{"id":"https://openalex.org/W3199518463","doi":"https://doi.org/10.1137/22m1535309","title":"Sliding-Mode Theory Under Feedback Constraints and the Problem of Epidemic Control","display_name":"Sliding-Mode Theory Under Feedback Constraints and the Problem of Epidemic Control","publication_year":2023,"publication_date":"2023-11-15","ids":{"openalex":"https://openalex.org/W3199518463","doi":"https://doi.org/10.1137/22m1535309","mag":"3199518463"},"language":"en","primary_location":{"id":"doi:10.1137/22m1535309","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1535309","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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 Applied Mathematics","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/A5014999817","display_name":"Mauro Bisiacco","orcid":"https://orcid.org/0000-0002-0648-3213"},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Mauro Bisiacco","raw_affiliation_strings":["Department of Information Engineering, University of Padova, 35122 Padova, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Engineering, University of Padova, 35122 Padova, Italy","institution_ids":["https://openalex.org/I138689650"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060156794","display_name":"Gianluigi Pillonetto","orcid":"https://orcid.org/0000-0001-9584-3323"},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Gianluigi Pillonetto","raw_affiliation_strings":["Department of Information Engineering, University of Padova, 35122 Padova, Italy"],"raw_orcid":"https://orcid.org/0000-0001-9584-3323","affiliations":[{"raw_affiliation_string":"Department of Information Engineering, University of Padova, 35122 Padova, Italy","institution_ids":["https://openalex.org/I138689650"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I138689650"],"apc_list":null,"apc_paid":null,"fwci":0.4005,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.51508371,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"83","issue":"6","first_page":"2189","last_page":"2211"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10410","display_name":"COVID-19 epidemiological studies","score":0.9940999746322632,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10410","display_name":"COVID-19 epidemiological studies","score":0.9940999746322632,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9573000073432922,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9562000036239624,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/sliding-mode-control","display_name":"Sliding mode control","score":0.7642873525619507},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.6119430661201477},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6083275675773621},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6016497611999512},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5577945113182068},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.5182904601097107},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4969694912433624},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.4539591372013092},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.43798360228538513},{"id":"https://openalex.org/keywords/mode","display_name":"Mode (computer interface)","score":0.43167775869369507},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42712903022766113},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4246177077293396},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42379963397979736},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.41778406500816345},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.35912007093429565},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09731516242027283},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.08603176474571228},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08192002773284912}],"concepts":[{"id":"https://openalex.org/C36662352","wikidata":"https://www.wikidata.org/wiki/Q6008560","display_name":"Sliding mode control","level":3,"score":0.7642873525619507},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.6119430661201477},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6083275675773621},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6016497611999512},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5577945113182068},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.5182904601097107},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4969694912433624},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.4539591372013092},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.43798360228538513},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.43167775869369507},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42712903022766113},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4246177077293396},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42379963397979736},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.41778406500816345},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.35912007093429565},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09731516242027283},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.08603176474571228},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08192002773284912},{"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/22m1535309","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1535309","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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 Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:www.research.unipd.it:11577/3505951","is_oa":false,"landing_page_url":"https://hdl.handle.net/11577/3505951","pdf_url":null,"source":{"id":"https://openalex.org/S4377196283","display_name":"Research Padua  Archive (University of Padua)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I138689650","host_organization_name":"University of Padua","host_organization_lineage":["https://openalex.org/I138689650"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Good health and well-being","score":0.8299999833106995,"id":"https://metadata.un.org/sdg/3"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":55,"referenced_works":["https://openalex.org/W178056938","https://openalex.org/W1516289514","https://openalex.org/W1516447630","https://openalex.org/W1887006513","https://openalex.org/W1965324089","https://openalex.org/W1982075903","https://openalex.org/W1991038590","https://openalex.org/W2004421225","https://openalex.org/W2016609561","https://openalex.org/W2050840600","https://openalex.org/W2069424479","https://openalex.org/W2092766760","https://openalex.org/W2106109507","https://openalex.org/W2148301044","https://openalex.org/W2164293384","https://openalex.org/W2420367108","https://openalex.org/W2620615827","https://openalex.org/W2758465470","https://openalex.org/W2798813531","https://openalex.org/W2889943889","https://openalex.org/W3006419170","https://openalex.org/W3008028633","https://openalex.org/W3008827533","https://openalex.org/W3009885589","https://openalex.org/W3010466793","https://openalex.org/W3014168137","https://openalex.org/W3018782651","https://openalex.org/W3019643748","https://openalex.org/W3037659556","https://openalex.org/W3038505425","https://openalex.org/W3039090884","https://openalex.org/W3040134252","https://openalex.org/W3048510023","https://openalex.org/W3080179711","https://openalex.org/W3082006452","https://openalex.org/W3100069649","https://openalex.org/W3116104389","https://openalex.org/W3122384271","https://openalex.org/W3126729284","https://openalex.org/W3136214249","https://openalex.org/W3138215393","https://openalex.org/W3157714027","https://openalex.org/W3159755907","https://openalex.org/W3196198498","https://openalex.org/W3197647326","https://openalex.org/W3207925217","https://openalex.org/W3217667718","https://openalex.org/W4223643175","https://openalex.org/W4235143360","https://openalex.org/W4256152864","https://openalex.org/W4256153703","https://openalex.org/W4285265010","https://openalex.org/W4292872153","https://openalex.org/W4295016751","https://openalex.org/W4366816374"],"related_works":["https://openalex.org/W4388311650","https://openalex.org/W1974056099","https://openalex.org/W4245343541","https://openalex.org/W2386077341","https://openalex.org/W563589758","https://openalex.org/W5922282","https://openalex.org/W2954004777","https://openalex.org/W2949638731","https://openalex.org/W5179970","https://openalex.org/W2037277714"],"abstract_inverted_index":{"One":[0],"of":[1,6,10,23,35,49,138,175,192,206,213,236,248],"the":[2,14,21,32,50,59,70,84,125,147,164,186,190,198,204,210,234,244],"most":[3],"important":[4,173],"branches":[5],"nonlinear":[7,176],"control":[8,85,111,133,187,203,216,247],"theory":[9],"dynamical":[11,222],"systems":[12,143,223],"is":[13,20,73,109,159,189],"so-called":[15],"sliding":[16,42,199],"mode.":[17],"Its":[18],"aim":[19],"design":[22],"a":[24,36,40,105,110,136,260],"(nonlinear)":[25],"feedback":[26,71],"law":[27,72],"that":[28,83,130,144],"brings":[29],"and":[30,53,94,127,167,197,229,231],"maintains":[31],"state":[33],"trajectory":[34],"dynamic":[37],"system":[38],"on":[39,233],"given":[41],"surface.":[43],"Here,":[44],"dynamics":[45],"become":[46],"completely":[47],"independent":[48],"model":[51],"parameters":[52],"can":[54],"be":[55,100],"tuned":[56],"accordingly":[57],"to":[58,75,114,163,183,202,219],"desired":[60],"target.":[61],"In":[62,79],"this":[63,67],"paper":[64],"we":[65,81,123],"study":[66,171],"problem":[68],"when":[69],"subject":[74],"strong":[76],"structural":[77],"constraints.":[78],"particular,":[80],"assume":[82],"input":[86,112,188],"may":[87],"take":[88],"values":[89],"only":[90,116,160],"over":[91],"two":[92,118,220],"bounded":[93],"disjoint":[95],"sets.":[96],"Such":[97],"sets":[98],"could":[99],"also":[101,168,254],"not":[102],"perfectly":[103],"known":[104],"priori.":[106],"An":[107],"example":[108],"allowed":[113],"switch":[115],"between":[117],"values.":[119],"Under":[120],"these":[121],"peculiarities,":[122],"derive":[124],"necessary":[126],"sufficient":[128],"conditions":[129],"guarantee":[131],"sliding-mode":[132,215,262],"effectiveness":[134],"for":[135],"class":[137],"time-varying":[139],"continuous":[140],"time":[141],"linear":[142,150,165],"includes":[145],"all":[146],"stationary":[148],"state-space":[149],"models.":[151,177],"Our":[152],"analysis":[153],"covers":[154],"several":[155],"scientific":[156],"fields.":[157],"It":[158],"apparently":[161],"confined":[162],"setting":[166],"allows":[169],"one":[170],"an":[172],"set":[174],"We":[178,208],"describe":[179],"fundamental":[180],"examples":[181],"related":[182],"epidemiology":[184],"where":[185],"level":[191],"contact":[193],"rate":[194],"among":[195],"people":[196],"surface":[200],"permits":[201],"number":[205],"infected.":[207],"prove":[209],"global":[211],"convergence":[212],"epidemic":[214],"schemes":[217],"applied":[218],"popular":[221],"used":[224],"in":[225,243],"epidemiology,":[226],"i.e.,":[227],"SEIR":[228],"SAIR,":[230],"based":[232],"introduction":[235],"severe":[237],"restrictions":[238],"like":[239],"lockdowns.":[240],"Results":[241],"obtained":[242],"literature":[245],"regarding":[246],"many":[249],"other":[250],"epidemiological":[251],"models":[252],"are":[253],"generalized":[255],"by":[256],"casting":[257],"them":[258],"within":[259],"general":[261],"theory.":[263]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
