{"id":"https://openalex.org/W4230782581","doi":"https://doi.org/10.1109/cdc.2012.6427033","title":"Sliding mode and active disturbance rejection control to stabilization of one-dimensional anti-stable wave equations subject to disturbance in boundary input","display_name":"Sliding mode and active disturbance rejection control to stabilization of one-dimensional anti-stable wave equations subject to disturbance in boundary input","publication_year":2012,"publication_date":"2012-12-01","ids":{"openalex":"https://openalex.org/W4230782581","doi":"https://doi.org/10.1109/cdc.2012.6427033"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2012.6427033","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2012.6427033","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-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/A5048424631","display_name":"Bao\u2010Zhu Guo","orcid":"https://orcid.org/0000-0001-9078-0001"},"institutions":[{"id":"https://openalex.org/I192619145","display_name":"University of the Witwatersrand","ror":"https://ror.org/03rp50x72","country_code":"ZA","type":"education","lineage":["https://openalex.org/I192619145"]},{"id":"https://openalex.org/I4210099334","display_name":"Institute of Mathematics, Academia Sinica","ror":"https://ror.org/0120q3031","country_code":"TW","type":"facility","lineage":["https://openalex.org/I4210099334","https://openalex.org/I84653119"]}],"countries":["TW","ZA"],"is_corresponding":false,"raw_author_name":"Bao-Zhu Guo","raw_affiliation_strings":["Academy of Mathematics and Systems Science, Academia Sinica, Beijing, Taiwan","School of Computational and Applied Mathematics, University of the Witwatersrand, Johannesburg, South Africa"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Academy of Mathematics and Systems Science, Academia Sinica, Beijing, Taiwan","institution_ids":["https://openalex.org/I4210099334"]},{"raw_affiliation_string":"School of Computational and Applied Mathematics, University of the Witwatersrand, Johannesburg, South Africa","institution_ids":["https://openalex.org/I192619145"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033131965","display_name":"Feng\u2010Fei Jin","orcid":"https://orcid.org/0000-0001-9448-8630"},"institutions":[{"id":"https://openalex.org/I192619145","display_name":"University of the Witwatersrand","ror":"https://ror.org/03rp50x72","country_code":"ZA","type":"education","lineage":["https://openalex.org/I192619145"]}],"countries":["ZA"],"is_corresponding":false,"raw_author_name":"Feng-Fei Jin","raw_affiliation_strings":["School of Computational and Applied Mathematics, University of the Witwatersrand, Johannesburg, South Africa"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computational and Applied Mathematics, University of the Witwatersrand, Johannesburg, South Africa","institution_ids":["https://openalex.org/I192619145"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026747201","display_name":"Cui\u2010Zhen Yao","orcid":null},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Cui-Zhen Yao","raw_affiliation_strings":["School of Mathematical Sciences, Beijing Institute of Technology, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Beijing Institute of Technology, Beijing, China","institution_ids":["https://openalex.org/I125839683"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.2738,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.90297373,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"1932","issue":null,"first_page":"979","last_page":"984"},"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/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9958000183105469,"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"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9958000183105469,"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/disturbance","display_name":"Disturbance (geology)","score":0.8894820213317871},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.8203800916671753},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5726884603500366},{"id":"https://openalex.org/keywords/sliding-mode-control","display_name":"Sliding mode control","score":0.5534930229187012},{"id":"https://openalex.org/keywords/mode","display_name":"Mode (computer interface)","score":0.5290545225143433},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.43924272060394287},{"id":"https://openalex.org/keywords/active-disturbance-rejection-control","display_name":"Active disturbance rejection control","score":0.41656461358070374},{"id":"https://openalex.org/keywords/subject","display_name":"Subject (documents)","score":0.4154939651489258},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39149296283721924},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.36641061305999756},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.28121280670166016},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2644781768321991},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.16867539286613464},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15573075413703918},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.12419381737709045},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09308284521102905},{"id":"https://openalex.org/keywords/state-observer","display_name":"State observer","score":0.06815895438194275}],"concepts":[{"id":"https://openalex.org/C2777601987","wikidata":"https://www.wikidata.org/wiki/Q5283581","display_name":"Disturbance (geology)","level":2,"score":0.8894820213317871},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8203800916671753},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5726884603500366},{"id":"https://openalex.org/C36662352","wikidata":"https://www.wikidata.org/wiki/Q6008560","display_name":"Sliding mode control","level":3,"score":0.5534930229187012},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.5290545225143433},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.43924272060394287},{"id":"https://openalex.org/C2778072542","wikidata":"https://www.wikidata.org/wiki/Q4677499","display_name":"Active disturbance rejection control","level":4,"score":0.41656461358070374},{"id":"https://openalex.org/C2777855551","wikidata":"https://www.wikidata.org/wiki/Q12310021","display_name":"Subject (documents)","level":2,"score":0.4154939651489258},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39149296283721924},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.36641061305999756},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.28121280670166016},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2644781768321991},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.16867539286613464},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15573075413703918},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.12419381737709045},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09308284521102905},{"id":"https://openalex.org/C3031470","wikidata":"https://www.wikidata.org/wiki/Q818544","display_name":"State observer","level":3,"score":0.06815895438194275},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C161191863","wikidata":"https://www.wikidata.org/wiki/Q199655","display_name":"Library science","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2012.6427033","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2012.6427033","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W203646022","https://openalex.org/W1527296550","https://openalex.org/W1775284658","https://openalex.org/W1969944700","https://openalex.org/W2004261230","https://openalex.org/W2049892514","https://openalex.org/W2052058856","https://openalex.org/W2068189480","https://openalex.org/W2103345351","https://openalex.org/W2116744147","https://openalex.org/W2135723016","https://openalex.org/W2137817450","https://openalex.org/W2232885034","https://openalex.org/W2499641798","https://openalex.org/W6638103771","https://openalex.org/W6677467527"],"related_works":["https://openalex.org/W2038604956","https://openalex.org/W2296560746","https://openalex.org/W2338222801","https://openalex.org/W2347583731","https://openalex.org/W2514087717","https://openalex.org/W4210729524","https://openalex.org/W2991240131","https://openalex.org/W2953358686","https://openalex.org/W2294659156","https://openalex.org/W2353427523"],"abstract_inverted_index":{"We":[0,50],"propose":[1],"two":[2],"strategies":[3],"to":[4,12,55],"stabilize":[5],"a":[6],"one-dimensional":[7],"anti-stable":[8],"wave":[9],"equation":[10],"subject":[11],"boundary":[13],"disturbance,":[14],"namely,":[15],"sliding":[16],"mode":[17],"control":[18,25,81],"(SMC)":[19],"and":[20,31,34,59],"the":[21,32,37,43,57,67,70],"active":[22],"disturbance":[23,58,71],"rejection":[24],"(ADRC).":[26],"The":[27],"finite":[28],"\u201creaching":[29],"condition\u201d,":[30],"existence":[33],"uniqueness":[35],"of":[36,69],"solution":[38],"for":[39,79],"all":[40],"states":[41],"in":[42,46],"state":[44],"space":[45],"SMC":[47],"are":[48,77],"established.":[49],"also":[51,73],"develop":[52],"an":[53],"ADRC":[54],"attenuate":[56],"show":[60],"that":[61],"this":[62],"strategy":[63],"works":[64],"well":[65],"when":[66],"derivative":[68],"is":[72],"bounded.":[74],"Simulation":[75],"examples":[76],"presented":[78],"both":[80],"strategies.":[82]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}