{"id":"https://openalex.org/W4205721768","doi":"https://doi.org/10.1109/tac.2021.3136771","title":"Adaptive Control of Hyperbolic PDEs Coupled With a Disturbed and Highly Uncertain ODE","display_name":"Adaptive Control of Hyperbolic PDEs Coupled With a Disturbed and Highly Uncertain ODE","publication_year":2021,"publication_date":"2021-12-20","ids":{"openalex":"https://openalex.org/W4205721768","doi":"https://doi.org/10.1109/tac.2021.3136771"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2021.3136771","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2021.3136771","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/A5101826516","display_name":"Ji Wang","orcid":"https://orcid.org/0000-0001-5689-1592"},"institutions":[{"id":"https://openalex.org/I191208505","display_name":"Xiamen University","ror":"https://ror.org/00mcjh785","country_code":"CN","type":"education","lineage":["https://openalex.org/I191208505"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ji Wang","raw_affiliation_strings":["Department of Automation, Xiamen University, Xiamen, China"],"raw_orcid":"https://orcid.org/0000-0001-5689-1592","affiliations":[{"raw_affiliation_string":"Department of Automation, Xiamen University, Xiamen, China","institution_ids":["https://openalex.org/I191208505"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007382527","display_name":"Shu\u2010Xia Tang","orcid":"https://orcid.org/0000-0003-4923-592X"},"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":"Shu-Xia Tang","raw_affiliation_strings":["Department of Mechanical Engineering, Texas Tech University, Lubbock, TX, USA"],"raw_orcid":"https://orcid.org/0000-0003-4923-592X","affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Texas Tech University, Lubbock, TX, USA","institution_ids":["https://openalex.org/I12315562"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018293076","display_name":"Miroslav Krsti\u0107","orcid":"https://orcid.org/0000-0002-5523-941X"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Miroslav Krstic","raw_affiliation_strings":["Department of Mechanical and Aerospace Engineering, University of California, San Diego, La Jolla, CA, USA"],"raw_orcid":"https://orcid.org/0000-0002-5523-941X","affiliations":[{"raw_affiliation_string":"Department of Mechanical and Aerospace Engineering, University of California, San Diego, La Jolla, CA, USA","institution_ids":["https://openalex.org/I36258959"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2045,"currency":"USD","value_usd":2045},"apc_paid":null,"fwci":1.1031,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.76039973,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"68","issue":"1","first_page":"108","last_page":"123"},"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":0.9994000196456909,"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":0.9994000196456909,"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/T12206","display_name":"Vibration and Dynamic Analysis","score":0.9994000196456909,"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":0.9894999861717224,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.7976853847503662},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7172999382019043},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.6302325129508972},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5771304368972778},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5555689930915833},{"id":"https://openalex.org/keywords/hyperbolic-partial-differential-equation","display_name":"Hyperbolic partial differential equation","score":0.5504839420318604},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5365303754806519},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.45530930161476135},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.44488340616226196},{"id":"https://openalex.org/keywords/distributed-parameter-system","display_name":"Distributed parameter system","score":0.43167799711227417},{"id":"https://openalex.org/keywords/vibration","display_name":"Vibration","score":0.4155847430229187},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.410871684551239},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3513088822364807},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.34278959035873413},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23542135953903198},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.13571211695671082},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11280667781829834}],"concepts":[{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.7976853847503662},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7172999382019043},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.6302325129508972},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5771304368972778},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5555689930915833},{"id":"https://openalex.org/C111615704","wikidata":"https://www.wikidata.org/wiki/Q2627459","display_name":"Hyperbolic partial differential equation","level":3,"score":0.5504839420318604},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5365303754806519},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.45530930161476135},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.44488340616226196},{"id":"https://openalex.org/C112714845","wikidata":"https://www.wikidata.org/wiki/Q1482001","display_name":"Distributed parameter system","level":3,"score":0.43167799711227417},{"id":"https://openalex.org/C198394728","wikidata":"https://www.wikidata.org/wiki/Q3695508","display_name":"Vibration","level":2,"score":0.4155847430229187},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.410871684551239},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3513088822364807},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.34278959035873413},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23542135953903198},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.13571211695671082},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11280667781829834},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2021.3136771","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2021.3136771","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W41449775","https://openalex.org/W1982676273","https://openalex.org/W1990834757","https://openalex.org/W2013114641","https://openalex.org/W2019091709","https://openalex.org/W2025744487","https://openalex.org/W2027834550","https://openalex.org/W2036900764","https://openalex.org/W2067400662","https://openalex.org/W2068710662","https://openalex.org/W2081529445","https://openalex.org/W2082504179","https://openalex.org/W2140122171","https://openalex.org/W2224750052","https://openalex.org/W2529757039","https://openalex.org/W2547120152","https://openalex.org/W2560347446","https://openalex.org/W2611654829","https://openalex.org/W2615643959","https://openalex.org/W2746983052","https://openalex.org/W2766793331","https://openalex.org/W2766873542","https://openalex.org/W2800131576","https://openalex.org/W2806428426","https://openalex.org/W2893744582","https://openalex.org/W2916499232","https://openalex.org/W2963192578","https://openalex.org/W2986847264","https://openalex.org/W3042397952","https://openalex.org/W3045828772","https://openalex.org/W3046541967","https://openalex.org/W3047513975"],"related_works":["https://openalex.org/W3082668976","https://openalex.org/W2517973022","https://openalex.org/W1543121148","https://openalex.org/W1580703421","https://openalex.org/W2996841952","https://openalex.org/W2618518959","https://openalex.org/W2231364979","https://openalex.org/W4295745414","https://openalex.org/W4288093367","https://openalex.org/W4382202915"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"we":[3],"address":[4],"adaptive":[5],"output-feedback":[6],"boundary":[7,27],"control":[8],"of":[9,47,58,65,79,113,122],"coupled":[10,29],"hyperbolic":[11],"partial":[12],"differential":[13,34],"equations":[14],"(PDEs)":[15],"with":[16,30,105],"spatially":[17],"varying":[18],"coefficients":[19],"and":[20,44,62,91,103,108],"on":[21],"a":[22,31,80,98],"time-varying":[23],"domain,":[24],"whose":[25],"uncontrolled":[26],"is":[28,73,95,117],"disturbed":[32],"ordinary":[33],"equation":[35],"(ODE),":[36],"where":[37,84],"multiple":[38],"parameters":[39],"in":[40,119],"the":[41,45,48,59,63,66,85,89,92,114,120,123],"state":[42,61],"matrix":[43],"amplitudes":[46],"harmonic":[49],"disturbance":[50],"are":[51,69],"unknown.":[52],"The":[53,111],"asymptotic":[54],"convergence":[55],"to":[56],"zero":[57],"ODE":[60],"boundedness":[64],"PDE":[67],"states":[68],"ensured.":[70],"This":[71],"article":[72],"motivated":[74],"by":[75,127],"lateral":[76],"vibration":[77],"suppression":[78],"mining":[81,124],"cable":[82,125],"elevator,":[83],"interaction":[86],"dynamics":[87],"between":[88],"cage":[90],"flexible":[93],"guide":[94],"approximated":[96],"as":[97],"viscoelastic":[99],"system,":[100],"including":[101],"spring":[102],"damping,":[104],"unknown":[106],"stiffness":[107],"damping":[109],"coefficients.":[110],"performance":[112],"proposed":[115],"controller":[116],"tested":[118],"application":[121],"elevator":[126],"numerical":[128],"simulation.":[129]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1}],"updated_date":"2026-08-28T12:50:07.497085","created_date":"2025-10-10T00:00:00"}