{"id":"https://openalex.org/W3014591974","doi":"https://doi.org/10.1137/20m1329020","title":"Luenberger Observers for Infinite-Dimensional Systems, Back and Forth Nudging, and Application to a Crystallization Process","display_name":"Luenberger Observers for Infinite-Dimensional Systems, Back and Forth Nudging, and Application to a Crystallization Process","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3014591974","doi":"https://doi.org/10.1137/20m1329020","mag":"3014591974"},"language":"en","primary_location":{"id":"doi:10.1137/20m1329020","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1329020","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2004.01568","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5073877437","display_name":"Lucas Brivadis","orcid":"https://orcid.org/0000-0002-1763-0995"},"institutions":[{"id":"https://openalex.org/I4210143168","display_name":"Automation and Process Engineering Laboratory","ror":"https://ror.org/03kfjwy31","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I1294671590","https://openalex.org/I203339264","https://openalex.org/I4210095849","https://openalex.org/I4210143168","https://openalex.org/I59692284"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Lucas Brivadis","raw_affiliation_strings":["LAGEP"],"raw_orcid":"https://orcid.org/0000-0002-1763-0995","affiliations":[{"raw_affiliation_string":"LAGEP","institution_ids":["https://openalex.org/I4210143168"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082790000","display_name":"Vincent Andrieu","orcid":"https://orcid.org/0000-0003-1877-6205"},"institutions":[{"id":"https://openalex.org/I4210143168","display_name":"Automation and Process Engineering Laboratory","ror":"https://ror.org/03kfjwy31","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I1294671590","https://openalex.org/I203339264","https://openalex.org/I4210095849","https://openalex.org/I4210143168","https://openalex.org/I59692284"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Vincent Andrieu","raw_affiliation_strings":["LAGEP"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LAGEP","institution_ids":["https://openalex.org/I4210143168"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046339147","display_name":"Ulysse Serres","orcid":"https://orcid.org/0000-0003-3988-3632"},"institutions":[{"id":"https://openalex.org/I4210143168","display_name":"Automation and Process Engineering Laboratory","ror":"https://ror.org/03kfjwy31","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I1294671590","https://openalex.org/I203339264","https://openalex.org/I4210095849","https://openalex.org/I4210143168","https://openalex.org/I59692284"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Ulysse Serres","raw_affiliation_strings":["LAGEP"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LAGEP","institution_ids":["https://openalex.org/I4210143168"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103269946","display_name":"Jean-Paul Gauthier","orcid":"https://orcid.org/0000-0002-8646-3238"},"institutions":[{"id":"https://openalex.org/I4210114274","display_name":"Laboratoire d\u2019Informatique et Syst\u00e8mes","ror":"https://ror.org/0257sgk90","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I143002897","https://openalex.org/I21491767","https://openalex.org/I4210114274"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean-Paul Gauthier","raw_affiliation_strings":["LIS"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LIS","institution_ids":["https://openalex.org/I4210114274"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5073877437"],"corresponding_institution_ids":["https://openalex.org/I4210143168"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0029258,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"59","issue":"2","first_page":"857","last_page":"886"},"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":0.9998000264167786,"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":0.9998000264167786,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.993399977684021,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9918000102043152,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/observability","display_name":"Observability","score":0.9245356917381287},{"id":"https://openalex.org/keywords/observable","display_name":"Observable","score":0.712979793548584},{"id":"https://openalex.org/keywords/observer","display_name":"Observer (physics)","score":0.5719634294509888},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5594741106033325},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5149120092391968},{"id":"https://openalex.org/keywords/state-observer","display_name":"State observer","score":0.4966579079627991},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.4603123664855957},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4263099431991577},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3373642563819885},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.30881160497665405},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.2693865895271301},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23177570104599},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1968216896057129}],"concepts":[{"id":"https://openalex.org/C36299963","wikidata":"https://www.wikidata.org/wiki/Q1369844","display_name":"Observability","level":2,"score":0.9245356917381287},{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.712979793548584},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.5719634294509888},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5594741106033325},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5149120092391968},{"id":"https://openalex.org/C3031470","wikidata":"https://www.wikidata.org/wiki/Q818544","display_name":"State observer","level":3,"score":0.4966579079627991},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.4603123664855957},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4263099431991577},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3373642563819885},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30881160497665405},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.2693865895271301},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23177570104599},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1968216896057129},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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":6,"locations":[{"id":"doi:10.1137/20m1329020","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1329020","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2004.01568","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2004.01568","pdf_url":"https://arxiv.org/pdf/2004.01568","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"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":null,"raw_type":"text"},{"id":"mag:3014591974","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2004.01568.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"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":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:HAL:hal-02529820v1","is_oa":true,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-02529820","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":"https://hal.archives-ouvertes.fr/hal-02529820","raw_type":"info:eu-repo/semantics/preprint"},{"id":"pmh:oai:HAL:hal-02529820v2","is_oa":false,"landing_page_url":"https://hal.science/hal-02529820","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://doi.org/10.1137/20M1329020","raw_type":"Journal articles"},{"id":"doi:10.48550/arxiv.2004.01568","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2004.01568","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2004.01568","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2004.01568","pdf_url":"https://arxiv.org/pdf/2004.01568","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6044510825","display_name":null,"funder_award_id":"ANR-19-CE48-0004-01","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1527296550","https://openalex.org/W1545761024","https://openalex.org/W1576754181","https://openalex.org/W1980138950","https://openalex.org/W1983967690","https://openalex.org/W1985945078","https://openalex.org/W1986580319","https://openalex.org/W2003945225","https://openalex.org/W2036375500","https://openalex.org/W2043585825","https://openalex.org/W2054849867","https://openalex.org/W2055688765","https://openalex.org/W2056655899","https://openalex.org/W2075969858","https://openalex.org/W2081262789","https://openalex.org/W2087574051","https://openalex.org/W2094199178","https://openalex.org/W2097089521","https://openalex.org/W2123090555","https://openalex.org/W2132702246","https://openalex.org/W2156526309","https://openalex.org/W2157598842","https://openalex.org/W2162072544","https://openalex.org/W2164826144","https://openalex.org/W2619649968","https://openalex.org/W2912460793","https://openalex.org/W3001538211","https://openalex.org/W3105153884","https://openalex.org/W4238132738"],"related_works":["https://openalex.org/W2999781518","https://openalex.org/W2071812909","https://openalex.org/W3045566603","https://openalex.org/W2911631246","https://openalex.org/W3155632810","https://openalex.org/W2094664037","https://openalex.org/W2980287923","https://openalex.org/W2184944063","https://openalex.org/W3200374918","https://openalex.org/W2122771271","https://openalex.org/W3152789332","https://openalex.org/W3023056062","https://openalex.org/W1867917480","https://openalex.org/W2046789556","https://openalex.org/W2566199617","https://openalex.org/W2083730444","https://openalex.org/W2187786674","https://openalex.org/W2178288904","https://openalex.org/W2779654494","https://openalex.org/W3010755183"],"abstract_inverted_index":{"This":[0],"paper":[1],"deals":[2],"with":[3,122],"the":[4,16,22,25,28,35,41,67,72,87,95,101,132,137],"observer":[5,64,88],"design":[6],"problem":[7,17,36],"for":[8],"time-varying":[9],"linear":[10],"infinite-dimensional":[11],"systems.":[12],"We":[13,104],"address":[14],"both":[15,52],"of":[18,21,24,37,40,71,86,108],"online":[19],"estimation":[20,39],"state":[23,43],"system":[26,96],"from":[27,136],"output":[29],"via":[30,44],"an":[31,106],"asymptotic":[32],"observer,":[33],"and":[34,47],"offline":[38],"initial":[42],"a":[45,57,62,83,112,118],"back":[46],"forth":[48],"nudging":[49],"algorithm.":[50],"In":[51],"contexts,":[53],"we":[54,128],"show":[55,100],"under":[56],"weak":[58,84],"detectability":[59],"assumption":[60],"that":[61],"Luenberger-like":[63],"may":[65],"reconstruct":[66],"so-called":[68],"observable":[69],"subspace":[70],"system.":[73],"However,":[74],"since":[75],"no":[76],"exact":[77],"observability":[78],"hypothesis":[79],"is":[80],"required,":[81],"only":[82],"convergence":[85],"holds":[89],"in":[90,126],"general.":[91],"Additional":[92],"conditions":[93],"on":[94],"are":[97],"required":[98],"to":[99,111,130],"strong":[102],"convergence.":[103],"provide":[105],"application":[107],"our":[109],"results":[110],"batch":[113],"crystallization":[114],"process":[115],"modeled":[116],"by":[117],"one-dimensional":[119],"transport":[120],"equation":[121],"periodic":[123],"boundary":[124],"conditions,":[125],"which":[127],"try":[129],"estimate":[131],"crystal":[133],"size":[134],"distribution":[135],"chord":[138],"length":[139],"distribution.":[140]},"counts_by_year":[],"updated_date":"2026-05-07T13:39:58.223016","created_date":"2021-03-15T00:00:00"}