{"id":"https://openalex.org/W1558434399","doi":"https://doi.org/10.1109/cdc.2003.1272579","title":"Set point boundary control for a nonlinear distributed parameter system","display_name":"Set point boundary control for a nonlinear distributed parameter system","publication_year":2004,"publication_date":"2004-07-08","ids":{"openalex":"https://openalex.org/W1558434399","doi":"https://doi.org/10.1109/cdc.2003.1272579","mag":"1558434399"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2003.1272579","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2003.1272579","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","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/A5062373347","display_name":"C.I. Bymes","orcid":null},"institutions":[{"id":"https://openalex.org/I204465549","display_name":"Washington University in St. Louis","ror":"https://ror.org/01yc7t268","country_code":"US","type":"education","lineage":["https://openalex.org/I204465549"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"C.I. Bymes","raw_affiliation_strings":["Systems Science and Mathematics, Washington University, Saint Louis, MO, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Systems Science and Mathematics, Washington University, Saint Louis, MO, USA","institution_ids":["https://openalex.org/I204465549"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085969777","display_name":"D.S. Gilliam","orcid":"https://orcid.org/0000-0002-5416-6191"},"institutions":[{"id":"https://openalex.org/I12315562","display_name":"Texas Tech University","ror":"https://ror.org/0405mnx93","country_code":"US","type":"education","lineage":["https://openalex.org/I12315562"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"D.S. Gilliam","raw_affiliation_strings":["Mathematics and Statistics, Texas Tech University, Lubbock, TX, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics and Statistics, Texas Tech University, Lubbock, TX, USA","institution_ids":["https://openalex.org/I12315562"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109607905","display_name":"Alberto Isidori","orcid":null},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"A. Isidori","raw_affiliation_strings":["Dipart. di Info. e Sistemistica, Universit\u00e0 di Roma La Sapienza, Rome, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipart. di Info. e Sistemistica, Universit\u00e0 di Roma La Sapienza, Rome, Italy","institution_ids":["https://openalex.org/I861853513"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023348376","display_name":"V.I. Shubov","orcid":null},"institutions":[{"id":"https://openalex.org/I12315562","display_name":"Texas Tech University","ror":"https://ror.org/0405mnx93","country_code":"US","type":"education","lineage":["https://openalex.org/I12315562"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"V.I. Shubov","raw_affiliation_strings":["Mathematics and Statistics, Texas Tech University, Lubbock, TX, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics and Statistics, Texas Tech University, Lubbock, TX, USA","institution_ids":["https://openalex.org/I12315562"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"1","issue":null,"first_page":"312","last_page":"317"},"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":1.0,"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":1.0,"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":0.9975000023841858,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9872999787330627,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/distributed-parameter-system","display_name":"Distributed parameter system","score":0.8080689907073975},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7723615169525146},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6533336639404297},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.6202371120452881},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5707390904426575},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.538795530796051},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5085104703903198},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4865099787712097},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.47839510440826416},{"id":"https://openalex.org/keywords/equilibrium-point","display_name":"Equilibrium point","score":0.4765527844429016},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.46165239810943604},{"id":"https://openalex.org/keywords/set-point","display_name":"Set point","score":0.45221036672592163},{"id":"https://openalex.org/keywords/nonlinear-control","display_name":"Nonlinear control","score":0.4408051669597626},{"id":"https://openalex.org/keywords/heat-equation","display_name":"Heat equation","score":0.437509685754776},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39188653230667114},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38451191782951355},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3752068877220154},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36539214849472046},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19939371943473816},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.1933344602584839},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.12366273999214172},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09567669034004211}],"concepts":[{"id":"https://openalex.org/C112714845","wikidata":"https://www.wikidata.org/wiki/Q1482001","display_name":"Distributed parameter system","level":3,"score":0.8080689907073975},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7723615169525146},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6533336639404297},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.6202371120452881},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5707390904426575},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.538795530796051},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5085104703903198},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4865099787712097},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.47839510440826416},{"id":"https://openalex.org/C94766913","wikidata":"https://www.wikidata.org/wiki/Q1530271","display_name":"Equilibrium point","level":3,"score":0.4765527844429016},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.46165239810943604},{"id":"https://openalex.org/C2993627981","wikidata":"https://www.wikidata.org/wiki/Q7456295","display_name":"Set point","level":2,"score":0.45221036672592163},{"id":"https://openalex.org/C91581856","wikidata":"https://www.wikidata.org/wiki/Q2707001","display_name":"Nonlinear control","level":3,"score":0.4408051669597626},{"id":"https://openalex.org/C202787564","wikidata":"https://www.wikidata.org/wiki/Q6510488","display_name":"Heat equation","level":2,"score":0.437509685754776},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39188653230667114},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38451191782951355},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3752068877220154},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36539214849472046},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19939371943473816},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.1933344602584839},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.12366273999214172},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09567669034004211},{"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/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2003.1272579","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2003.1272579","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","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":19,"referenced_works":["https://openalex.org/W93512482","https://openalex.org/W114979488","https://openalex.org/W1541939020","https://openalex.org/W1557040331","https://openalex.org/W1560060148","https://openalex.org/W1999538534","https://openalex.org/W2025195390","https://openalex.org/W2034221685","https://openalex.org/W2034997489","https://openalex.org/W2081268922","https://openalex.org/W2103666082","https://openalex.org/W2114781747","https://openalex.org/W2118589723","https://openalex.org/W2119925384","https://openalex.org/W2136807365","https://openalex.org/W2149087996","https://openalex.org/W2163245660","https://openalex.org/W2562166486","https://openalex.org/W4249919931"],"related_works":["https://openalex.org/W3022440708","https://openalex.org/W4306291890","https://openalex.org/W2348943862","https://openalex.org/W2126060713","https://openalex.org/W1977550291","https://openalex.org/W979491105","https://openalex.org/W631833468","https://openalex.org/W2113051260","https://openalex.org/W2075944707","https://openalex.org/W1809107674"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"define":[4],"a":[5,27,46],"problem":[6],"of":[7,48],"output":[8,32],"regulation":[9,33],"for":[10,26,40,45],"nonlinear":[11,49],"distributed":[12],"parameter":[13],"systems,":[14],"in":[15],"the":[16,31,41],"non-equilibrium":[17],"setting.":[18],"We":[19],"also":[20],"give":[21],"necessary":[22],"and":[23,44],"sufficient":[24],"conditions":[25],"controller":[28],"to":[29],"solve":[30],"problem.":[34],"This":[35],"result":[36],"is":[37],"then":[38],"illustrated":[39],"heat":[42],"equation":[43],"class":[47],"reaction-diffusion":[50],"equations.":[51]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
