{"id":"https://openalex.org/W4403936818","doi":"https://doi.org/10.1109/tcyb.2024.3485546","title":"Composite Learning Based Adaptive Control of Linear 2 \u00d7 2 Hyperbolic PDE Systems","display_name":"Composite Learning Based Adaptive Control of Linear 2 \u00d7 2 Hyperbolic PDE Systems","publication_year":2024,"publication_date":"2024-10-31","ids":{"openalex":"https://openalex.org/W4403936818","doi":"https://doi.org/10.1109/tcyb.2024.3485546","pmid":"https://pubmed.ncbi.nlm.nih.gov/39480712"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2024.3485546","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2024.3485546","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5100321678","display_name":"Yu Xiao","orcid":"https://orcid.org/0000-0002-3695-6325"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yu Xiao","raw_affiliation_strings":["School of Automation, Central South University, Changsha, China"],"raw_orcid":"https://orcid.org/0000-0002-3695-6325","affiliations":[{"raw_affiliation_string":"School of Automation, Central South University, Changsha, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021559836","display_name":"Yun Feng","orcid":"https://orcid.org/0000-0002-6512-3293"},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yun Feng","raw_affiliation_strings":["College of Electrical and Information Engineering, Hunan University, Changsha, China"],"raw_orcid":"https://orcid.org/0000-0002-6512-3293","affiliations":[{"raw_affiliation_string":"College of Electrical and Information Engineering, Hunan University, Changsha, China","institution_ids":["https://openalex.org/I16609230"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Biao Luo","orcid":"https://orcid.org/0000-0002-3353-2586"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Biao Luo","raw_affiliation_strings":["School of Automation, Central South University, Changsha, China"],"raw_orcid":"https://orcid.org/0000-0002-3353-2586","affiliations":[{"raw_affiliation_string":"School of Automation, Central South University, Changsha, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090216201","display_name":"Han\u2010Xiong Li","orcid":"https://orcid.org/0000-0002-0707-5940"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Hanxiong Li","raw_affiliation_strings":["Department of Systems Engineering, City University of Hong Kong, Hong Kong, China","Department of Systems Engineering, City University of Hong Kong, Hong Kong, Hong Kong"],"raw_orcid":"https://orcid.org/0000-0002-0707-5940","affiliations":[{"raw_affiliation_string":"Department of Systems Engineering, City University of Hong Kong, Hong Kong, China","institution_ids":["https://openalex.org/I168719708"]},{"raw_affiliation_string":"Department of Systems Engineering, City University of Hong Kong, Hong Kong, Hong Kong","institution_ids":["https://openalex.org/I168719708"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018027570","display_name":"Xiaodong Xu","orcid":"https://orcid.org/0000-0003-4795-9967"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaodong Xu","raw_affiliation_strings":["School of Automation, Central South University, Changsha, China"],"raw_orcid":"https://orcid.org/0000-0003-4795-9967","affiliations":[{"raw_affiliation_string":"School of Automation, Central South University, Changsha, China","institution_ids":["https://openalex.org/I139660479"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3724,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.55919692,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"55","issue":"1","first_page":"295","last_page":"306"},"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":0.9656999707221985,"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":0.9656999707221985,"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/composite-number","display_name":"Composite number","score":0.5478371381759644},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.49843859672546387},{"id":"https://openalex.org/keywords/hyperbolic-partial-differential-equation","display_name":"Hyperbolic partial differential equation","score":0.45848602056503296},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.4498729109764099},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41402679681777954},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3801976442337036},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36727648973464966},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.27507323026657104},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2694438099861145},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1621313989162445},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.09568265080451965}],"concepts":[{"id":"https://openalex.org/C104779481","wikidata":"https://www.wikidata.org/wiki/Q50707","display_name":"Composite number","level":2,"score":0.5478371381759644},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.49843859672546387},{"id":"https://openalex.org/C111615704","wikidata":"https://www.wikidata.org/wiki/Q2627459","display_name":"Hyperbolic partial differential equation","level":3,"score":0.45848602056503296},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4498729109764099},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41402679681777954},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3801976442337036},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36727648973464966},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.27507323026657104},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2694438099861145},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1621313989162445},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.09568265080451965}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2024.3485546","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2024.3485546","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","raw_type":"journal-article"},{"id":"pmid:39480712","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/39480712","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on cybernetics","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1765971304","display_name":null,"funder_award_id":"2022YFB3304700","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G1769911756","display_name":null,"funder_award_id":"2022JJ20082","funder_id":"https://openalex.org/F4320322843","funder_display_name":"Natural Science Foundation of\u00a0Hunan Province"},{"id":"https://openalex.org/G6663364906","display_name":null,"funder_award_id":"62473143","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/F4320322843","display_name":"Natural Science Foundation of\u00a0Hunan Province","ror":null},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W648594167","https://openalex.org/W1914756871","https://openalex.org/W1965444311","https://openalex.org/W1966249877","https://openalex.org/W1990834757","https://openalex.org/W2019091709","https://openalex.org/W2031057907","https://openalex.org/W2036900764","https://openalex.org/W2111535365","https://openalex.org/W2115778014","https://openalex.org/W2140122171","https://openalex.org/W2146278934","https://openalex.org/W2178205091","https://openalex.org/W2273466378","https://openalex.org/W2296093392","https://openalex.org/W2344210503","https://openalex.org/W2560618179","https://openalex.org/W2562662766","https://openalex.org/W2584807945","https://openalex.org/W2743764028","https://openalex.org/W2766793331","https://openalex.org/W2773342007","https://openalex.org/W2789185723","https://openalex.org/W2790380585","https://openalex.org/W2803570847","https://openalex.org/W2916499232","https://openalex.org/W2935829912","https://openalex.org/W2965657940","https://openalex.org/W2982570199","https://openalex.org/W3000035218","https://openalex.org/W3115556200","https://openalex.org/W3119188566","https://openalex.org/W4288064866","https://openalex.org/W4310465421","https://openalex.org/W4312222218","https://openalex.org/W4312700838","https://openalex.org/W4312773857","https://openalex.org/W4319990435","https://openalex.org/W4322706752","https://openalex.org/W4360995271","https://openalex.org/W4385574823","https://openalex.org/W4387831878","https://openalex.org/W4388812608","https://openalex.org/W4391020650","https://openalex.org/W4395659134","https://openalex.org/W6856431130"],"related_works":["https://openalex.org/W1982160337","https://openalex.org/W1971380437","https://openalex.org/W1983548084","https://openalex.org/W2141691317","https://openalex.org/W2110846987","https://openalex.org/W2160609742","https://openalex.org/W2979526210","https://openalex.org/W2365574773","https://openalex.org/W1997414638","https://openalex.org/W2131103914"],"abstract_inverted_index":{"This":[0],"article":[1],"considers":[2],"the":[3,36,66,70,89,98,107,113,122,134,139],"adaptive":[4,30,99,141],"stability":[5,105],"control":[6,101,142],"of":[7,10,106,116,138],"a":[8,73,126],"class":[9],"linear":[11,49],"hyperbolic":[12],"PDE":[13,16],"systems.":[14],"The":[15],"model":[17],"is":[18,32,81,130],"subject":[19],"to":[20,64,83,132],"constant":[21],"but":[22],"in-domain":[23],"and":[24,40,50,59,119,136],"boundary":[25],"unknown":[26,57],"parameters.":[27],"A":[28],"novel":[29],"controller":[31],"developed":[33,140],"by":[34],"leveraging":[35],"swapping":[37,46],"design":[38],"technique":[39],"composite":[41,74],"parameter":[42,86,95,110],"learning":[43,75],"law.":[44],"With":[45],"design,":[47],"several":[48],"static":[51,71],"combinations,":[52,72],"including":[53],"carefully":[54],"designed":[55],"filters,":[56],"parameters,":[58],"error":[60],"terms,":[61],"are":[62],"constructed":[63],"express":[65],"system":[67,118],"states.":[68],"From":[69],"based":[76],"forgetting-factor":[77],"least":[78],"squares":[79],"law":[80],"introduced":[82],"guarantee":[84],"exponential":[85,114],"convergence":[87,115],"without":[88],"persistent":[90],"excitation":[91],"(PE).":[92],"Although":[93],"inaccurate":[94],"estimation":[96,111],"in":[97,103],"backstepping":[100],"results":[102],"asymptotic":[104],"system,":[108],"accurate":[109],"ensures":[112],"closed-loop":[117],"concomitantly":[120],"improves":[121],"transient":[123],"performance.":[124],"Finally,":[125],"comparative":[127],"numerical":[128],"simulation":[129],"performed":[131],"validate":[133],"effectiveness":[135],"advantage":[137],"scheme.":[143]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2024-11-01T00:00:00"}
