{"id":"https://openalex.org/W1567374009","doi":"https://doi.org/10.23919/ecc.2009.7074934","title":"A LMI solution to the LQ problem for discrete-time singularly perturbed systems","display_name":"A LMI solution to the LQ problem for discrete-time singularly perturbed systems","publication_year":2009,"publication_date":"2009-08-01","ids":{"openalex":"https://openalex.org/W1567374009","doi":"https://doi.org/10.23919/ecc.2009.7074934","mag":"1567374009"},"language":"en","primary_location":{"id":"doi:10.23919/ecc.2009.7074934","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2009.7074934","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 European Control Conference (ECC)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-00417790","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034878066","display_name":"Ivan Malloci","orcid":null},"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/I4210110792","display_name":"Centre de Recherche en Automatique de Nancy","ror":"https://ror.org/022r5hc56","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210099203","https://openalex.org/I4210100260","https://openalex.org/I4210110792","https://openalex.org/I4210159245","https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Ivan Malloci","raw_affiliation_strings":["Centre de Recherche en Automatique de Nancy, ENSEM, France","Centre de Recherche en Automatique de Nancy, UMR 7039 CNRS - Nancy Universit\u00e9, ENSEM, 2, Avenue de la for\u00eat de Haye 54516 Vandoeuvre-l\u00e8s-Nancy, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre de Recherche en Automatique de Nancy, ENSEM, France","institution_ids":["https://openalex.org/I4210110792"]},{"raw_affiliation_string":"Centre de Recherche en Automatique de Nancy, UMR 7039 CNRS - Nancy Universit\u00e9, ENSEM, 2, Avenue de la for\u00eat de Haye 54516 Vandoeuvre-l\u00e8s-Nancy, France","institution_ids":["https://openalex.org/I4210110792","https://openalex.org/I1294671590"]}]},{"author_position":"middle","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/I4210110792","display_name":"Centre de Recherche en Automatique de Nancy","ror":"https://ror.org/022r5hc56","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210099203","https://openalex.org/I4210100260","https://openalex.org/I4210110792","https://openalex.org/I4210159245","https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jamal Daafouz","raw_affiliation_strings":["Centre de Recherche en Automatique de Nancy, ENSEM, France","Centre de Recherche en Automatique de Nancy, UMR 7039 CNRS - Nancy Universit\u00e9, ENSEM, 2, Avenue de la for\u00eat de Haye 54516 Vandoeuvre-l\u00e8s-Nancy, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre de Recherche en Automatique de Nancy, ENSEM, France","institution_ids":["https://openalex.org/I4210110792"]},{"raw_affiliation_string":"Centre de Recherche en Automatique de Nancy, UMR 7039 CNRS - Nancy Universit\u00e9, ENSEM, 2, Avenue de la for\u00eat de Haye 54516 Vandoeuvre-l\u00e8s-Nancy, France","institution_ids":["https://openalex.org/I4210110792","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023036782","display_name":"Claude Iung","orcid":null},"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/I4210110792","display_name":"Centre de Recherche en Automatique de Nancy","ror":"https://ror.org/022r5hc56","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210099203","https://openalex.org/I4210100260","https://openalex.org/I4210110792","https://openalex.org/I4210159245","https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Claude Iung","raw_affiliation_strings":["Centre de Recherche en Automatique de Nancy, ENSEM, France","Centre de Recherche en Automatique de Nancy, UMR 7039 CNRS - Nancy Universit\u00e9, ENSEM, 2, Avenue de la for\u00eat de Haye 54516 Vandoeuvre-l\u00e8s-Nancy, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre de Recherche en Automatique de Nancy, ENSEM, France","institution_ids":["https://openalex.org/I4210110792"]},{"raw_affiliation_string":"Centre de Recherche en Automatique de Nancy, UMR 7039 CNRS - Nancy Universit\u00e9, ENSEM, 2, Avenue de la for\u00eat de Haye 54516 Vandoeuvre-l\u00e8s-Nancy, France","institution_ids":["https://openalex.org/I4210110792","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087446610","display_name":"R\u00e9mi Bonidal","orcid":null},"institutions":[{"id":"https://openalex.org/I4210114269","display_name":"ArcelorMittal (France)","ror":"https://ror.org/024xs2z82","country_code":"FR","type":"company","lineage":["https://openalex.org/I4210114269","https://openalex.org/I50754188"]},{"id":"https://openalex.org/I50754188","display_name":"ArcelorMittal (Luxembourg)","ror":"https://ror.org/02bez8p50","country_code":"LU","type":"company","lineage":["https://openalex.org/I50754188"]}],"countries":["FR","LU"],"is_corresponding":false,"raw_author_name":"Remi Bonidal","raw_affiliation_strings":["ArcelorMittal Maizi\u00e8res, R&D Industrial Operations, France","ArcelorMittal Maizi\u00e8res, R&D Industrial Operations, BP 30320, F-57283 Maizi\u00e8res-l\u00e8s-Metz Cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ArcelorMittal Maizi\u00e8res, R&D Industrial Operations, France","institution_ids":["https://openalex.org/I50754188"]},{"raw_affiliation_string":"ArcelorMittal Maizi\u00e8res, R&D Industrial Operations, BP 30320, F-57283 Maizi\u00e8res-l\u00e8s-Metz Cedex, France","institution_ids":["https://openalex.org/I4210114269"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.2914,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.88522254,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"3418","last_page":"3423"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9976999759674072,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9976999759674072,"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/T11081","display_name":"Advanced Control Systems Design","score":0.9975000023841858,"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":0.9968000054359436,"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/control-theory","display_name":"Control theory (sociology)","score":0.6882936954498291},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.6663494110107422},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.618488609790802},{"id":"https://openalex.org/keywords/singular-perturbation","display_name":"Singular perturbation","score":0.5937776565551758},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.586898148059845},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5370368957519531},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.5018393993377686},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.480313241481781},{"id":"https://openalex.org/keywords/linear-quadratic-gaussian-control","display_name":"Linear-quadratic-Gaussian control","score":0.43163543939590454},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.42754024267196655},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.410106897354126},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4057159125804901},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.3829832673072815},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36328020691871643},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3244793117046356},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2952900826931},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17246553301811218},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.14021432399749756},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.07156917452812195},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05544543266296387}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6882936954498291},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6663494110107422},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.618488609790802},{"id":"https://openalex.org/C165160513","wikidata":"https://www.wikidata.org/wiki/Q7524249","display_name":"Singular perturbation","level":2,"score":0.5937776565551758},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.586898148059845},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5370368957519531},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.5018393993377686},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.480313241481781},{"id":"https://openalex.org/C204495892","wikidata":"https://www.wikidata.org/wiki/Q1798304","display_name":"Linear-quadratic-Gaussian control","level":3,"score":0.43163543939590454},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.42754024267196655},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.410106897354126},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4057159125804901},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.3829832673072815},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36328020691871643},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3244793117046356},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2952900826931},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17246553301811218},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.14021432399749756},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.07156917452812195},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05544543266296387},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.23919/ecc.2009.7074934","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2009.7074934","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 European Control Conference (ECC)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-00417790v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00417790","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":"10th European Control Conference, ECC'09, Aug 2009, Budapest, Hungary. pp.CDROM","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-00417790v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00417790","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":"10th European Control Conference, ECC'09, Aug 2009, Budapest, Hungary. pp.CDROM","raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1515224583","https://openalex.org/W1547820487","https://openalex.org/W1582448009","https://openalex.org/W1582825494","https://openalex.org/W1980724591","https://openalex.org/W2001828668","https://openalex.org/W2016469624","https://openalex.org/W2026797028","https://openalex.org/W2058045317","https://openalex.org/W2070756668","https://openalex.org/W2084645300","https://openalex.org/W3126060416","https://openalex.org/W3210839039"],"related_works":["https://openalex.org/W1999291921","https://openalex.org/W2107169685","https://openalex.org/W2115005925","https://openalex.org/W4245839115","https://openalex.org/W2111439273","https://openalex.org/W1998777431","https://openalex.org/W2101783086","https://openalex.org/W1986869206","https://openalex.org/W2151481036","https://openalex.org/W2155614410"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"an":[3,44],"alternative":[4],"LMI":[5],"solution":[6],"for":[7,16,30],"the":[8,21,31,50],"linear":[9,18],"quadratic":[10],"optimal":[11],"control":[12,53],"design":[13],"is":[14,27],"proposed":[15],"discrete-time":[17],"systems":[19],"in":[20],"singular":[22],"perturbation":[23],"form.":[24],"This":[25],"approach":[26],"particularly":[28],"adapted":[29],"case":[32],"of":[33,46,54],"high":[34],"dimension":[35],"systems.":[36],"An":[37],"extension":[38],"to":[39,49],"polytopic":[40],"uncertain":[41],"system":[42],"and":[43],"example":[45],"practical":[47],"application":[48],"robust":[51],"steering":[52],"hot":[55],"strip":[56],"mill":[57],"are":[58],"also":[59],"presented.":[60]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}