{"id":"https://openalex.org/W7138920290","doi":"https://doi.org/10.1080/00207179.2026.2645929","title":"Active disturbance rejection control for stabilisation of stochastic nonlinear heat equation with unknown stochastic disturbance","display_name":"Active disturbance rejection control for stabilisation of stochastic nonlinear heat equation with unknown stochastic disturbance","publication_year":2026,"publication_date":"2026-03-19","ids":{"openalex":"https://openalex.org/W7138920290","doi":"https://doi.org/10.1080/00207179.2026.2645929"},"language":"en","primary_location":{"id":"doi:10.1080/00207179.2026.2645929","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2026.2645929","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of 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/A5087428737","display_name":"Baicun Guo","orcid":"https://orcid.org/0000-0002-2755-2687"},"institutions":[{"id":"https://openalex.org/I153473198","display_name":"North China Electric Power University","ror":"https://ror.org/04qr5t414","country_code":"CN","type":"education","lineage":["https://openalex.org/I153473198"]},{"id":"https://openalex.org/I84653119","display_name":"Academia Sinica","ror":"https://ror.org/05bxb3784","country_code":"TW","type":"facility","lineage":["https://openalex.org/I84653119"]}],"countries":["CN","TW"],"is_corresponding":false,"raw_author_name":"Bao-Zhu Guo","raw_affiliation_strings":["Academia Sinica","North China Electric Power University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Academia Sinica","institution_ids":["https://openalex.org/I84653119"]},{"raw_affiliation_string":"North China Electric Power University","institution_ids":["https://openalex.org/I153473198"]}]},{"author_position":"last","author":{"id":null,"display_name":"Xiao-Dong Kang","orcid":"https://orcid.org/0000-0001-6034-1147"},"institutions":[{"id":"https://openalex.org/I153473198","display_name":"North China Electric Power University","ror":"https://ror.org/04qr5t414","country_code":"CN","type":"education","lineage":["https://openalex.org/I153473198"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiao-Dong Kang","raw_affiliation_strings":["North China Electric Power University"],"raw_orcid":"https://orcid.org/0000-0001-6034-1147","affiliations":[{"raw_affiliation_string":"North China Electric Power University","institution_ids":["https://openalex.org/I153473198"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I153473198"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.23285336,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"99","issue":"7","first_page":"2154","last_page":"2167"},"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":0.7811999917030334,"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":0.7811999917030334,"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/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.02370000071823597,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.02280000038444996,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/disturbance","display_name":"Disturbance (geology)","score":0.7792999744415283},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7694000005722046},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6049000024795532},{"id":"https://openalex.org/keywords/active-disturbance-rejection-control","display_name":"Active disturbance rejection control","score":0.4756999909877777},{"id":"https://openalex.org/keywords/heat-equation","display_name":"Heat equation","score":0.4645000100135803},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.4198000133037567},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.3781000077724457}],"concepts":[{"id":"https://openalex.org/C2777601987","wikidata":"https://www.wikidata.org/wiki/Q5283581","display_name":"Disturbance (geology)","level":2,"score":0.7792999744415283},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7694000005722046},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6049000024795532},{"id":"https://openalex.org/C2778072542","wikidata":"https://www.wikidata.org/wiki/Q4677499","display_name":"Active disturbance rejection control","level":4,"score":0.4756999909877777},{"id":"https://openalex.org/C202787564","wikidata":"https://www.wikidata.org/wiki/Q6510488","display_name":"Heat equation","level":2,"score":0.4645000100135803},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.421099990606308},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4198000133037567},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.3781000077724457},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3605000078678131},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.31299999356269836},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.3077000081539154},{"id":"https://openalex.org/C3018651601","wikidata":"https://www.wikidata.org/wiki/Q183635","display_name":"Feedback control","level":2,"score":0.2994999885559082},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.27489998936653137},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.2727999985218048},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.2712000012397766},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.26649999618530273},{"id":"https://openalex.org/C170131372","wikidata":"https://www.wikidata.org/wiki/Q7617811","display_name":"Stochastic control","level":3,"score":0.26339998841285706},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.2583000063896179}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207179.2026.2645929","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2026.2645929","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.5930805206298828}],"awards":[{"id":"https://openalex.org/G621025824","display_name":null,"funder_award_id":"U23B2033","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7270624978","display_name":null,"funder_award_id":"2024YFA1013101","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G7459741091","display_name":null,"funder_award_id":"12131008","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"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W585700782","https://openalex.org/W2019211421","https://openalex.org/W2033458664","https://openalex.org/W2067059420","https://openalex.org/W2106711397","https://openalex.org/W2135493101","https://openalex.org/W2153392494","https://openalex.org/W2403165660","https://openalex.org/W2607112850","https://openalex.org/W2970945705","https://openalex.org/W3000752942","https://openalex.org/W3001650904","https://openalex.org/W3049000493","https://openalex.org/W3102041080","https://openalex.org/W4206318793","https://openalex.org/W4212823143","https://openalex.org/W4226119787","https://openalex.org/W4244636336","https://openalex.org/W4407687682"],"related_works":[],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"introduce":[4],"a":[5,83],"novel":[6],"methodology":[7],"designed":[8],"to":[9,31,45,56,95,125,139],"tackle":[10],"both":[11],"domain":[12],"and":[13,34,111,127],"boundary":[14,47,130],"disturbances":[15,131],"in":[16,37,115,132],"an":[17,72],"unstable":[18,63],"stochastic":[19,38,48,76,84],"nonlinear":[20,39],"heat":[21,40],"equation.":[22,87],"Active":[23],"disturbance":[24,35],"rejection":[25,36],"control":[26,146],"(ADRC)":[27],"has":[28],"been":[29],"employed":[30,55],"achieve":[32],"stabilisation":[33],"equations":[41],"that":[42],"are":[43,137],"subjected":[44],"unknown":[46,129],"disturbances.":[49],"Firstly,":[50],"the":[51,61,67,75,90,97,100,109,112,116,120,141,144],"backstepping":[52,117],"transformation":[53],"is":[54,80,93,123],"suppress":[57],"or":[58],"compensate":[59],"for":[60],"deterministic":[62],"term":[64],"present":[65],"within":[66,108],"domain.":[68],"Subsequently,":[69],"by":[70,105],"leveraging":[71],"averaging":[73],"signal,":[74],"partial":[77],"differential":[78,86],"equation":[79],"converted":[81],"into":[82],"ordinary":[85],"Following":[88],"this,":[89],"Lyapunov":[91],"method":[92,122],"applied":[94],"elucidate":[96],"relationship":[98],"between":[99],"multiplicative":[101],"noise":[102,107],"intensity,":[103],"induced":[104],"white":[106],"domain,":[110],"constant":[113],"incorporated":[114],"transformation.":[118],"Moreover,":[119],"ADRC":[121],"harnessed":[124],"estimate":[126],"eliminate":[128],"real-time.":[133],"Finally,":[134],"numerical":[135],"simulations":[136],"conducted":[138],"validate":[140],"effectiveness":[142],"of":[143],"proposed":[145],"strategy.":[147]},"counts_by_year":[],"updated_date":"2026-08-15T07:11:24.734988","created_date":"2026-03-20T00:00:00"}