{"id":"https://openalex.org/W2901443011","doi":"https://doi.org/10.1137/17m1133531","title":"Output Feedback Exponential Stabilization for One-Dimensional Unstable Wave Equations with Boundary Control Matched Disturbance","display_name":"Output Feedback Exponential Stabilization for One-Dimensional Unstable Wave Equations with Boundary Control Matched Disturbance","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2901443011","doi":"https://doi.org/10.1137/17m1133531","mag":"2901443011"},"language":"en","primary_location":{"id":"doi:10.1137/17m1133531","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1133531","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","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/A5027244392","display_name":"Hua\u2010Cheng Zhou","orcid":"https://orcid.org/0000-0001-6856-2358"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hua-Cheng Zhou","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5003773351","display_name":"George H. Weiss","orcid":"https://orcid.org/0000-0002-9524-2795"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"George Weiss","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.2453,"has_fulltext":false,"cited_by_count":56,"citation_normalized_percentile":{"value":0.96124521,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"56","issue":"6","first_page":"4098","last_page":"4129"},"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":0.9848999977111816,"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/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.968999981880188,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"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":0.8273194432258606},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.75951087474823},{"id":"https://openalex.org/keywords/disturbance","display_name":"Disturbance (geology)","score":0.6782418489456177},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6333606243133545},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.5577377676963806},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5458874702453613},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.5286049246788025},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5093749761581421},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.4622158408164978},{"id":"https://openalex.org/keywords/exponential-growth","display_name":"Exponential growth","score":0.4473143517971039},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.43981102108955383},{"id":"https://openalex.org/keywords/neumann-boundary-condition","display_name":"Neumann boundary condition","score":0.42955881357192993},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3818938136100769},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1453007161617279},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1072203516960144},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10470283031463623},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09304583072662354}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8273194432258606},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.75951087474823},{"id":"https://openalex.org/C2777601987","wikidata":"https://www.wikidata.org/wiki/Q5283581","display_name":"Disturbance (geology)","level":2,"score":0.6782418489456177},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6333606243133545},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.5577377676963806},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5458874702453613},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.5286049246788025},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5093749761581421},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4622158408164978},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.4473143517971039},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.43981102108955383},{"id":"https://openalex.org/C163681178","wikidata":"https://www.wikidata.org/wiki/Q1149279","display_name":"Neumann boundary condition","level":3,"score":0.42955881357192993},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3818938136100769},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1453007161617279},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1072203516960144},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10470283031463623},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09304583072662354},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/17m1133531","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1133531","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2480933529","display_name":null,"funder_award_id":"800/14","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1771645225","https://openalex.org/W1965099747","https://openalex.org/W1965490046","https://openalex.org/W2003949276","https://openalex.org/W2004261230","https://openalex.org/W2012226489","https://openalex.org/W2019333520","https://openalex.org/W2025696919","https://openalex.org/W2034923683","https://openalex.org/W2042080864","https://openalex.org/W2049892514","https://openalex.org/W2049959940","https://openalex.org/W2052058856","https://openalex.org/W2060673390","https://openalex.org/W2067780150","https://openalex.org/W2095186356","https://openalex.org/W2097618054","https://openalex.org/W2104319473","https://openalex.org/W2135493101","https://openalex.org/W2149862906","https://openalex.org/W2156052984","https://openalex.org/W2165368325","https://openalex.org/W2168279726","https://openalex.org/W2344594159","https://openalex.org/W2399399193","https://openalex.org/W2529352710","https://openalex.org/W2560060370","https://openalex.org/W2752161554","https://openalex.org/W2766410575","https://openalex.org/W2789899732","https://openalex.org/W3098965773","https://openalex.org/W3101262067"],"related_works":["https://openalex.org/W1504912364","https://openalex.org/W1671909755","https://openalex.org/W2151791215","https://openalex.org/W4394883359","https://openalex.org/W2005786916","https://openalex.org/W1602624896","https://openalex.org/W2379495416","https://openalex.org/W1996632312","https://openalex.org/W2002349705","https://openalex.org/W1519862060"],"abstract_inverted_index":{"We":[0],"study":[1],"the":[2,14,19,26,29,32,36,55,77,82,86,89,97,111,132,151],"output":[3,60,121],"feedback":[4,47,122,133],"exponential":[5],"stabilization":[6],"of":[7,25,31,43,113],"a":[8,44,64],"one-dimensional":[9],"unstable":[10],"wave":[11],"equation,":[12],"where":[13],"boundary":[15,57],"input,":[16],"given":[17],"by":[18,135],"Neumann":[20],"trace":[21],"at":[22],"one":[23],"end":[24],"domain,":[27],"is":[28,41,74,93,107,128,141],"sum":[30],"control":[33],"input":[34],"and":[35,49],"total":[37,83,99,126],"disturbance.":[38,53],"The":[39,125,138],"latter":[40],"composed":[42],"nonlinear":[45],"uncertain":[46],"term":[48],"an":[50,103,119],"external":[51],"bounded":[52],"Using":[54,96],"two":[56],"displacements":[58],"as":[59],"signals,":[61],"we":[62,101,117],"design":[63,102,118],"disturbance":[65,78,84,127],"estimator":[66,79],"that":[67,76,88,149],"does":[68],"not":[69],"use":[70],"high":[71],"gain.":[72],"It":[73],"shown":[75,142],"can":[80],"estimate":[81],"in":[85,94,131],"sense":[87],"estimation":[90],"error":[91],"signal":[92],"$L^2[0,\\infty)$.":[95],"estimated":[98],"disturbance,":[100],"observer":[104],"whose":[105],"state":[106,112],"exponentially":[108,145],"convergent":[109],"to":[110,143],"original":[114],"system.":[115],"Finally,":[116],"observer-based":[120],"stabilizing":[123],"controller.":[124],"approximately":[129],"canceled":[130],"loop":[134],"its":[136],"estimate.":[137],"closed-loop":[139],"system":[140],"be":[144],"stable":[146],"while":[147],"guaranteeing":[148],"all":[150],"internal":[152],"signals":[153],"are":[154],"uniformly":[155],"bounded.":[156]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":11},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":4}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}