{"id":"https://openalex.org/W2149303950","doi":"https://doi.org/10.1137/120867433","title":"A Theory of the Infinite Horizon LQ-Problem for Composite Systems of PDEs with Boundary Control","display_name":"A Theory of the Infinite Horizon LQ-Problem for Composite Systems of PDEs with Boundary Control","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2149303950","doi":"https://doi.org/10.1137/120867433","mag":"2149303950"},"language":"en","primary_location":{"id":"doi:10.1137/120867433","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120867433","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"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 Mathematical Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://epubs.siam.org/doi/10.1137/120867433","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5036526915","display_name":"Paolo Acquistapace","orcid":"https://orcid.org/0000-0002-0849-8435"},"institutions":[{"id":"https://openalex.org/I108290504","display_name":"University of Pisa","ror":"https://ror.org/03ad39j10","country_code":"IT","type":"education","lineage":["https://openalex.org/I108290504"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Paolo Acquistapace","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e0 di Pisa, 56127 Pisa, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 di Pisa, 56127 Pisa, Italy","institution_ids":["https://openalex.org/I108290504"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5107990207","display_name":"Francesca Bucci","orcid":"https://orcid.org/0000-0003-2316-6954"},"institutions":[{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Francesca Bucci","raw_affiliation_strings":["Dipartimento di Matematica e Informatica \"U. Dini,\" Universit\u00e0 degli Studi di Firenze, 50139 Firenze, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Informatica \"U. Dini,\" Universit\u00e0 degli Studi di Firenze, 50139 Firenze, Italy","institution_ids":["https://openalex.org/I45084792"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053756814","display_name":"Irena Lasiecka","orcid":"https://orcid.org/0000-0003-3342-2202"},"institutions":[{"id":"https://openalex.org/I99542240","display_name":"Polish Academy of Sciences","ror":"https://ror.org/01dr6c206","country_code":"PL","type":"funder","lineage":["https://openalex.org/I99542240"]},{"id":"https://openalex.org/I51556381","display_name":"University of Virginia","ror":"https://ror.org/0153tk833","country_code":"US","type":"education","lineage":["https://openalex.org/I51556381"]}],"countries":["PL","US"],"is_corresponding":false,"raw_author_name":"Irena Lasiecka","raw_affiliation_strings":["Department of Mathematics, University of Virginia, Charlottesville, VA 22904-4137, and IBS,","Polish Academy of Sciences, Warsaw, Poland"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Virginia, Charlottesville, VA 22904-4137, and IBS,","institution_ids":["https://openalex.org/I51556381"]},{"raw_affiliation_string":"Polish Academy of Sciences, Warsaw, Poland","institution_ids":["https://openalex.org/I99542240"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5107990207"],"corresponding_institution_ids":["https://openalex.org/I45084792"],"apc_list":null,"apc_paid":null,"fwci":0.505,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.74662508,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"45","issue":"3","first_page":"1825","last_page":"1870"},"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":0.9997000098228455,"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":0.9997000098228455,"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":0.9997000098228455,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8379886746406555},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5434070825576782},{"id":"https://openalex.org/keywords/thermoelastic-damping","display_name":"Thermoelastic damping","score":0.5426521897315979},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5032650828361511},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.5008435249328613},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.46967560052871704},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.45366862416267395},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4457316994667053},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.44527629017829895},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.15994808077812195}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8379886746406555},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5434070825576782},{"id":"https://openalex.org/C92458943","wikidata":"https://www.wikidata.org/wiki/Q7783171","display_name":"Thermoelastic damping","level":3,"score":0.5426521897315979},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5032650828361511},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.5008435249328613},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.46967560052871704},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.45366862416267395},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4457316994667053},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.44527629017829895},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.15994808077812195},{"id":"https://openalex.org/C204530211","wikidata":"https://www.wikidata.org/wiki/Q752823","display_name":"Thermal","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/120867433","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120867433","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"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 Mathematical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:arpi.unipi.it:11568/235649","is_oa":false,"landing_page_url":"http://hdl.handle.net/11568/235649","pdf_url":null,"source":{"id":"https://openalex.org/S4377196265","display_name":"CINECA IRIS Institutial research information system (University of Pisa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I108290504","host_organization_name":"University of Pisa","host_organization_lineage":["https://openalex.org/I108290504"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:flore.unifi.it:2158/795654","is_oa":true,"landing_page_url":"https://epubs.siam.org/doi/10.1137/120867433","pdf_url":null,"source":{"id":"https://openalex.org/S4306402033","display_name":"Florence Research (University of Florence)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45084792","host_organization_name":"University of Florence","host_organization_lineage":["https://openalex.org/I45084792"],"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":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:flore.unifi.it:2158/795654","is_oa":true,"landing_page_url":"https://epubs.siam.org/doi/10.1137/120867433","pdf_url":null,"source":{"id":"https://openalex.org/S4306402033","display_name":"Florence Research (University of Florence)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45084792","host_organization_name":"University of Florence","host_organization_lineage":["https://openalex.org/I45084792"],"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":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1966720130","https://openalex.org/W1982056686","https://openalex.org/W1991648941","https://openalex.org/W1994981994","https://openalex.org/W2004451407","https://openalex.org/W2018982234","https://openalex.org/W2052426650","https://openalex.org/W2061333658","https://openalex.org/W2062629819","https://openalex.org/W2077640291","https://openalex.org/W2090208241","https://openalex.org/W2118769729","https://openalex.org/W2166467433","https://openalex.org/W2245394296","https://openalex.org/W2963090514","https://openalex.org/W4249459746","https://openalex.org/W4252456749"],"related_works":["https://openalex.org/W2001550513","https://openalex.org/W2090764544","https://openalex.org/W3208881875","https://openalex.org/W2128585177","https://openalex.org/W2944231641","https://openalex.org/W2059631326","https://openalex.org/W4388101082","https://openalex.org/W2325690970","https://openalex.org/W2021751570","https://openalex.org/W1988195128"],"abstract_inverted_index":{"We":[0],"study":[1],"the":[2,9,78,91,97,100,104,108,116,120,125,129,132,145,150,159,173,182,202,205],"infinite":[3,174],"horizon":[4,165,176],"linear-quadratic":[5],"(LQ)":[6],"problem":[7,218],"and":[8,154,192],"associated":[10],"algebraic":[11],"Riccati":[12,70,185],"equations":[13,31,71,84],"for":[14,59],"systems":[15,27,43],"with":[16,33,48,72],"unbounded":[17,65,73],"control":[18,66,133,217],"actions.":[19],"The":[20,169,208],"operator-theoretic":[21],"context":[22],"is":[23,40,210],"motivated":[24],"by":[25,119,149,212],"composite":[26,101],"of":[28,44,82,93,96,115,128,144,158,181,204,214],"partial":[29],"differential":[30],"(PDEs)":[32],"boundary":[34,216],"or":[35,61],"point":[36],"control.":[37],"Specific":[38],"focus":[39],"placed":[41],"on":[42,161],"coupled":[45],"hyperbolic/parabolic":[46],"PDE":[47],"an":[49],"overall":[50],"\u201cpredominant\u201d":[51],"hyperbolic":[52,142],"character,":[53],"such":[54],"as,":[55],"e.g.,":[56],"some":[57],"models":[58],"thermoelastic":[60],"fluid-structure":[62],"interactions.":[63],"While":[64],"actions":[67],"lead":[68],"to":[69,90,99,113,131,200],"(operator)":[74],"coefficients,":[75],"unlike":[76],"in":[77,124,152,179,198,220],"parabolic":[79],"case":[80],"solvability":[81],"these":[83],"becomes":[85],"a":[86,155,162,215],"major":[87],"issue,":[88],"owing":[89],"lack":[92],"sufficient":[94],"regularity":[95],"solutions":[98],"dynamics.":[102],"In":[103],"present":[105,170],"case,":[106],"even":[107],"more":[109],"general":[110],"theory":[111,157,209],"appealing":[112],"estimates":[114],"singularity":[117],"displayed":[118],"kernel":[121],"which":[122,139],"occurs":[123],"integral":[126],"representation":[127],"solution":[130],"system":[134],"fails.":[135],"A":[136],"novel":[137],"framework":[138],"embodies":[140],"possible":[141],"components":[143],"dynamics":[146],"was":[147],"introduced":[148],"authors":[151],"2005,":[153],"full":[156],"LQ-problem":[160],"finite":[163],"time":[164,175],"has":[166],"been":[167],"developed.":[168],"paper":[171],"provides":[172],"theory,":[177],"culminating":[178],"well-posedness":[180],"corresponding":[183],"(algebraic)":[184],"equations.":[186],"New":[187],"technical":[188],"challenges":[189],"are":[190,195],"encountered":[191],"new":[193],"tools":[194],"needed,":[196],"especially":[197],"order":[199],"pinpoint":[201],"differentiability":[203],"optimal":[206],"solution.":[207],"illustrated":[211],"means":[213],"arising":[219],"thermoelasticity.":[221]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}