{"id":"https://openalex.org/W1973078675","doi":"https://doi.org/10.1109/cdc.2013.6760467","title":"Necessary and sufficient conditions for invariance of convex sets for discrete-time saturated systems","display_name":"Necessary and sufficient conditions for invariance of convex sets for discrete-time saturated systems","publication_year":2013,"publication_date":"2013-12-01","ids":{"openalex":"https://openalex.org/W1973078675","doi":"https://doi.org/10.1109/cdc.2013.6760467","mag":"1973078675"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2013.6760467","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2013.6760467","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"52nd IEEE Conference on Decision and Control","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/A5035566586","display_name":"Mirko Fiacchini","orcid":"https://orcid.org/0000-0002-3601-0302"},"institutions":[{"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":true,"raw_author_name":"Mirko Fiacchini","raw_affiliation_strings":["GIPSA-lab Grenoble Campus, Saint Martin d'H\u00e8res Cedex, France","GIPSA-Lab., St. Martin d'He\u0300res, France"],"affiliations":[{"raw_affiliation_string":"GIPSA-lab Grenoble Campus, Saint Martin d'H\u00e8res Cedex, France","institution_ids":["https://openalex.org/I4210124956"]},{"raw_affiliation_string":"GIPSA-Lab., St. Martin d'He\u0300res, France","institution_ids":["https://openalex.org/I4210124956"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083387069","display_name":"Christophe Prieur","orcid":"https://orcid.org/0000-0002-4456-2019"},"institutions":[{"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":["GIPSA-lab Grenoble Campus, Saint Martin d'H\u00e8res Cedex, France","GIPSA-Lab., St. Martin d'He\u0300res, France"],"affiliations":[{"raw_affiliation_string":"GIPSA-lab Grenoble Campus, Saint Martin d'H\u00e8res Cedex, France","institution_ids":["https://openalex.org/I4210124956"]},{"raw_affiliation_string":"GIPSA-Lab., St. Martin d'He\u0300res, France","institution_ids":["https://openalex.org/I4210124956"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064181963","display_name":"Sophie Tarbouriech","orcid":"https://orcid.org/0000-0002-0816-5614"},"institutions":[{"id":"https://openalex.org/I17866349","display_name":"Universit\u00e9 F\u00e9d\u00e9rale de Toulouse Midi-Pyr\u00e9n\u00e9es","ror":"https://ror.org/004raaa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I17866349"]},{"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/I134560555","https://openalex.org/I190497903","https://openalex.org/I196454796","https://openalex.org/I205747304","https://openalex.org/I205747304","https://openalex.org/I4210095849","https://openalex.org/I4210159245","https://openalex.org/I4387153255","https://openalex.org/I4405258862","https://openalex.org/I4405258862","https://openalex.org/I4405258862","https://openalex.org/I4405258862"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Sophie Tarbouriech","raw_affiliation_strings":["LAAS, Univ de Toulouse, Toulouse, France","LAAS, Toulouse, France"],"affiliations":[{"raw_affiliation_string":"LAAS, Univ de Toulouse, Toulouse, France","institution_ids":["https://openalex.org/I17866349","https://openalex.org/I190497903"]},{"raw_affiliation_string":"LAAS, Toulouse, France","institution_ids":["https://openalex.org/I190497903"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5035566586"],"corresponding_institution_ids":["https://openalex.org/I4210124956"],"apc_list":null,"apc_paid":null,"fwci":0.97664958,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.79454384,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"3788","last_page":"3793"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9995999932289124,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9995999932289124,"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":0.9980000257492065,"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":0.9961000084877014,"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/mathematics","display_name":"Mathematics","score":0.663695752620697},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.6528505086898804},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.6496710777282715},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.6419349908828735},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5657371282577515},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5454512238502502},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5073177218437195},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.48612260818481445},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.4784434139728546},{"id":"https://openalex.org/keywords/convex-combination","display_name":"Convex combination","score":0.46463727951049805},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.43431320786476135},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.42559871077537537},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4051055610179901},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3560197353363037},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1771777868270874},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1258983016014099},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08852589130401611}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.663695752620697},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.6528505086898804},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.6496710777282715},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6419349908828735},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5657371282577515},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5454512238502502},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5073177218437195},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.48612260818481445},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.4784434139728546},{"id":"https://openalex.org/C111110010","wikidata":"https://www.wikidata.org/wiki/Q2627315","display_name":"Convex combination","level":4,"score":0.46463727951049805},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.43431320786476135},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.42559871077537537},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4051055610179901},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3560197353363037},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1771777868270874},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1258983016014099},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08852589130401611},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2013.6760467","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2013.6760467","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"52nd IEEE Conference on Decision and Control","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W618928362","https://openalex.org/W1552488793","https://openalex.org/W1880805667","https://openalex.org/W2001328210","https://openalex.org/W2021660994","https://openalex.org/W2030557882","https://openalex.org/W2056121594","https://openalex.org/W2101787562","https://openalex.org/W2129508431","https://openalex.org/W2133710933","https://openalex.org/W2135169888","https://openalex.org/W2139473006","https://openalex.org/W2140161284","https://openalex.org/W2152754654","https://openalex.org/W4249667877","https://openalex.org/W4302386373"],"related_works":["https://openalex.org/W2142014702","https://openalex.org/W2026600343","https://openalex.org/W2391247224","https://openalex.org/W3083299225","https://openalex.org/W2013655535","https://openalex.org/W2376997122","https://openalex.org/W2133925519","https://openalex.org/W2040676043","https://openalex.org/W2391091101","https://openalex.org/W4256242347"],"abstract_inverted_index":{"A":[0,55],"convex":[1,10,26],"analysis-based":[2],"characterization":[3],"of":[4,8,25,61],"invariance":[5],"and":[6,19,47],"contractivity":[7],"compact":[9],"sets":[11],"for":[12,22,39],"discretetime":[13],"saturated":[14,40],"systems":[15],"is":[16,30],"presented.":[17],"Necessary":[18],"sufficient":[20],"conditions":[21],"the":[23,35,59],"existence":[24],"set-induced":[27],"Lyapunov":[28,37],"functions":[29],"provided.":[31],"The":[32],"results":[33],"generalize":[34],"quadratic":[36],"theory":[38],"systems,":[41],"apply":[42],"also":[43],"to":[44,51,66],"asymmetric":[45],"saturations":[46],"can":[48],"be":[49],"extended":[50],"affine":[52],"nonlinearity":[53],"maps.":[54],"numerical":[56],"example":[57],"illustrates":[58],"improvements":[60],"our":[62],"method":[63],"with":[64],"respect":[65],"other":[67],"classical":[68],"ones.":[69]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
