{"id":"https://openalex.org/W2967628836","doi":"https://doi.org/10.23919/ecc.2019.8796084","title":"Distributed optimal control of degenerate reaction-diffusion equations","display_name":"Distributed optimal control of degenerate reaction-diffusion equations","publication_year":2019,"publication_date":"2019-06-01","ids":{"openalex":"https://openalex.org/W2967628836","doi":"https://doi.org/10.23919/ecc.2019.8796084","mag":"2967628836"},"language":"en","primary_location":{"id":"doi:10.23919/ecc.2019.8796084","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2019.8796084","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 18th European Control Conference (ECC)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5011754373","display_name":"Laura Aquilanti","orcid":null},"institutions":[{"id":"https://openalex.org/I112859197","display_name":"Universit\u00e0 di Camerino","ror":"https://ror.org/0005w8d69","country_code":"IT","type":"education","lineage":["https://openalex.org/I112859197"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Laura Aquilanti","raw_affiliation_strings":["School of Science and Technology - Mathematics Division, University of Camerino, Camerino, MC, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science and Technology - Mathematics Division, University of Camerino, Camerino, MC, Italy","institution_ids":["https://openalex.org/I112859197"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011482531","display_name":"Andrea Cristofaro","orcid":"https://orcid.org/0000-0002-0757-2912"},"institutions":[{"id":"https://openalex.org/I112859197","display_name":"Universit\u00e0 di Camerino","ror":"https://ror.org/0005w8d69","country_code":"IT","type":"education","lineage":["https://openalex.org/I112859197"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Andrea Cristofaro","raw_affiliation_strings":["School of Science and Technology - Mathematics Division, University of Camerino, Camerino, MC, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science and Technology - Mathematics Division, University of Camerino, Camerino, MC, Italy","institution_ids":["https://openalex.org/I112859197"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I112859197"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.13364302,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"140","issue":null,"first_page":"1938","last_page":"1943"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9997000098228455,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9991000294685364,"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/optimal-control","display_name":"Optimal control","score":0.6615132093429565},{"id":"https://openalex.org/keywords/degenerate-energy-levels","display_name":"Degenerate energy levels","score":0.6424692869186401},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.6213701963424683},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5244241952896118},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.5197533965110779},{"id":"https://openalex.org/keywords/laplaces-equation","display_name":"Laplace's equation","score":0.4956585168838501},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.45378634333610535},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.42584165930747986},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4221233129501343},{"id":"https://openalex.org/keywords/exponential-growth","display_name":"Exponential growth","score":0.4200298488140106},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.41154706478118896},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3811228573322296},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3545851707458496},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.32181334495544434},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.23210644721984863},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1089843213558197}],"concepts":[{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6615132093429565},{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.6424692869186401},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.6213701963424683},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5244241952896118},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.5197533965110779},{"id":"https://openalex.org/C70615421","wikidata":"https://www.wikidata.org/wiki/Q339444","display_name":"Laplace's equation","level":3,"score":0.4956585168838501},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.45378634333610535},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.42584165930747986},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4221233129501343},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.4200298488140106},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41154706478118896},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3811228573322296},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3545851707458496},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32181334495544434},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.23210644721984863},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1089843213558197},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.23919/ecc.2019.8796084","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2019.8796084","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 18th European Control Conference (ECC)","raw_type":"proceedings-article"},{"id":"pmh:oai:iris.uniroma1.it:11573/1341489","is_oa":false,"landing_page_url":"http://hdl.handle.net/11573/1341489","pdf_url":null,"source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W290983800","https://openalex.org/W594510519","https://openalex.org/W644710670","https://openalex.org/W1519488445","https://openalex.org/W1545761024","https://openalex.org/W1700080041","https://openalex.org/W1820125862","https://openalex.org/W1933616847","https://openalex.org/W1977318870","https://openalex.org/W1986912385","https://openalex.org/W1989189097","https://openalex.org/W1991369319","https://openalex.org/W1994745025","https://openalex.org/W1999538534","https://openalex.org/W2004261230","https://openalex.org/W2012545351","https://openalex.org/W2023753201","https://openalex.org/W2041930077","https://openalex.org/W2044193174","https://openalex.org/W2059092900","https://openalex.org/W2068877223","https://openalex.org/W2079512678","https://openalex.org/W2091671071","https://openalex.org/W2121855948","https://openalex.org/W2152541396","https://openalex.org/W2210625349","https://openalex.org/W2521163219","https://openalex.org/W2575699727","https://openalex.org/W2902317599","https://openalex.org/W2964107926","https://openalex.org/W4234388437","https://openalex.org/W6637687878"],"related_works":["https://openalex.org/W2353039109","https://openalex.org/W4315588385","https://openalex.org/W2061564118","https://openalex.org/W3124638673","https://openalex.org/W2066153363","https://openalex.org/W2900100504","https://openalex.org/W4210803635","https://openalex.org/W2138217971","https://openalex.org/W2166093608","https://openalex.org/W2041486430"],"abstract_inverted_index":{"This":[0],"paper":[1],"is":[2,22,51,68],"concerned":[3],"with":[4,14,28],"the":[5,9,31,36,41,56,62],"optimal":[6,57],"control":[7,49,58],"of":[8,38,43,64],"parabolic":[10],"p-":[11],"Laplace":[12],"equation":[13,21],"lower":[15],"order":[16],"reaction":[17],"terms.":[18],"The":[19],"autonomous":[20],"shown":[23],"to":[24,30,61],"be":[25],"exponentially":[26],"stable":[27],"respect":[29],"square":[32],"integral":[33],"norm.":[34],"On":[35],"basis":[37],"this":[39],"result,":[40],"task":[42],"reference":[44],"tracking":[45],"using":[46],"a":[47,65],"distributed":[48],"input":[50],"investigated":[52],"and,":[53],"in":[54],"particular,":[55],"problem":[59],"associated":[60],"minimization":[63],"power":[66],"functional":[67],"addressed.":[69]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2019-08-22T00:00:00"}
