalex.org/W1989531755","https://openalex.org/W1967384683","https://openalex.org/W2892237068","https://openalex.org/W1901119619","https://openalex.org/W2058275692","https://openalex.org/W2133690079","https://openalex.org/W2086351220"],"abstract_inverted_index":{"This":[0],"work":[1],"concentrates":[2],"on":[3,50,54],"the":[4,41,52,61,65,72,77,84,90,101,109,117],"regional":[5],"optimal":[6,95],"control":[7,34,96],"problem":[8],"for":[9,112],"a":[10,16,29,32,36,55,93,120],"semilinear":[11,37],"parabolic":[12],"system":[13,25],"defined":[14],"over":[15,76],"spatial":[17],"domain":[18],"\u03a9":[19,59],"\u2282":[20],"\u211d<sup":[21],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[22],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</sup>.":[23],"The":[24],"is":[26,134,142],"driven":[27],"by":[28],"multiplcation":[30],"of":[31,44,58,92,103,119,130],"time":[33,69,78],"and":[35,64,83,97,139],"state":[38,63],"function":[39],"at":[40,68],"boundary":[42,94],"\u2202\u03a9":[43],"\u03a9.":[45],"And":[46],"then,":[47],"it":[48,99],"focuses":[49],"minimizing":[51],"deviation":[53],"subregion":[56],"\u03c9":[57],"between":[60],"desired":[62],"final":[66],"one":[67],"T":[70,81],",":[71],"tracking":[73],"term":[74,85],"all":[75],"interval":[79],"[0,":[80],"]":[82],"energy.":[86],"Next,":[87],"we":[88,124],"demonstrate":[89],"existence":[91],"characterize":[98],"as":[100],"solution":[102],"an":[104],"associated":[105],"optimality":[106,113],"system.":[107],"Moreover,":[108],"necessary":[110],"conditions":[111],"are":[114],"expressed":[115],"in":[116],"form":[118],"variational":[121],"inequality.":[122],"Additionally,":[123],"explore":[125],"applications":[126],"to":[127],"different":[128],"sets":[129],"controls.":[131],"An":[132],"algorithm":[133],"derived":[135],"from":[136],"this":[137],"approach":[138],"its":[140],"performance":[141],"demonstrated":[143],"using":[144],"numerical":[145],"simulations.":[146]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}