{"id":"https://openalex.org/W3086661912","doi":"https://doi.org/10.1109/tac.2020.3022849","title":"Observers and Disturbance Rejection Control for a Heat Equation","display_name":"Observers and Disturbance Rejection Control for a Heat Equation","publication_year":2020,"publication_date":"2020-09-08","ids":{"openalex":"https://openalex.org/W3086661912","doi":"https://doi.org/10.1109/tac.2020.3022849","mag":"3086661912"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2020.3022849","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2020.3022849","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},"type":"article","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/A5061002944","display_name":"Hongyinping Feng","orcid":"https://orcid.org/0000-0002-1492-9991"},"institutions":[{"id":"https://openalex.org/I181877577","display_name":"Shanxi University","ror":"https://ror.org/03y3e3s17","country_code":"CN","type":"education","lineage":["https://openalex.org/I181877577"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongyinping Feng","raw_affiliation_strings":["School of Mathematical Sciences, Shanxi University, Taiyuan, Shanxi, China"],"raw_orcid":"https://orcid.org/0000-0002-1492-9991","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Shanxi University, Taiyuan, Shanxi, China","institution_ids":["https://openalex.org/I181877577"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004417909","display_name":"Cheng-Zhong Xu","orcid":"https://orcid.org/0000-0003-1622-778X"},"institutions":[{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I4210143168","display_name":"Laboratoire d'Automatique, de G\u00e9nie des Proc\u00e9d\u00e9s et de G\u00e9nie Pharmaceutique","ror":"https://ror.org/03kfjwy31","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I1294671590","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":"Cheng-Zhong Xu","raw_affiliation_strings":["University of Lyon, Universit\u00e9 Claude Bernard Lyon 1, Department of Mechanics, LAGEPP, B\u00e2timent CPE, 43 Boulevard du 11 novembre 1918, Villeurbanne Cedex, France"],"raw_orcid":"https://orcid.org/0000-0003-1622-778X","affiliations":[{"raw_affiliation_string":"University of Lyon, Universit\u00e9 Claude Bernard Lyon 1, Department of Mechanics, LAGEPP, B\u00e2timent CPE, 43 Boulevard du 11 novembre 1918, Villeurbanne Cedex, France","institution_ids":["https://openalex.org/I100532134","https://openalex.org/I4210143168"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080924516","display_name":"Peng\u2010Fei Yao","orcid":"https://orcid.org/0000-0002-2164-5217"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Peng-Fei Yao","raw_affiliation_strings":["Key Lab of Systems and Control, Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China","School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-2164-5217","affiliations":[{"raw_affiliation_string":"Key Lab of Systems and Control, Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"raw_affiliation_string":"School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210165038"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9427,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.73108387,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"65","issue":"11","first_page":"4957","last_page":"4964"},"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":0.9951000213623047,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9843999743461609,"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/control-theory","display_name":"Control theory (sociology)","score":0.732582151889801},{"id":"https://openalex.org/keywords/heat-equation","display_name":"Heat equation","score":0.6834603548049927},{"id":"https://openalex.org/keywords/disturbance","display_name":"Disturbance (geology)","score":0.6517127752304077},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.560181200504303},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5415154099464417},{"id":"https://openalex.org/keywords/active-disturbance-rejection-control","display_name":"Active disturbance rejection control","score":0.5168355107307434},{"id":"https://openalex.org/keywords/dirichlet-boundary-condition","display_name":"Dirichlet boundary condition","score":0.4218783676624298},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4217718243598938},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3221229314804077},{"id":"https://openalex.org/keywords/state-observer","display_name":"State observer","score":0.3087267279624939},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2542295455932617},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2484966218471527},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17175832390785217},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.13208267092704773},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.06439107656478882}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.732582151889801},{"id":"https://openalex.org/C202787564","wikidata":"https://www.wikidata.org/wiki/Q6510488","display_name":"Heat equation","level":2,"score":0.6834603548049927},{"id":"https://openalex.org/C2777601987","wikidata":"https://www.wikidata.org/wiki/Q5283581","display_name":"Disturbance (geology)","level":2,"score":0.6517127752304077},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.560181200504303},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5415154099464417},{"id":"https://openalex.org/C2778072542","wikidata":"https://www.wikidata.org/wiki/Q4677499","display_name":"Active disturbance rejection control","level":4,"score":0.5168355107307434},{"id":"https://openalex.org/C110167270","wikidata":"https://www.wikidata.org/wiki/Q1193699","display_name":"Dirichlet boundary condition","level":3,"score":0.4218783676624298},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4217718243598938},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3221229314804077},{"id":"https://openalex.org/C3031470","wikidata":"https://www.wikidata.org/wiki/Q818544","display_name":"State observer","level":3,"score":0.3087267279624939},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2542295455932617},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2484966218471527},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17175832390785217},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.13208267092704773},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.06439107656478882},{"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},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tac.2020.3022849","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2020.3022849","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-04118807v1","is_oa":false,"landing_page_url":"https://cnrs.hal.science/hal-04118807","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":"IEEE Transactions on Automatic Control, 2020, 65 (11), pp.4957 - 4964. &#x27E8;10.1109/tac.2020.3022849&#x27E9;","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4099999964237213,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G1561559550","display_name":null,"funder_award_id":"61873153","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W30907860","https://openalex.org/W203646022","https://openalex.org/W1490180844","https://openalex.org/W1527296550","https://openalex.org/W1538686203","https://openalex.org/W1606157354","https://openalex.org/W1965099747","https://openalex.org/W1996791617","https://openalex.org/W2006498845","https://openalex.org/W2025696919","https://openalex.org/W2049892514","https://openalex.org/W2091006523","https://openalex.org/W2135493101","https://openalex.org/W2560060370","https://openalex.org/W2586061796","https://openalex.org/W2592368625","https://openalex.org/W2618139077","https://openalex.org/W2738756397","https://openalex.org/W2752161554","https://openalex.org/W2766410575","https://openalex.org/W2954199931","https://openalex.org/W3098965773","https://openalex.org/W3100914771","https://openalex.org/W6741367169"],"related_works":["https://openalex.org/W4210729524","https://openalex.org/W2991240131","https://openalex.org/W3129061494","https://openalex.org/W2529889974","https://openalex.org/W4382702321","https://openalex.org/W2953358686","https://openalex.org/W2294659156","https://openalex.org/W3098571475","https://openalex.org/W2353427523","https://openalex.org/W4200632775"],"abstract_inverted_index":{"The":[0,13,41,83],"article":[1],"is":[2,35,64,104,111],"concerned":[3],"with":[4],"active":[5],"disturbance":[6,110],"rejection":[7],"control":[8,62,97],"of":[9,25,32,69],"a":[10,37,48,94],"heat":[11,15,42,53],"equation.":[12],"considered":[14],"equation":[16,43],"satisfies":[17],"the":[18,26,29,33,52,67,77,80,87,101,108],"Dirichlet":[19],"boundary":[20,34,39],"condition":[21],"on":[22,66],"one":[23],"part":[24,31],"boundary.":[27],"On":[28],"other":[30],"located":[36],"Neumann":[38],"control.":[40],"system":[44,103],"suffers":[45],"from":[46],"both":[47,76],"model":[49],"uncertainty":[50,89],"in":[51],"flow":[54],"modeling":[55],"and":[56,79,86,107],"an":[57,70],"unknown":[58,81],"external":[59,109],"disturbance.":[60],"Our":[61],"approach":[63],"based":[65],"design":[68],"exponentially":[71,105],"converging":[72],"observer":[73],"to":[74,92],"estimates":[75],"state":[78,85],"uncertainty.":[82],"estimated":[84,88],"are":[90],"used":[91],"build":[93],"stabilizing":[95],"feedback":[96],"law":[98],"such":[99],"that":[100],"closed-loop":[102],"stabilized,":[106],"rejected.":[112]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
