{"id":"https://openalex.org/W1576656839","doi":"https://doi.org/10.1109/cdc.2002.1184723","title":"\"Bi-polytopic\" Lyapunov functions for robust stability and fragility analysis of discrete-time models","display_name":"\"Bi-polytopic\" Lyapunov functions for robust stability and fragility analysis of discrete-time models","publication_year":2003,"publication_date":"2003-08-27","ids":{"openalex":"https://openalex.org/W1576656839","doi":"https://doi.org/10.1109/cdc.2002.1184723","mag":"1576656839"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2002.1184723","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2002.1184723","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 41st IEEE Conference on Decision and Control, 2002.","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/A5107915933","display_name":"J\u00e9r\u00f4me Bosche","orcid":null},"institutions":[{"id":"https://openalex.org/I4210116740","display_name":"Laboratoire d'Informatique et d'Automatique pour les Syst\u00e8mes","ror":"https://ror.org/02b5vq778","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210113334","https://openalex.org/I4210116740","https://openalex.org/I4210139971"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"J. Bosche","raw_affiliation_strings":["LAII-ESIP, Poitiers, France","Laboratoire d'Automatique et d'Informatique Industrielle"],"affiliations":[{"raw_affiliation_string":"LAII-ESIP, Poitiers, France","institution_ids":[]},{"raw_affiliation_string":"Laboratoire d'Automatique et d'Informatique Industrielle","institution_ids":["https://openalex.org/I4210116740"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033272751","display_name":"Olivier Bachelier","orcid":"https://orcid.org/0000-0002-1655-891X"},"institutions":[{"id":"https://openalex.org/I2802436485","display_name":"Earth Science Information Partners","ror":"https://ror.org/03q5xa910","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I2802436485"]},{"id":"https://openalex.org/I4210116740","display_name":"Laboratoire d'Informatique et d'Automatique pour les Syst\u00e8mes","ror":"https://ror.org/02b5vq778","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210113334","https://openalex.org/I4210116740","https://openalex.org/I4210139971"]}],"countries":["FR","US"],"is_corresponding":false,"raw_author_name":"O. Bachelier","raw_affiliation_strings":["ZLA11-ESIP, France","Laboratoire d'Automatique et d'Informatique Industrielle"],"affiliations":[{"raw_affiliation_string":"ZLA11-ESIP, France","institution_ids":["https://openalex.org/I2802436485"]},{"raw_affiliation_string":"Laboratoire d'Automatique et d'Informatique Industrielle","institution_ids":["https://openalex.org/I4210116740"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5107915933"],"corresponding_institution_ids":["https://openalex.org/I4210116740"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.0538138,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2","issue":null,"first_page":"1453","last_page":"1458"},"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":0.9998000264167786,"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":0.9998000264167786,"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":0.998199999332428,"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":0.9934999942779541,"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/fragility","display_name":"Fragility","score":0.7734619379043579},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.7558072209358215},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6465225219726562},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5788227319717407},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.539622962474823},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.537663996219635},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.5042146444320679},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5004725456237793},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.47055768966674805},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.41084861755371094},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.37707576155662537},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33141785860061646},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32949936389923096},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2825150489807129},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.2017078697681427},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.12618833780288696},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.11247548460960388}],"concepts":[{"id":"https://openalex.org/C80191262","wikidata":"https://www.wikidata.org/wiki/Q5477668","display_name":"Fragility","level":2,"score":0.7734619379043579},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.7558072209358215},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6465225219726562},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5788227319717407},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.539622962474823},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.537663996219635},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.5042146444320679},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5004725456237793},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.47055768966674805},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.41084861755371094},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37707576155662537},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33141785860061646},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32949936389923096},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2825150489807129},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.2017078697681427},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.12618833780288696},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.11247548460960388},{"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/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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/C147789679","wikidata":"https://www.wikidata.org/wiki/Q11372","display_name":"Physical chemistry","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2002.1184723","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2002.1184723","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 41st IEEE Conference on Decision and Control, 2002.","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-03702451v1","is_oa":false,"landing_page_url":"https://hal.science/hal-03702451","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. Conference on Decision and Control (CDC 2002), Dec 2002, Las Vegas,USA, United States. &#x27E8;10.1109/CDC.2002.1184723&#x27E9;","raw_type":"Conference papers"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.8100000023841858}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1995445329","https://openalex.org/W2005197166","https://openalex.org/W2034539682","https://openalex.org/W2035136053","https://openalex.org/W2042741865","https://openalex.org/W2051114549","https://openalex.org/W2073514351","https://openalex.org/W2091348879","https://openalex.org/W2099303527","https://openalex.org/W2110331379","https://openalex.org/W2116676017","https://openalex.org/W2149792558","https://openalex.org/W2170157324","https://openalex.org/W2171222770","https://openalex.org/W3210839039","https://openalex.org/W4233468017","https://openalex.org/W4235661195"],"related_works":["https://openalex.org/W1979571865","https://openalex.org/W4283651292","https://openalex.org/W2079972888","https://openalex.org/W2982196623","https://openalex.org/W1505219605","https://openalex.org/W3101696972","https://openalex.org/W4293569367","https://openalex.org/W1990502710","https://openalex.org/W2159479095","https://openalex.org/W2151481036"],"abstract_inverted_index":{"International":[0],"audience":[1]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
