{"id":"https://openalex.org/W4385194581","doi":"https://doi.org/10.1109/tac.2023.3298335","title":"Adaptive Boundary Observers for Hyperbolic PDEs With Application to Traffic Flow Estimation","display_name":"Adaptive Boundary Observers for Hyperbolic PDEs With Application to Traffic Flow Estimation","publication_year":2023,"publication_date":"2023-07-24","ids":{"openalex":"https://openalex.org/W4385194581","doi":"https://doi.org/10.1109/tac.2023.3298335"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2023.3298335","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2023.3298335","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/A5015563670","display_name":"Jiahao Wu","orcid":"https://orcid.org/0000-0002-5253-6961"},"institutions":[{"id":"https://openalex.org/I4210100255","display_name":"Beijing Academy of Artificial Intelligence","ror":"https://ror.org/016a74861","country_code":"CN","type":"other","lineage":["https://openalex.org/I4210100255"]},{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jiahao Wu","raw_affiliation_strings":["Faculty of Information Technology, Beijing University of Technology, Beijing, China","Beijing Key Laboratory of Computational Intelligence and Intelligent Systems, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Faculty of Information Technology, Beijing University of Technology, Beijing, China","institution_ids":["https://openalex.org/I37796252"]},{"raw_affiliation_string":"Beijing Key Laboratory of Computational Intelligence and Intelligent Systems, Beijing, China","institution_ids":["https://openalex.org/I4210100255"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008478728","display_name":"Jingyuan Zhan","orcid":"https://orcid.org/0000-0002-6863-9252"},"institutions":[{"id":"https://openalex.org/I4210100255","display_name":"Beijing Academy of Artificial Intelligence","ror":"https://ror.org/016a74861","country_code":"CN","type":"other","lineage":["https://openalex.org/I4210100255"]},{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jingyuan Zhan","raw_affiliation_strings":["Faculty of Information Technology, Beijing University of Technology, Beijing, China","Beijing Key Laboratory of Computational Intelligence and Intelligent Systems, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Faculty of Information Technology, Beijing University of Technology, Beijing, China","institution_ids":["https://openalex.org/I37796252"]},{"raw_affiliation_string":"Beijing Key Laboratory of Computational Intelligence and Intelligent Systems, Beijing, China","institution_ids":["https://openalex.org/I4210100255"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100715058","display_name":"Liguo Zhang","orcid":"https://orcid.org/0000-0002-2705-1399"},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]},{"id":"https://openalex.org/I4210100255","display_name":"Beijing Academy of Artificial Intelligence","ror":"https://ror.org/016a74861","country_code":"CN","type":"other","lineage":["https://openalex.org/I4210100255"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liguo Zhang","raw_affiliation_strings":["Faculty of Information Technology, Beijing University of Technology, Beijing, China","Beijing Key Laboratory of Computational Intelligence and Intelligent Systems, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Faculty of Information Technology, Beijing University of Technology, Beijing, China","institution_ids":["https://openalex.org/I37796252"]},{"raw_affiliation_string":"Beijing Key Laboratory of Computational Intelligence and Intelligent Systems, Beijing, China","institution_ids":["https://openalex.org/I4210100255"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5015563670"],"corresponding_institution_ids":["https://openalex.org/I37796252","https://openalex.org/I4210100255"],"apc_list":null,"apc_paid":null,"fwci":1.8781,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.85504924,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"69","issue":"1","first_page":"651","last_page":"658"},"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":0.9965000152587891,"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":0.9965000152587891,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9937000274658203,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9842000007629395,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/hyperbolic-partial-differential-equation","display_name":"Hyperbolic partial differential equation","score":0.5436540842056274},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4939585328102112},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.48424002528190613},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4743943214416504},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4564317762851715},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.44637569785118103},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4365460276603699},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.41454678773880005},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3323057293891907},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.29288655519485474},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1860586702823639},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.17707940936088562},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13967004418373108}],"concepts":[{"id":"https://openalex.org/C111615704","wikidata":"https://www.wikidata.org/wiki/Q2627459","display_name":"Hyperbolic partial differential equation","level":3,"score":0.5436540842056274},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4939585328102112},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.48424002528190613},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4743943214416504},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4564317762851715},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.44637569785118103},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4365460276603699},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.41454678773880005},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3323057293891907},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.29288655519485474},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1860586702823639},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.17707940936088562},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13967004418373108}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2023.3298335","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2023.3298335","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":[{"id":"https://openalex.org/G3921496925","display_name":null,"funder_award_id":"62273014","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8907370354","display_name":null,"funder_award_id":"U2233211","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/F4320334978","display_name":"Beijing Nova Program","ror":"https://ror.org/034k14f91"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W585700782","https://openalex.org/W1997398744","https://openalex.org/W2029465969","https://openalex.org/W2067603665","https://openalex.org/W2082667250","https://openalex.org/W2111189221","https://openalex.org/W2115778014","https://openalex.org/W2130448123","https://openalex.org/W2162853993","https://openalex.org/W2300133510","https://openalex.org/W2482021336","https://openalex.org/W2492548893","https://openalex.org/W2561400989","https://openalex.org/W2592833078","https://openalex.org/W2753700467","https://openalex.org/W2773342007","https://openalex.org/W2902144114","https://openalex.org/W3000035218","https://openalex.org/W3022016197","https://openalex.org/W3036397324","https://openalex.org/W3095849214","https://openalex.org/W3127892417"],"related_works":["https://openalex.org/W2141232118","https://openalex.org/W2066764747","https://openalex.org/W1508692582","https://openalex.org/W3108245573","https://openalex.org/W2892903805","https://openalex.org/W2044899742","https://openalex.org/W2373567731","https://openalex.org/W2370399136","https://openalex.org/W1979551563","https://openalex.org/W2896088186"],"abstract_inverted_index":{"This":[0],"article":[1],"studies":[2],"the":[3,29,38,50,55,59,66,70,79,92,95,103,110],"problem":[4],"of":[5,13,54,69,85,94],"adaptive":[6,96],"boundary":[7,24,35,72,115],"observer":[8,36,73,80],"design":[9,74],"for":[10],"a":[11,33,83],"class":[12],"linear":[14],"hyperbolic":[15],"partial":[16],"differential":[17],"equations":[18],"(PDEs)":[19],"subject":[20],"to":[21,102],"in-domain":[22,111],"and":[23,114],"parameter":[25,41],"uncertainties.":[26,118],"Based":[27],"on":[28,49],"swapping":[30],"transformation":[31],"technique,":[32],"Luenberger-type":[34],"with":[37],"least":[39],"squares":[40],"estimation":[42,97],"law":[43],"is":[44,76],"designed,":[45],"which":[46],"relies":[47],"only":[48],"measurements":[51],"at":[52],"boundaries":[53],"system.":[56],"By":[57],"employing":[58],"Lyapunov":[60],"function":[61],"method,":[62],"we":[63,90],"prove":[64],"that":[65],"exponential":[67],"convergence":[68],"proposed":[71],"scheme":[75,98],"guaranteed":[77],"when":[78],"gains":[81],"satisfy":[82],"set":[84],"matrix":[86],"inequality":[87],"conditions.":[88],"Finally,":[89],"illustrate":[91],"effectiveness":[93],"by":[99],"applying":[100],"it":[101],"linearized":[104],"Aw\u2013Rascle\u2013Zhang":[105],"traffic":[106],"flow":[107],"model":[108],"involving":[109],"relaxation":[112],"time":[113],"flux":[116],"fluctuation":[117]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
