{"id":"https://openalex.org/W2073676648","doi":"https://doi.org/10.1109/cdc.2012.6426706","title":"Wellposedness and stabilization of a class of infinite dimensional bilinear control systems","display_name":"Wellposedness and stabilization of a class of infinite dimensional bilinear control systems","publication_year":2012,"publication_date":"2012-12-01","ids":{"openalex":"https://openalex.org/W2073676648","doi":"https://doi.org/10.1109/cdc.2012.6426706","mag":"2073676648"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2012.6426706","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2012.6426706","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":"preprint","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/A5015675169","display_name":"Jamal Daafouz","orcid":"https://orcid.org/0000-0001-8313-8790"},"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/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jamal Daafouz","raw_affiliation_strings":["CRAN IUF, UMR 7502, INRIA, Nancy-Universit\u00e9, France","CRAN IUF, UMR 7502, INRIA, Nancy-Universit\u00e9, CNRS, 2 av. de la fort de Haye, 54516 Vandoeuvre-l\u00e8s-Nancy Cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CRAN IUF, UMR 7502, INRIA, Nancy-Universit\u00e9, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"CRAN IUF, UMR 7502, INRIA, Nancy-Universit\u00e9, CNRS, 2 av. de la fort de Haye, 54516 Vandoeuvre-l\u00e8s-Nancy Cedex, France","institution_ids":["https://openalex.org/I90183372","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077663308","display_name":"Marius Tucsnak","orcid":"https://orcid.org/0000-0001-9410-1811"},"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/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I3017839442","display_name":"Institut \u00c9lie Cartan de Lorraine","ror":"https://ror.org/04rvw8791","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I3017839442","https://openalex.org/I4210141950","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Marius Tucsnak","raw_affiliation_strings":["Institut \u00c9lie Cartan, UMR 7502, INRIA, CNRS, Nancy-Universit\u00e9, Vandoeuvre-les-Nancy, France","Institut \u00c9lie Cartan, UMR 7502, INRIA, Nancy-Universit\u00e9, CNRS, POB239, 54506 Vandoeuvre-l\u00e8s-Nancy Cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut \u00c9lie Cartan, UMR 7502, INRIA, CNRS, Nancy-Universit\u00e9, Vandoeuvre-les-Nancy, France","institution_ids":["https://openalex.org/I3017839442","https://openalex.org/I1326498283","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Institut \u00c9lie Cartan, UMR 7502, INRIA, Nancy-Universit\u00e9, CNRS, POB239, 54506 Vandoeuvre-l\u00e8s-Nancy Cedex, France","institution_ids":["https://openalex.org/I90183372","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055249088","display_name":"Julie Valein","orcid":"https://orcid.org/0000-0002-3640-7705"},"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/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I3017839442","display_name":"Institut \u00c9lie Cartan de Lorraine","ror":"https://ror.org/04rvw8791","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I3017839442","https://openalex.org/I4210141950","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Julie Valein","raw_affiliation_strings":["Institut \u00c9lie Cartan, UMR 7502, INRIA, CNRS, Nancy-Universit\u00e9, Vandoeuvre-les-Nancy, France","Institut \u00c9lie Cartan, UMR 7502, INRIA, Nancy-Universit\u00e9, CNRS, POB239, 54506 Vandoeuvre-l\u00e8s-Nancy Cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut \u00c9lie Cartan, UMR 7502, INRIA, CNRS, Nancy-Universit\u00e9, Vandoeuvre-les-Nancy, France","institution_ids":["https://openalex.org/I3017839442","https://openalex.org/I1326498283","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Institut \u00c9lie Cartan, UMR 7502, INRIA, Nancy-Universit\u00e9, CNRS, POB239, 54506 Vandoeuvre-l\u00e8s-Nancy Cedex, France","institution_ids":["https://openalex.org/I90183372","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.14511853,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1560","last_page":"1565"},"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":0.9988999962806702,"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":0.9988999962806702,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.970300018787384,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9610000252723694,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/observability","display_name":"Observability","score":0.8801157474517822},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.700954794883728},{"id":"https://openalex.org/keywords/novelty","display_name":"Novelty","score":0.6603867411613464},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6029984354972839},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5087378621101379},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49610528349876404},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4797864556312561},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.4694133698940277},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.46244341135025024},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.44572320580482483},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.4301849901676178},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4290669858455658},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37986353039741516},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.347112774848938},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3379548490047455},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.09520429372787476},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08071711659431458},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08058851957321167}],"concepts":[{"id":"https://openalex.org/C36299963","wikidata":"https://www.wikidata.org/wiki/Q1369844","display_name":"Observability","level":2,"score":0.8801157474517822},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.700954794883728},{"id":"https://openalex.org/C2778738651","wikidata":"https://www.wikidata.org/wiki/Q16546687","display_name":"Novelty","level":2,"score":0.6603867411613464},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6029984354972839},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5087378621101379},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49610528349876404},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4797864556312561},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.4694133698940277},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.46244341135025024},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.44572320580482483},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.4301849901676178},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4290669858455658},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37986353039741516},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.347112774848938},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3379548490047455},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.09520429372787476},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08071711659431458},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08058851957321167},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C27206212","wikidata":"https://www.wikidata.org/wiki/Q34178","display_name":"Theology","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2012.6426706","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2012.6426706","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":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.5}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1527296550","https://openalex.org/W1573847156","https://openalex.org/W1967967021","https://openalex.org/W2015329535","https://openalex.org/W2095648574","https://openalex.org/W2123046091","https://openalex.org/W2127581631","https://openalex.org/W2134472078"],"related_works":["https://openalex.org/W2046459260","https://openalex.org/W2765830098","https://openalex.org/W2967463586","https://openalex.org/W1971989957","https://openalex.org/W2517338020","https://openalex.org/W3157641275","https://openalex.org/W4312300846","https://openalex.org/W4206221578","https://openalex.org/W3029572990","https://openalex.org/W2615757685"],"abstract_inverted_index":{"We":[0,32],"consider":[1],"a":[2,9,78,85,88,101],"class":[3,19],"of":[4,26,77,80,107,113],"infinite":[5,28],"dimensional":[6,29],"systems":[7],"involving":[8],"control":[10],"function":[11],"u":[12,46],"taking":[13],"values":[14],"in":[15,21,49,95,110],"[0;":[16],"1].":[17],"This":[18],"contains,":[20],"particular,":[22],"the":[23,35,55,64,73,96,111],"average":[24],"models":[25],"some":[27,41],"switched":[30],"systems.":[31],"prove":[33],"that":[34,63,98],"system":[36,56,65],"is":[37,47,66],"well-posed":[38],"and":[39,54,75,104],"obtain":[40],"regularity":[42],"properties.":[43],"Moreover,":[44],"when":[45],"given":[48],"an":[50],"appropriate":[51,58],"feedback":[52],"form":[53],"satisfies":[57],"observability":[59],"assumptions,":[60],"we":[61,99],"show":[62],"weakly":[67],"stable.":[68],"The":[69,91],"main":[70,92],"example":[71],"concerns":[72],"analysis":[74,106],"stabilization":[76],"model":[79],"Boost":[81],"converter":[82],"connected":[83],"to":[84],"load":[86],"via":[87],"transmission":[89],"line.":[90],"novelty":[93],"consists":[94],"fact":[97],"give":[100],"rigorous":[102],"wellposedness":[103],"stability":[105],"coupled":[108],"systems,":[109],"presence":[112],"duty":[114],"cycles.":[115]},"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}