{"id":"https://openalex.org/W2026057392","doi":"https://doi.org/10.1109/acc.2014.6859019","title":"A Lyapunov approach to second-order sliding-mode boundary control of an unstable heat system with spatiotemporal-varying parameters under boundary disturbances","display_name":"A Lyapunov approach to second-order sliding-mode boundary control of an unstable heat system with spatiotemporal-varying parameters under boundary disturbances","publication_year":2014,"publication_date":"2014-06-01","ids":{"openalex":"https://openalex.org/W2026057392","doi":"https://doi.org/10.1109/acc.2014.6859019","mag":"2026057392"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2014.6859019","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2014.6859019","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 American Control Conference","raw_type":"proceedings-article"},"type":"conference-paper","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/A5091298480","display_name":"Meng\u2010Bi Cheng","orcid":null},"institutions":[{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Meng-Bi Cheng","raw_affiliation_strings":["Ohio State University, Columbus, OH, US","Dept. of Electr. & Comput. Eng., Ohio state Univ., Columbus, OH, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ohio State University, Columbus, OH, US","institution_ids":["https://openalex.org/I52357470"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., Ohio state Univ., Columbus, OH, USA","institution_ids":["https://openalex.org/I52357470"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108083055","display_name":"Wu\u2010Chung Su","orcid":null},"institutions":[{"id":"https://openalex.org/I162838928","display_name":"National Chung Hsing University","ror":"https://ror.org/05vn3ca78","country_code":"TW","type":"education","lineage":["https://openalex.org/I162838928"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Wu-Chung Su","raw_affiliation_strings":["National Chung Hsing University, Taichung, TW","Dept. of Electr. Eng., National Chung Hsing Univ., Taichung, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Chung Hsing University, Taichung, TW","institution_ids":["https://openalex.org/I162838928"]},{"raw_affiliation_string":"Dept. of Electr. Eng., National Chung Hsing Univ., Taichung, Taiwan","institution_ids":["https://openalex.org/I162838928"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077015931","display_name":"Verica Radisavljevi\u0107-Gaji\u0107","orcid":"https://orcid.org/0000-0003-0113-6340"},"institutions":[{"id":"https://openalex.org/I7863295","display_name":"Villanova University","ror":"https://ror.org/02g7kd627","country_code":"US","type":"education","lineage":["https://openalex.org/I7863295"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Verica Radisavljevic-Gajic","raw_affiliation_strings":["Villanova University, Villanova, PA, US","Dept. of Mech. Eng., Villanova Univ., Villanova, PA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Villanova University, Villanova, PA, US","institution_ids":["https://openalex.org/I7863295"]},{"raw_affiliation_string":"Dept. of Mech. Eng., Villanova Univ., Villanova, PA, USA","institution_ids":["https://openalex.org/I7863295"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024559779","display_name":"\u00dcmi\u0307t \u00d6zg\u00fcner","orcid":"https://orcid.org/0000-0003-2241-7547"},"institutions":[{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Umit Ozguner","raw_affiliation_strings":["Ohio State University, Columbus, OH, US","Dept. of Electr. & Comput. Eng., Ohio state Univ., Columbus, OH, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ohio State University, Columbus, OH, US","institution_ids":["https://openalex.org/I52357470"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., Ohio state Univ., Columbus, OH, USA","institution_ids":["https://openalex.org/I52357470"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"41","issue":null,"first_page":"4530","last_page":"4535"},"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":0.9965999722480774,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9937000274658203,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/backstepping","display_name":"Backstepping","score":0.7812062501907349},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7474195957183838},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.6094871759414673},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.6052604913711548},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5973441004753113},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.5768951177597046},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5656293630599976},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.4424280524253845},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4359324872493744},{"id":"https://openalex.org/keywords/sliding-mode-control","display_name":"Sliding mode control","score":0.42905133962631226},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.40925654768943787},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.32325389981269836},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.24578604102134705},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19043821096420288},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1205187737941742}],"concepts":[{"id":"https://openalex.org/C72218879","wikidata":"https://www.wikidata.org/wiki/Q4839759","display_name":"Backstepping","level":4,"score":0.7812062501907349},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7474195957183838},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.6094871759414673},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.6052604913711548},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5973441004753113},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.5768951177597046},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5656293630599976},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4424280524253845},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4359324872493744},{"id":"https://openalex.org/C36662352","wikidata":"https://www.wikidata.org/wiki/Q6008560","display_name":"Sliding mode control","level":3,"score":0.42905133962631226},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.40925654768943787},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.32325389981269836},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.24578604102134705},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19043821096420288},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1205187737941742},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2014.6859019","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2014.6859019","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 American Control Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.4300000071525574,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1531155292","https://openalex.org/W1538686203","https://openalex.org/W1966249877","https://openalex.org/W1969944700","https://openalex.org/W2020933799","https://openalex.org/W2052058856","https://openalex.org/W2060032194","https://openalex.org/W2078854980","https://openalex.org/W2119967247","https://openalex.org/W2135669655","https://openalex.org/W2135723016","https://openalex.org/W2499641798","https://openalex.org/W3142078155","https://openalex.org/W4256152864","https://openalex.org/W4256153703","https://openalex.org/W6631848991"],"related_works":["https://openalex.org/W2771027241","https://openalex.org/W1765905465","https://openalex.org/W2793080664","https://openalex.org/W2186140227","https://openalex.org/W2534185822","https://openalex.org/W2036311230","https://openalex.org/W2164703465","https://openalex.org/W2168383058","https://openalex.org/W2143247663","https://openalex.org/W2050693590"],"abstract_inverted_index":{"This":[0],"paper":[1],"considers":[2],"a":[3,29,45,112],"boundary":[4,21,60,77,115,132],"stabilization":[5],"problem":[6],"of":[7,102,121,137,152],"an":[8,57,89],"unstable":[9],"heat":[10],"system":[11,24,97,140],"incorporated":[12],"with":[13,48],"spatial":[14],"and":[15],"temporal":[16],"varying":[17],"coefficients":[18],"subjected":[19],"to":[20,126,130,148],"uncertainties.":[22],"The":[23,65,79,134],"model":[25],"is":[26,63,124,141],"governed":[27],"by":[28,118],"second-order":[30,113],"parabolic":[31],"partial":[32],"differential":[33],"equation":[34],"(PDE).":[35],"By":[36],"taking":[37],"the":[38,53,75,96,103,109,119,128,138,150],"Volterra":[39],"integral":[40],"transformation,":[41],"we":[42],"can":[43,70,83],"obtain":[44],"target":[46],"PDE":[47],"asymptotic":[49],"stability":[50,136],"characteristics":[51],"in":[52,90],"new":[54],"coordinates":[55],"when":[56],"appropriate":[58],"backstepping":[59],"control":[61,68,155],"input":[62],"applied.":[64],"implicated":[66],"backsteeping":[67],"law":[69],"be":[71,85],"further":[72],"integrated":[73],"into":[74],"matched":[76,105,131],"disturbance.":[78,106,133],"associated":[80],"Lyapunov":[81,110],"function":[82],"then":[84],"used":[86],"for":[87],"designing":[88],"nite-dimensional":[91],"sliding":[92],"surface,":[93],"on":[94,108],"which":[95],"exhibits":[98],"exponential":[99],"stability,":[100],"invariant":[101],"bounded":[104],"Based":[107],"method,":[111],"sliding-mode":[114],"control,":[116],"constructed":[117],"integration":[120],"discontinuous":[122],"signal,":[123],"employed":[125],"maintain":[127],"robustness":[129],"closed-loop":[135],"controlled":[139],"also":[142],"verified.":[143],"Simulation":[144],"results":[145],"are":[146],"provided":[147],"demonstrate":[149],"feasibility":[151],"this":[153],"proposed":[154],"scheme.":[156]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
