{"id":"https://openalex.org/W4315472070","doi":"https://doi.org/10.1109/cdc51059.2022.9993082","title":"Global exponential set-point regulation for linear operator semigroups with input saturation","display_name":"Global exponential set-point regulation for linear operator semigroups with input saturation","publication_year":2022,"publication_date":"2022-12-06","ids":{"openalex":"https://openalex.org/W4315472070","doi":"https://doi.org/10.1109/cdc51059.2022.9993082"},"language":"en","primary_location":{"id":"doi:10.1109/cdc51059.2022.9993082","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc51059.2022.9993082","pdf_url":null,"source":{"id":"https://openalex.org/S4363607710","display_name":"2022 IEEE 61st Conference on Decision and Control (CDC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE 61st Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-04005700","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074286208","display_name":"Daniele Astolfi","orcid":"https://orcid.org/0000-0003-2690-7420"},"institutions":[{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I4210143168","display_name":"Automation and Process Engineering Laboratory","ror":"https://ror.org/03kfjwy31","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I1294671590","https://openalex.org/I203339264","https://openalex.org/I4210095849","https://openalex.org/I4210143168","https://openalex.org/I59692284"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Daniele Astolfi","raw_affiliation_strings":["Univer-sité Claude Bernard Lyon 1, CNRS, LAGEPP UMR 5007,Univ Lyon,Villeurbanne,France,F-69100"],"affiliations":[{"raw_affiliation_string":"Univer-sité Claude Bernard Lyon 1, CNRS, LAGEPP UMR 5007,Univ Lyon,Villeurbanne,France,F-69100","institution_ids":["https://openalex.org/I4210143168","https://openalex.org/I100532134","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043449102","display_name":"Swann Marx","orcid":"https://orcid.org/0000-0002-0722-3560"},"institutions":[{"id":"https://openalex.org/I100445878","display_name":"\u00c9cole Centrale de Nantes","ror":"https://ror.org/03nh7d505","country_code":"FR","type":"education","lineage":["https://openalex.org/I100445878","https://openalex.org/I97188460"]},{"id":"https://openalex.org/I4210117005","display_name":"Laboratoire des Sciences du Num\u00e9rique de Nantes","ror":"https://ror.org/02snf8m58","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100445878","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I205703379","https://openalex.org/I4210117005","https://openalex.org/I4210124215","https://openalex.org/I4210127572","https://openalex.org/I4210139971","https://openalex.org/I97188460","https://openalex.org/I97188460"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Swann Marx","raw_affiliation_strings":["École Centrale de Nantes & CNRS UMR 6004,LS2N,Nantes,France,F-44000"],"affiliations":[{"raw_affiliation_string":"École Centrale de Nantes & CNRS UMR 6004,LS2N,Nantes,France,F-44000","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210117005","https://openalex.org/I100445878"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082790000","display_name":"Vincent Andrieu","orcid":"https://orcid.org/0000-0003-1877-6205"},"institutions":[{"id":"https://openalex.org/I4210143168","display_name":"Automation and Process Engineering Laboratory","ror":"https://ror.org/03kfjwy31","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I1294671590","https://openalex.org/I203339264","https://openalex.org/I4210095849","https://openalex.org/I4210143168","https://openalex.org/I59692284"]},{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Vincent Andrieu","raw_affiliation_strings":["Univer-sité Claude Bernard Lyon 1, CNRS, LAGEPP UMR 5007,Univ Lyon,Villeurbanne,France,F-69100"],"affiliations":[{"raw_affiliation_string":"Univer-sité Claude Bernard Lyon 1, CNRS, LAGEPP UMR 5007,Univ Lyon,Villeurbanne,France,F-69100","institution_ids":["https://openalex.org/I4210143168","https://openalex.org/I100532134","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083387069","display_name":"Christophe Prieur","orcid":"https://orcid.org/0000-0002-4456-2019"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]},{"id":"https://openalex.org/I106785703","display_name":"Institut polytechnique de Grenoble","ror":"https://ror.org/05sbt2524","country_code":"FR","type":"education","lineage":["https://openalex.org/I106785703","https://openalex.org/I899635006"]},{"id":"https://openalex.org/I4210124956","display_name":"GIPSA-Lab","ror":"https://ror.org/02wrme198","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I4210124956","https://openalex.org/I899635006","https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Christophe Prieur","raw_affiliation_strings":["CNRS, Grenoble-INP, GIPSA-lab,Univ. Grenoble Alpes,Grenoble,France,F-38000"],"affiliations":[{"raw_affiliation_string":"CNRS, Grenoble-INP, GIPSA-lab,Univ. Grenoble Alpes,Grenoble,France,F-38000","institution_ids":["https://openalex.org/I106785703","https://openalex.org/I4210124956","https://openalex.org/I899635006","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5074286208"],"corresponding_institution_ids":["https://openalex.org/I100532134","https://openalex.org/I1294671590","https://openalex.org/I4210143168"],"apc_list":null,"apc_paid":null,"fwci":1.4177,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.83023606,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"7358","last_page":"7363"},"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9987999796867371,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9986000061035156,"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/exponential-stability","display_name":"Exponential stability","score":0.7854290008544922},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6130598783493042},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5738670825958252},{"id":"https://openalex.org/keywords/saturation","display_name":"Saturation (graph theory)","score":0.5438554286956787},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5103372931480408},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.48818761110305786},{"id":"https://openalex.org/keywords/set-point","display_name":"Set point","score":0.4863779842853546},{"id":"https://openalex.org/keywords/exponential-growth","display_name":"Exponential growth","score":0.4748784899711609},{"id":"https://openalex.org/keywords/equilibrium-point","display_name":"Equilibrium point","score":0.4742293059825897},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4341665506362915},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4337106943130493},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3386901021003723},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.31809449195861816},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2277662456035614},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.20411592721939087},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12696033716201782},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.0860409140586853}],"concepts":[{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.7854290008544922},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6130598783493042},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5738670825958252},{"id":"https://openalex.org/C9930424","wikidata":"https://www.wikidata.org/wiki/Q7426587","display_name":"Saturation (graph theory)","level":2,"score":0.5438554286956787},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5103372931480408},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.48818761110305786},{"id":"https://openalex.org/C2993627981","wikidata":"https://www.wikidata.org/wiki/Q7456295","display_name":"Set point","level":2,"score":0.4863779842853546},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.4748784899711609},{"id":"https://openalex.org/C94766913","wikidata":"https://www.wikidata.org/wiki/Q1530271","display_name":"Equilibrium point","level":3,"score":0.4742293059825897},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4341665506362915},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4337106943130493},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3386901021003723},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.31809449195861816},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2277662456035614},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.20411592721939087},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12696033716201782},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0860409140586853},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","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/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc51059.2022.9993082","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc51059.2022.9993082","pdf_url":null,"source":{"id":"https://openalex.org/S4363607710","display_name":"2022 IEEE 61st Conference on Decision and Control (CDC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE 61st Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-04005700v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04005700","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://ieeecss.org/event/61st-conference-decision-and-control","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-04005700v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04005700","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://ieeecss.org/event/61st-conference-decision-and-control","raw_type":"Conference papers"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W618928362","https://openalex.org/W1527296550","https://openalex.org/W2036896457","https://openalex.org/W2042179650","https://openalex.org/W2055290860","https://openalex.org/W2086906338","https://openalex.org/W2112562680","https://openalex.org/W2142435133","https://openalex.org/W2189971956","https://openalex.org/W2198472822","https://openalex.org/W2761048777","https://openalex.org/W2900809057","https://openalex.org/W2964160310","https://openalex.org/W2978848609","https://openalex.org/W2994113221","https://openalex.org/W2996462518","https://openalex.org/W3041803889","https://openalex.org/W3047513975","https://openalex.org/W3106150653","https://openalex.org/W3114305039","https://openalex.org/W3216332489","https://openalex.org/W4221157975","https://openalex.org/W4248729779","https://openalex.org/W4385875966"],"related_works":["https://openalex.org/W1978738522","https://openalex.org/W1504912364","https://openalex.org/W2095028518","https://openalex.org/W1671909755","https://openalex.org/W2377228964","https://openalex.org/W2151791215","https://openalex.org/W2059311322","https://openalex.org/W2005786916","https://openalex.org/W2536963663","https://openalex.org/W2057482994"],"abstract_inverted_index":{"In":[0],"this":[1,49],"paper":[2],"the":[3,19,39,46,59,66],"problem":[4],"of":[5,8,16,18,48,61,65,68,71],"set-point":[6],"regulation":[7,50],"linear":[9],"operator":[10],"semigroups":[11],"is":[12,23],"considered,":[13],"in":[14],"presence":[15],"saturation":[17],"control":[20],"input.":[21],"It":[22],"shown":[24],"how":[25],"global":[26,62],"exponential":[27,63],"stability":[28,64],"can":[29],"still":[30],"be":[31],"obtained":[32],"by":[33],"adding":[34],"an":[35],"anti-windup":[36],"loop":[37],"to":[38,58],"integral":[40],"action.":[41],"As":[42],"first":[43],"contribution":[44],"towards":[45],"solution":[47],"problem,":[51],"we":[52],"give":[53],"some":[54],"new":[55],"results":[56],"related":[57],"characterization":[60],"equilibrium":[67],"a":[69],"subclass":[70],"semi-linear":[72],"dynamical":[73],"systems.":[74]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":2}],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2025-10-10T00:00:00"}