{"id":"https://openalex.org/W3013610634","doi":"https://doi.org/10.1007/978-3-030-41131-2_9","title":"Guaranteed Optimal Reachability Control of Reaction-Diffusion Equations Using One-Sided Lipschitz Constants and Model Reduction","display_name":"Guaranteed Optimal Reachability Control of Reaction-Diffusion Equations Using One-Sided Lipschitz Constants and Model Reduction","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3013610634","doi":"https://doi.org/10.1007/978-3-030-41131-2_9","mag":"3013610634"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-41131-2_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-41131-2_9","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.archives-ouvertes.fr/hal-02193769","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5089879999","display_name":"Adrien Camille le Coent","orcid":null},"institutions":[{"id":"https://openalex.org/I891191580","display_name":"Aalborg University","ror":"https://ror.org/04m5j1k67","country_code":"DK","type":"education","lineage":["https://openalex.org/I891191580"]}],"countries":["DK"],"is_corresponding":true,"raw_author_name":"Adrien Le Co\u00ebnt","raw_affiliation_strings":["Department of Computer Science, Aalborg University, Selma Largerl\u00f8fs Vej 300, 9220, Aalborg, Denmark","Department of Computer Science [Aalborg]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Aalborg University, Selma Largerl\u00f8fs Vej 300, 9220, Aalborg, Denmark","institution_ids":["https://openalex.org/I891191580"]},{"raw_affiliation_string":"Department of Computer Science [Aalborg]","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058799763","display_name":"Laurent Fribourg","orcid":"https://orcid.org/0000-0002-5562-4078"},"institutions":[{"id":"https://openalex.org/I11559806","display_name":"\u00c9cole Normale Sup\u00e9rieure Paris-Saclay","ror":"https://ror.org/00hx6zz33","country_code":"FR","type":"education","lineage":["https://openalex.org/I11559806","https://openalex.org/I277688954"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I4210103330","display_name":"\u00c9cole Normale Sup\u00e9rieure","ror":"https://ror.org/01dp7jr64","country_code":"BI","type":"education","lineage":["https://openalex.org/I4210103330"]},{"id":"https://openalex.org/I4210104198","display_name":"Laboratoire Sp\u00e9cification et V\u00e9rification","ror":"https://ror.org/01kz1bj67","country_code":"FR","type":"facility","lineage":["https://openalex.org/I11559806","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I277688954","https://openalex.org/I4210104198","https://openalex.org/I4210159245"]}],"countries":["BI","FR"],"is_corresponding":false,"raw_author_name":"Laurent Fribourg","raw_affiliation_strings":["LSV, ENS Paris-Saclay, CNRS, Universit\u00e9 Paris Saclay, 91 Avenue du Pr\u00e9sident Wilson, 94235, Cachan Cedex, France","Ecole Normale Sup\u00e9rieure  Paris-Saclay","Centre National de la Recherche Scientifique","Universit\u00e9 Paris-Saclay","Laboratoire Sp\u00e9cification et V\u00e9rification [Cachan]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LSV, ENS Paris-Saclay, CNRS, Universit\u00e9 Paris Saclay, 91 Avenue du Pr\u00e9sident Wilson, 94235, Cachan Cedex, France","institution_ids":["https://openalex.org/I277688954","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Ecole Normale Sup\u00e9rieure  Paris-Saclay","institution_ids":["https://openalex.org/I4210103330","https://openalex.org/I11559806"]},{"raw_affiliation_string":"Centre National de la Recherche Scientifique","institution_ids":["https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Universit\u00e9 Paris-Saclay","institution_ids":["https://openalex.org/I277688954"]},{"raw_affiliation_string":"Laboratoire Sp\u00e9cification et V\u00e9rification [Cachan]","institution_ids":["https://openalex.org/I4210104198"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5089879999"],"corresponding_institution_ids":["https://openalex.org/I891191580"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":7.3986,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.97119342,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"181","last_page":"202"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.998199999332428,"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"}},"topics":[{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.998199999332428,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9980000257492065,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/reachability","display_name":"Reachability","score":0.8861321210861206},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.7544833421707153},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.6840702891349792},{"id":"https://openalex.org/keywords/reaction\u2013diffusion-system","display_name":"Reaction\u2013diffusion system","score":0.6616673469543457},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6614478826522827},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.5373581647872925},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4587959945201874},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.42239320278167725},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32674625515937805},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29166388511657715},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2858140468597412},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.23854291439056396},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21335634589195251},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10598775744438171},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09733220934867859}],"concepts":[{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.8861321210861206},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.7544833421707153},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.6840702891349792},{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.6616673469543457},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6614478826522827},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.5373581647872925},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4587959945201874},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.42239320278167725},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32674625515937805},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29166388511657715},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2858140468597412},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.23854291439056396},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21335634589195251},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10598775744438171},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09733220934867859},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/978-3-030-41131-2_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-41131-2_9","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:HAL:hal-02193769v1","is_oa":true,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-02193769","pdf_url":null,"source":{"id":"https://openalex.org/S4406922276","display_name":"INRIA a CCSD electronic archive server","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://hal.archives-ouvertes.fr/hal-02193769","raw_type":"info:eu-repo/semantics/preprint"},{"id":"pmh:oai:HAL:hal-02193769v3","is_oa":true,"landing_page_url":"https://hal.science/hal-02193769","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2019","raw_type":"Preprints, Working Papers, ..."},{"id":"pmh:oai:pure.atira.dk:publications/2d2ff0e1-1aa4-457d-a8be-fef8b648bbc1","is_oa":false,"landing_page_url":"https://vbn.aau.dk/da/publications/2d2ff0e1-1aa4-457d-a8be-fef8b648bbc1","pdf_url":null,"source":{"id":"https://openalex.org/S4306401731","display_name":"VBN Forskningsportal (Aalborg Universitet)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I891191580","host_organization_name":"Aalborg University","host_organization_lineage":["https://openalex.org/I891191580"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Coent, A C L & Fribourg, L 2020, Guaranteed Optimal Reachability Control of Reaction-Diffusion Equations Using One-Sided Lipschitz Constants and Model Reduction. in R Chamberlain, M Edin Grimheden & W Taha (eds), Cyber Physical Systems. Model-Based Design : 9th International Workshop, CyPhy 2019, and 15th International Workshop, WESE 2019, New York City, NY, USA, October 17-18, 2019, Revised Selected Papers. Springer, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 11971 LNCS, pp. 181-202, 9th International Workshop on Model-Based Design of Cyber Physical Systems, CyPhy 2019 and 15th International Workshop on Embedded and Cyber-Physical Systems Education, WESE 2019, held in conjunction with ESWeek 2019, New York City, United States, 17/10/2019. https://doi.org/10.1007/978-3-030-41131-2_9","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-02193769v1","is_oa":true,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-02193769","pdf_url":null,"source":{"id":"https://openalex.org/S4406922276","display_name":"INRIA a CCSD electronic archive server","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://hal.archives-ouvertes.fr/hal-02193769","raw_type":"info:eu-repo/semantics/preprint"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W26528315","https://openalex.org/W143062967","https://openalex.org/W243129401","https://openalex.org/W306903215","https://openalex.org/W315739085","https://openalex.org/W1569692898","https://openalex.org/W1709870800","https://openalex.org/W1991243721","https://openalex.org/W1997741068","https://openalex.org/W2012580470","https://openalex.org/W2024171867","https://openalex.org/W2028250839","https://openalex.org/W2033666012","https://openalex.org/W2051110650","https://openalex.org/W2058656490","https://openalex.org/W2067019787","https://openalex.org/W2085969366","https://openalex.org/W2091229997","https://openalex.org/W2096909297","https://openalex.org/W2102158516","https://openalex.org/W2117590489","https://openalex.org/W2117813055","https://openalex.org/W2132953997","https://openalex.org/W2133513409","https://openalex.org/W2158451642","https://openalex.org/W2160327186","https://openalex.org/W2249665386","https://openalex.org/W2322681329","https://openalex.org/W2341171179","https://openalex.org/W2524115906","https://openalex.org/W2588542536","https://openalex.org/W2604974765","https://openalex.org/W2735485745","https://openalex.org/W2746722045","https://openalex.org/W2756915303","https://openalex.org/W2768581533","https://openalex.org/W2774442510","https://openalex.org/W2774589618","https://openalex.org/W2783829429","https://openalex.org/W2789305006","https://openalex.org/W2908081345","https://openalex.org/W2914134759","https://openalex.org/W2944722948","https://openalex.org/W2963701132","https://openalex.org/W2964153142","https://openalex.org/W2991756765","https://openalex.org/W3010826283","https://openalex.org/W3100135013","https://openalex.org/W3101159108","https://openalex.org/W3105872988","https://openalex.org/W3140972912","https://openalex.org/W3149566478","https://openalex.org/W4306251812"],"related_works":["https://openalex.org/W2127267268","https://openalex.org/W2136512912","https://openalex.org/W2067910792","https://openalex.org/W2156446763","https://openalex.org/W2143461633","https://openalex.org/W2150194458","https://openalex.org/W4321471459","https://openalex.org/W2052725501","https://openalex.org/W3084156746","https://openalex.org/W4287670495"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2026-05-09T13:55:54.758798","created_date":"2020-04-03T00:00:00"}