{"id":"https://openalex.org/W2173191104","doi":"https://doi.org/10.1109/cdc.2002.1184518","title":"Discontinuous exponential stabilization of chained form systems","display_name":"Discontinuous exponential stabilization of chained form systems","publication_year":2003,"publication_date":"2003-08-27","ids":{"openalex":"https://openalex.org/W2173191104","doi":"https://doi.org/10.1109/cdc.2002.1184518","mag":"2173191104"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2002.1184518","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2002.1184518","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":"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/A5105455082","display_name":"Nicolas Marchand","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/I4210097418","display_name":"Laboratoire des signaux et syst\u00e8mes","ror":"https://ror.org/00skw9v43","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210097418","https://openalex.org/I4210107720"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"N. Marchand","raw_affiliation_strings":["Laboratoire des Signaux et Systhm\u00e8s, ESEUPS-CNRS UMR 8506, Gif-sur-Yvette, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire des Signaux et Systhm\u00e8s, ESEUPS-CNRS UMR 8506, Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I4210097418","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026791409","display_name":"Mazen Alamir","orcid":"https://orcid.org/0000-0002-3668-5721"},"institutions":[{"id":"https://openalex.org/I106785703","display_name":"Institut polytechnique de Grenoble","ror":"https://ror.org/05sbt2524","country_code":"FR","type":"education","lineage":["https://openalex.org/I106785703","https://openalex.org/I899635006"]},{"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/I177483745","display_name":"Universit\u00e9 Joseph Fourier","ror":"https://ror.org/02aj0kh94","country_code":"FR","type":"education","lineage":["https://openalex.org/I177483745"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"M. Alamir","raw_affiliation_strings":["Laboratoire d'Automatique de Grenoble, INPG-UJF-CNRS UMR 5528, Saint Martin d'Heres, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire d'Automatique de Grenoble, INPG-UJF-CNRS UMR 5528, Saint Martin d'Heres, France","institution_ids":["https://openalex.org/I177483745","https://openalex.org/I1294671590","https://openalex.org/I106785703"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.4574,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.90021442,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"1","issue":null,"first_page":"350","last_page":"355"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11615","display_name":"Control and Dynamics of Mobile Robots","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/T11615","display_name":"Control and Dynamics of Mobile Robots","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/T10244","display_name":"Chaos control and synchronization","score":0.9721999764442444,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9713000059127808,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.721518874168396},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6563875079154968},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.6268737316131592},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.5157268643379211},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.5085204839706421},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5022072792053223},{"id":"https://openalex.org/keywords/exponential-growth","display_name":"Exponential growth","score":0.49440789222717285},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4806877076625824},{"id":"https://openalex.org/keywords/canonical-form","display_name":"Canonical form","score":0.47778066992759705},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.4570086896419525},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.44426220655441284},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.43999382853507996},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.30881911516189575},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19512367248535156},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.17863157391548157},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1559533178806305},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.13611659407615662},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07939893007278442}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.721518874168396},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6563875079154968},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.6268737316131592},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5157268643379211},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.5085204839706421},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5022072792053223},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.49440789222717285},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4806877076625824},{"id":"https://openalex.org/C204707403","wikidata":"https://www.wikidata.org/wiki/Q1152398","display_name":"Canonical form","level":2,"score":0.47778066992759705},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4570086896419525},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.44426220655441284},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.43999382853507996},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30881911516189575},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19512367248535156},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.17863157391548157},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1559533178806305},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.13611659407615662},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07939893007278442},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2002.1184518","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2002.1184518","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"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6800000071525574,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W94566284","https://openalex.org/W636854413","https://openalex.org/W1579740258","https://openalex.org/W1596951786","https://openalex.org/W1971044547","https://openalex.org/W2023285936","https://openalex.org/W2031750349","https://openalex.org/W2032128836","https://openalex.org/W2033434354","https://openalex.org/W2033699235","https://openalex.org/W2053309223","https://openalex.org/W2056610028","https://openalex.org/W2079519375","https://openalex.org/W2100165947","https://openalex.org/W2104929776","https://openalex.org/W2111306856","https://openalex.org/W2117885432","https://openalex.org/W2120181385","https://openalex.org/W2120944681","https://openalex.org/W2127988032","https://openalex.org/W2133361850","https://openalex.org/W2134317353","https://openalex.org/W2148328283","https://openalex.org/W2157202174","https://openalex.org/W2158564182","https://openalex.org/W3215970828","https://openalex.org/W4254786278","https://openalex.org/W6642962755","https://openalex.org/W6836538277"],"related_works":["https://openalex.org/W1504912364","https://openalex.org/W1671909755","https://openalex.org/W2151791215","https://openalex.org/W2005786916","https://openalex.org/W2379495416","https://openalex.org/W1996632312","https://openalex.org/W2002349705","https://openalex.org/W2047053200","https://openalex.org/W2315387649","https://openalex.org/W2169951476"],"abstract_inverted_index":{"A":[0],"transformation":[1,10],"is":[2,37,60,97],"proposed":[3],"for":[4,48,81],"single":[5],"chained":[6,12,68,102],"form":[7,13,17,24,69],"systems.":[8,70,103],"This":[9,35,71,95],"puts":[11],"systems":[14],"in":[15,40,52],"a":[16],"close":[18],"to":[19,29,42,86,100],"the":[20,44,53,75,89,92],"Brunovsky":[21],"linear":[22],"canonical":[23],"and":[25,62,64,84],"can":[26],"be":[27],"utilized":[28],"derive":[30],"an":[31],"almost":[32],"stabilizing":[33],"feedback.":[34],"feedback":[36,59,72],"then":[38],"extended":[39],"order":[41],"treat":[43],"singularity":[45],"that":[46],"arises":[47],"some":[49],"initial":[50],"conditions":[51],"previous":[54],"approach.":[55],"The":[56],"so":[57],"obtained":[58],"static":[61],"discontinuous":[63],"globally":[65],"exponentially":[66],"stabilizes":[67],"law":[73],"has":[74],"advantageous":[76],"property":[77],"of":[78,91],"being":[79],"bounded":[80,82],"states":[83],"converging":[85],"zero":[87],"along":[88],"trajectories":[90],"closed-loop":[93],"system.":[94],"work":[96],"straightforwardly":[98],"extendable":[99],"multi-input":[101]},"counts_by_year":[{"year":2016,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
