{"id":"https://openalex.org/W2050257980","doi":"https://doi.org/10.1109/tac.2012.2229813","title":"Dynamic Versus Static Weighting of Lyapunov Functions","display_name":"Dynamic Versus Static Weighting of Lyapunov Functions","publication_year":2012,"publication_date":"2012-11-22","ids":{"openalex":"https://openalex.org/W2050257980","doi":"https://doi.org/10.1109/tac.2012.2229813","mag":"2050257980"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2012.2229813","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2012.2229813","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},"type":"article","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/A5101466166","display_name":"Laurent Praly","orcid":"https://orcid.org/0000-0003-4380-7616"},"institutions":[{"id":"https://openalex.org/I70768539","display_name":"\u00c9cole Nationale Sup\u00e9rieure des Mines de Paris","ror":"https://ror.org/04y8cs423","country_code":"FR","type":"education","lineage":["https://openalex.org/I190752583","https://openalex.org/I2746051580","https://openalex.org/I70768539"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"L. Praly","raw_affiliation_strings":["MINES ParisTech, CAS, Math\u00e9matiques et Syst\u00e8mes, Fontainebleau, France","Math. et Syst., MINES ParisTech, Fontainebleau, France"],"affiliations":[{"raw_affiliation_string":"MINES ParisTech, CAS, Math\u00e9matiques et Syst\u00e8mes, Fontainebleau, France","institution_ids":["https://openalex.org/I70768539"]},{"raw_affiliation_string":"Math. et Syst., MINES ParisTech, Fontainebleau, France","institution_ids":["https://openalex.org/I70768539"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083999378","display_name":"D. Carnevale","orcid":"https://orcid.org/0000-0001-6214-7938"},"institutions":[{"id":"https://openalex.org/I116067653","display_name":"University of Rome Tor Vergata","ror":"https://ror.org/02p77k626","country_code":"IT","type":"education","lineage":["https://openalex.org/I116067653"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"D. Carnevale","raw_affiliation_strings":["Dipartimento di Informatica, Sistemi e Produzione, Universit\u00e0 di Roma Tor Vergata, Rome, Italy","Dipt. di Inf., Sist. e Produzione, Univ. di Roma Tor Vergata, Rome, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Informatica, Sistemi e Produzione, Universit\u00e0 di Roma Tor Vergata, Rome, Italy","institution_ids":["https://openalex.org/I116067653"]},{"raw_affiliation_string":"Dipt. di Inf., Sist. e Produzione, Univ. di Roma Tor Vergata, Rome, Italy","institution_ids":["https://openalex.org/I116067653"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018225150","display_name":"Alessandro Astolfi","orcid":"https://orcid.org/0000-0002-4331-454X"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"A. Astolfi","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Imperial College London, London, U.K","Dept. of Electr. & Electron. Eng., Imperial Coll., London, London, UK"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial College London, London, U.K","institution_ids":["https://openalex.org/I47508984"]},{"raw_affiliation_string":"Dept. of Electr. & Electron. Eng., Imperial Coll., London, London, UK","institution_ids":["https://openalex.org/I47508984"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101466166"],"corresponding_institution_ids":["https://openalex.org/I70768539"],"apc_list":null,"apc_paid":null,"fwci":0.5682,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.7421767,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"58","issue":"6","first_page":"1557","last_page":"1561"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear 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/T10040","display_name":"Adaptive Control of Nonlinear 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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9994000196456909,"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":0.9986000061035156,"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/weighting","display_name":"Weighting","score":0.960680365562439},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.740534782409668},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.6776798367500305},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6574819087982178},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.4977109730243683},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46366432309150696},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43915441632270813},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3942166566848755},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33122748136520386},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2850492000579834},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.09461760520935059},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09099575877189636},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.0896836519241333},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.04956686496734619}],"concepts":[{"id":"https://openalex.org/C183115368","wikidata":"https://www.wikidata.org/wiki/Q856577","display_name":"Weighting","level":2,"score":0.960680365562439},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.740534782409668},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.6776798367500305},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6574819087982178},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.4977109730243683},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46366432309150696},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43915441632270813},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3942166566848755},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33122748136520386},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2850492000579834},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.09461760520935059},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09099575877189636},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0896836519241333},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.04956686496734619},{"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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tac.2012.2229813","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2012.2229813","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.908.6381","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.908.6381","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://cas.ensmp.fr/%7Epraly/Telechargement/Journaux/2013-IEEE_TAC-Praly-Carnevale-Astolfi.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00829856v1","is_oa":false,"landing_page_url":"https://minesparis-psl.hal.science/hal-00829856","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":"IEEE Transactions on Automatic Control, 2013, 58 (6), pp.1557-1561. ⟨10.1109/TAC.2012.2229813⟩","raw_type":"Journal articles"},{"id":"pmh:oai:art.torvergata.it:2108/75308","is_oa":false,"landing_page_url":"http://hdl.handle.net/2108/75308","pdf_url":null,"source":{"id":"https://openalex.org/S4306400993","display_name":"Cineca Institutional Research Information System (Tor Vergata University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I116067653","host_organization_name":"University of Rome Tor Vergata","host_organization_lineage":["https://openalex.org/I116067653"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1574639858","https://openalex.org/W1611538460","https://openalex.org/W1970832114","https://openalex.org/W2027903619","https://openalex.org/W2041076275","https://openalex.org/W2045909805","https://openalex.org/W2045945087","https://openalex.org/W2071367014","https://openalex.org/W2090167557","https://openalex.org/W2097809993","https://openalex.org/W2098989671","https://openalex.org/W2101452290","https://openalex.org/W2102207581","https://openalex.org/W2116046005","https://openalex.org/W2125600247","https://openalex.org/W2134839215","https://openalex.org/W2135018259","https://openalex.org/W2159130301","https://openalex.org/W2162549367","https://openalex.org/W2163313703","https://openalex.org/W2163344855","https://openalex.org/W2171649678","https://openalex.org/W2176198718","https://openalex.org/W2181206071","https://openalex.org/W2602502146","https://openalex.org/W3101604534","https://openalex.org/W4213264637","https://openalex.org/W4242161479","https://openalex.org/W6662286707"],"related_works":["https://openalex.org/W2180954594","https://openalex.org/W2052835778","https://openalex.org/W2049003611","https://openalex.org/W2127804977","https://openalex.org/W2108418243","https://openalex.org/W164103134","https://openalex.org/W2787352659","https://openalex.org/W1970611213","https://openalex.org/W4206560911","https://openalex.org/W4372260270"],"abstract_inverted_index":{"The":[0,32],"relation":[1],"between":[2],"static":[3,23],"and":[4],"dynamic":[5,30,49],"Lyapunov":[6],"functions":[7],"weighting":[8,24,50],"is":[9,12,35],"discussed.":[10],"It":[11],"shown":[13],"that,":[14],"under":[15],"some":[16],"technical":[17],"assumptions,":[18],"stabilizability":[19,26],"by":[20,27,37],"means":[21,28,38],"of":[22,29,39],"implies":[25],"weighting.":[31],"existence":[33],"result":[34],"illustrated":[36],"an":[40],"example":[41],"which":[42],"highlights":[43],"that":[44],"the":[45,56],"design":[46],"based":[47],"on":[48,55],"requires":[51],"less":[52],"a-priori":[53],"information":[54],"system":[57],"to":[58],"be":[59],"stabilized.":[60]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}