{"id":"https://openalex.org/W1969726858","doi":"https://doi.org/10.1109/cdc.2011.6160865","title":"Boundary second-order sliding-mode control of an uncertain heat process with spatially varying diffusivity","display_name":"Boundary second-order sliding-mode control of an uncertain heat process with spatially varying diffusivity","publication_year":2011,"publication_date":"2011-12-01","ids":{"openalex":"https://openalex.org/W1969726858","doi":"https://doi.org/10.1109/cdc.2011.6160865","mag":"1969726858"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2011.6160865","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2011.6160865","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Conference on Decision and Control and European Control Conference","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/A5039781735","display_name":"Yury Orlov","orcid":"https://orcid.org/0000-0001-9114-0436"},"institutions":[{"id":"https://openalex.org/I64663401","display_name":"Center for Scientific Research and Higher Education at Ensenada","ror":"https://ror.org/04znhwb73","country_code":"MX","type":"facility","lineage":["https://openalex.org/I64663401"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"Yury Orlov","raw_affiliation_strings":["CICESE, Ensenada, Mexico","CICESE Research Center, Ensenada, Mexico"],"affiliations":[{"raw_affiliation_string":"CICESE, Ensenada, Mexico","institution_ids":["https://openalex.org/I64663401"]},{"raw_affiliation_string":"CICESE Research Center, Ensenada, Mexico","institution_ids":["https://openalex.org/I64663401"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025350316","display_name":"Alessandro Pisano","orcid":"https://orcid.org/0000-0003-2774-626X"},"institutions":[{"id":"https://openalex.org/I172446870","display_name":"University of Cagliari","ror":"https://ror.org/003109y17","country_code":"IT","type":"education","lineage":["https://openalex.org/I172446870"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Alessandro Pisano","raw_affiliation_strings":["Department of Electrical and Electronic Engineering (DIEE), University of Cagliari, Italy","Department of Electrical and Electronic Engineering (DIEE), University of Cagliari, , Italy"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering (DIEE), University of Cagliari, Italy","institution_ids":["https://openalex.org/I172446870"]},{"raw_affiliation_string":"Department of Electrical and Electronic Engineering (DIEE), University of Cagliari, , Italy","institution_ids":["https://openalex.org/I172446870"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024501823","display_name":"Elio Usai","orcid":"https://orcid.org/0000-0001-6338-2593"},"institutions":[{"id":"https://openalex.org/I172446870","display_name":"University of Cagliari","ror":"https://ror.org/003109y17","country_code":"IT","type":"education","lineage":["https://openalex.org/I172446870"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Elio Usai","raw_affiliation_strings":["Department of Electrical and Electronic Engineering (DIEE), University of Cagliari, Italy","Department of Electrical and Electronic Engineering (DIEE), University of Cagliari, , Italy"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering (DIEE), University of Cagliari, Italy","institution_ids":["https://openalex.org/I172446870"]},{"raw_affiliation_string":"Department of Electrical and Electronic Engineering (DIEE), University of Cagliari, , Italy","institution_ids":["https://openalex.org/I172446870"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5039781735"],"corresponding_institution_ids":["https://openalex.org/I64663401"],"apc_list":null,"apc_paid":null,"fwci":1.305,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.83237142,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"15","issue":null,"first_page":"1323","last_page":"1328"},"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":0.9997000098228455,"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":0.9997000098228455,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9945999979972839,"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/T11749","display_name":"Iterative Learning Control Systems","score":0.9934999942779541,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/thermal-diffusivity","display_name":"Thermal diffusivity","score":0.7426552772521973},{"id":"https://openalex.org/keywords/mode","display_name":"Mode (computer interface)","score":0.6122668981552124},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5688003897666931},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.543515682220459},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.528333306312561},{"id":"https://openalex.org/keywords/sliding-mode-control","display_name":"Sliding mode control","score":0.44817978143692017},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.425048828125},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.41936415433883667},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.3826054334640503},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3822101354598999},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3619775176048279},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19198736548423767},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1878109574317932},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15326133370399475},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.13943663239479065},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10026508569717407}],"concepts":[{"id":"https://openalex.org/C37668627","wikidata":"https://www.wikidata.org/wiki/Q3381809","display_name":"Thermal diffusivity","level":2,"score":0.7426552772521973},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.6122668981552124},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5688003897666931},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.543515682220459},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.528333306312561},{"id":"https://openalex.org/C36662352","wikidata":"https://www.wikidata.org/wiki/Q6008560","display_name":"Sliding mode control","level":3,"score":0.44817978143692017},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.425048828125},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.41936415433883667},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3826054334640503},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3822101354598999},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3619775176048279},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19198736548423767},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1878109574317932},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15326133370399475},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.13943663239479065},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10026508569717407},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2011.6160865","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2011.6160865","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Conference on Decision and Control and European Control Conference","raw_type":"proceedings-article"},{"id":"pmh:oai:iris.unica.it:11584/103946","is_oa":false,"landing_page_url":"http://hdl.handle.net/11584/103946","pdf_url":null,"source":{"id":"https://openalex.org/S4377196293","display_name":"UNICA IRIS Institutional Research Information System (University of Cagliari)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I172446870","host_organization_name":"University of Cagliari","host_organization_lineage":["https://openalex.org/I172446870"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W198693488","https://openalex.org/W633013857","https://openalex.org/W1498121547","https://openalex.org/W1519488445","https://openalex.org/W1538686203","https://openalex.org/W1592648094","https://openalex.org/W2018851823","https://openalex.org/W2038424730","https://openalex.org/W2052058856","https://openalex.org/W2052883072","https://openalex.org/W2095117584","https://openalex.org/W2152541396","https://openalex.org/W2154140920","https://openalex.org/W2259424938","https://openalex.org/W2475471768","https://openalex.org/W4234388437","https://openalex.org/W4238000550","https://openalex.org/W6620482650","https://openalex.org/W6630000349","https://openalex.org/W6692604496"],"related_works":["https://openalex.org/W2385382668","https://openalex.org/W2283102826","https://openalex.org/W1974236007","https://openalex.org/W2023596821","https://openalex.org/W2351460627","https://openalex.org/W2100701926","https://openalex.org/W2335514579","https://openalex.org/W2079698632","https://openalex.org/W2188581046","https://openalex.org/W246352078"],"abstract_inverted_index":{"The":[0,21,39,63,112,127],"primary":[1],"concern":[2],"of":[3,10,102,119,129],"the":[4,8,70,76,87,98,103,124,130],"present":[5],"paper":[6],"is":[7,25,49,67,94,114,134],"regulation":[9],"an":[11,28,42],"uncertain":[12,29,54],"heat":[13,23],"process":[14,24,40],"with":[15,35],"collocated":[16],"boundary":[17,37,55],"sensing":[18],"and":[19,48,74,84],"actuation.":[20],"underlying":[22],"governed":[26],"by":[27,51,69,75,116,136],"parabolic":[30],"partial":[31],"differential":[32],"equation":[33],"(PDE)":[34],"mixed":[36],"conditions.":[38],"exhibits":[41],"unknown":[43],"spatially":[44],"varying":[45],"diffusivity":[46],"parameter,":[47],"affected":[50],"a":[52,108,117],"smooth":[53],"disturbance":[56],"which":[57],"is,":[58],"possibly,":[59],"unbounded":[60],"in":[61,86,107],"magnitude.":[62],"proposed":[64],"robust":[65],"synthesis":[66],"formed":[68],"linear":[71],"feedback":[72],"design":[73],"\u201cTwisting\u201d":[77],"second-order":[78],"sliding-mode":[79],"control":[80,132],"algorithm,":[81],"suitably":[82],"combined":[83],"re-worked":[85],"infinite-dimensional":[88],"setting.":[89],"A":[90],"non-standard":[91],"Lyapunov":[92],"functional":[93],"invoked":[95],"to":[96],"prove":[97],"global":[99],"asymptotic":[100],"stability":[101],"resulting":[104],"closed-loop":[105],"system":[106],"suitable":[109],"Sobolev":[110],"space.":[111],"proof":[113],"accompanied":[115],"set":[118],"simple":[120],"tuning":[121],"rules":[122],"for":[123],"controller":[125],"parameters.":[126],"effectiveness":[128],"developed":[131],"scheme":[133],"supported":[135],"simulation":[137],"results.":[138]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}