{"id":"https://openalex.org/W1556470466","doi":"https://doi.org/10.23919/ecc.2001.7075936","title":"Parameter-dependent Lyapunov d-stability bound","display_name":"Parameter-dependent Lyapunov d-stability bound","publication_year":2001,"publication_date":"2001-09-01","ids":{"openalex":"https://openalex.org/W1556470466","doi":"https://doi.org/10.23919/ecc.2001.7075936","mag":"1556470466"},"language":"en","primary_location":{"id":"doi:10.23919/ecc.2001.7075936","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2001.7075936","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2001 European Control Conference (ECC)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5033272751","display_name":"Olivier Bachelier","orcid":"https://orcid.org/0000-0002-1655-891X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"O. Bachelier","raw_affiliation_strings":["LAII-ESIP - B&#x00E2;timent de M&#x00E9;canique - 40, av. du Recteur Pineau - 86022 Poitiers CEDEX - France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LAII-ESIP - B&#x00E2;timent de M&#x00E9;canique - 40, av. du Recteur Pineau - 86022 Poitiers CEDEX - France","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049091061","display_name":"Denis Arzelier","orcid":"https://orcid.org/0000-0003-0149-1369"},"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/I190497903","display_name":"Laboratoire d'Analyse et d'Architecture des Syst\u00e8mes","ror":"https://ror.org/03vcm6439","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I190497903","https://openalex.org/I193033237","https://openalex.org/I196454796","https://openalex.org/I205747304","https://openalex.org/I4210095849","https://openalex.org/I4210152422","https://openalex.org/I4210159245","https://openalex.org/I4405258862","https://openalex.org/I4405259414"]},{"id":"https://openalex.org/I4210107416","display_name":"Roche (France)","ror":"https://ror.org/01mqmer16","country_code":"FR","type":"company","lineage":["https://openalex.org/I118019719","https://openalex.org/I4210107416"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"D. Arzelier","raw_affiliation_strings":["LAAS-CNRS - 7, av. du Colonel Roche-31077 Toulouse CEDEX 4 - France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LAAS-CNRS - 7, av. du Colonel Roche-31077 Toulouse CEDEX 4 - France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I190497903","https://openalex.org/I4210107416"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043595448","display_name":"Dimitri Peaucelle","orcid":"https://orcid.org/0000-0002-2640-2003"},"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/I190497903","display_name":"Laboratoire d'Analyse et d'Architecture des Syst\u00e8mes","ror":"https://ror.org/03vcm6439","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I190497903","https://openalex.org/I193033237","https://openalex.org/I196454796","https://openalex.org/I205747304","https://openalex.org/I4210095849","https://openalex.org/I4210152422","https://openalex.org/I4210159245","https://openalex.org/I4405258862","https://openalex.org/I4405259414"]},{"id":"https://openalex.org/I4210107416","display_name":"Roche (France)","ror":"https://ror.org/01mqmer16","country_code":"FR","type":"company","lineage":["https://openalex.org/I118019719","https://openalex.org/I4210107416"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"D. Peaucelle","raw_affiliation_strings":["LAAS-CNRS - 7, av. du Colonel Roche-31077 Toulouse CEDEX 4 - France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LAAS-CNRS - 7, av. du Colonel Roche-31077 Toulouse CEDEX 4 - France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I190497903","https://openalex.org/I4210107416"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"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":0.9998999834060669,"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":0.9998999834060669,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9936000108718872,"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/T11236","display_name":"Control Systems and Identification","score":0.992900013923645,"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/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6357799768447876},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6056776642799377},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.6044607162475586},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5632078647613525},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5274981260299683},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5259364247322083},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.5024518966674805},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.47115981578826904},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4625268578529358},{"id":"https://openalex.org/keywords/lyapunov-equation","display_name":"Lyapunov equation","score":0.44343847036361694},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.43003350496292114},{"id":"https://openalex.org/keywords/lyapunov-stability","display_name":"Lyapunov stability","score":0.4210851788520813},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.40408623218536377},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3613264858722687},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2997327446937561},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.10578155517578125},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10262289643287659},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10236969590187073},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.07805544137954712},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06989765167236328},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0653490424156189}],"concepts":[{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6357799768447876},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6056776642799377},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.6044607162475586},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5632078647613525},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5274981260299683},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5259364247322083},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.5024518966674805},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.47115981578826904},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4625268578529358},{"id":"https://openalex.org/C25854792","wikidata":"https://www.wikidata.org/wiki/Q1028945","display_name":"Lyapunov equation","level":4,"score":0.44343847036361694},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.43003350496292114},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.4210851788520813},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.40408623218536377},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3613264858722687},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2997327446937561},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.10578155517578125},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10262289643287659},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10236969590187073},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.07805544137954712},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06989765167236328},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0653490424156189},{"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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.0},{"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.23919/ecc.2001.7075936","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2001.7075936","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2001 European Control Conference (ECC)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-03674032v1","is_oa":false,"landing_page_url":"https://hal.science/hal-03674032","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proc. European Control Conference (ECC 2001), Sep 2001, Porto, Portugal. &#x27E8;10.23919/ECC.2001.7075936&#x27E9;","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W138934107","https://openalex.org/W816406765","https://openalex.org/W1547135986","https://openalex.org/W1976286176","https://openalex.org/W1985763173","https://openalex.org/W2000990668","https://openalex.org/W2035136053","https://openalex.org/W2051114549","https://openalex.org/W2094973444","https://openalex.org/W2116676017","https://openalex.org/W2171304995","https://openalex.org/W2172289902","https://openalex.org/W2619828752"],"related_works":["https://openalex.org/W2284157877","https://openalex.org/W2349796700","https://openalex.org/W2383986032","https://openalex.org/W2030955003","https://openalex.org/W1789972284","https://openalex.org/W2374426356","https://openalex.org/W2059628530","https://openalex.org/W2164487476","https://openalex.org/W1979419366","https://openalex.org/W2534107666"],"abstract_inverted_index":{"The":[0],"problem":[1],"of":[2,17],"robust":[3,36],"matrix":[4,22,37],"root-clustering":[5],"against":[6],"additive":[7],"structured":[8],"uncertainty":[9,19,44],"is":[10,24,45,48],"addressed.":[11],"A":[12,30],"bound":[13],"on":[14],"the":[15,18,51],"size":[16],"domain":[20],"preserving":[21],"D-stability":[23,38],"derived":[25],"from":[26],"an":[27],"LMI":[28],"approach.":[29],"recently":[31],"proposed":[32],"sufficient":[33],"condition":[34],"for":[35],"with":[39,54],"respect":[40],"to":[41,50],"convex":[42],"polytopic":[43],"used.":[46],"It":[47],"relevant":[49],"framework":[52],"dealing":[53],"parameter-dependent":[55],"Lyapunov":[56],"functions.":[57]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
