{"id":"https://openalex.org/W2963774831","doi":"https://doi.org/10.1109/tac.2018.2810540","title":"Regularization of Chattering Phenomena via Bounded Variation Controls","display_name":"Regularization of Chattering Phenomena via Bounded Variation Controls","publication_year":2018,"publication_date":"2018-02-28","ids":{"openalex":"https://openalex.org/W2963774831","doi":"https://doi.org/10.1109/tac.2018.2810540","mag":"2963774831"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2018.2810540","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2018.2810540","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":true,"oa_status":"green","oa_url":"https://hal.science/hal-01359037","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070675526","display_name":"Marco Caponigro","orcid":"https://orcid.org/0000-0002-7577-6087"},"institutions":[{"id":"https://openalex.org/I124158823","display_name":"Conservatoire National des Arts et M\u00e9tiers","ror":"https://ror.org/0175hh227","country_code":"FR","type":"education","lineage":["https://openalex.org/I124158823","https://openalex.org/I4210134562"]},{"id":"https://openalex.org/I4210110037","display_name":"Laboratoire de M\u00e9canique, Mod\u00e9lisation & Proc\u00e9d\u00e9s Propres","ror":"https://ror.org/01vrxpt40","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I21491767","https://openalex.org/I4210095849","https://openalex.org/I4210110037","https://openalex.org/I4210142724"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Marco Caponigro","raw_affiliation_strings":["Laboratoire Mod\u00e9lisation Math\u00e9matique et Num\u00e9rique, Conservatoire National des Arts et M\u00e9tiers, Paris, France","M2N - Mod\u00e9lisation math\u00e9matique et num\u00e9rique (292 rue Saint-Martin, 75003, Paris - France)"],"affiliations":[{"raw_affiliation_string":"Laboratoire Mod\u00e9lisation Math\u00e9matique et Num\u00e9rique, Conservatoire National des Arts et M\u00e9tiers, Paris, France","institution_ids":["https://openalex.org/I124158823"]},{"raw_affiliation_string":"M2N - Mod\u00e9lisation math\u00e9matique et num\u00e9rique (292 rue Saint-Martin, 75003, Paris - France)","institution_ids":["https://openalex.org/I4210110037"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031162072","display_name":"Roberta Ghezzi","orcid":"https://orcid.org/0000-0003-2305-7627"},"institutions":[{"id":"https://openalex.org/I177064439","display_name":"Universit\u00e9 de Bourgogne","ror":"https://ror.org/03k1bsr36","country_code":"FR","type":"education","lineage":["https://openalex.org/I177064439"]},{"id":"https://openalex.org/I4210112333","display_name":"Institut de Math\u00e9matiques de Bourgogne","ror":"https://ror.org/021f0sa24","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210112333","https://openalex.org/I4405253280"]},{"id":"https://openalex.org/I4210166017","display_name":"Institut de Math\u00e9matiques de Bordeaux","ror":"https://ror.org/05m3r1b84","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I15057530","https://openalex.org/I4210141950","https://openalex.org/I4210160189","https://openalex.org/I4210166017"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Roberta Ghezzi","raw_affiliation_strings":["Institut de Math\u00e9matiques de Bourgogne, Universit\u00e9 de Bourgogne-Franche Comt\u00e9, Dijon, France","IMB - Institut de Math\u00e9matiques de Bourgogne [Dijon] (Universit\u00e9 de Bourgogne - 9, avenue Alain Savary - B.P. 47 870 - 21078 Dijon Cedex - France)"],"affiliations":[{"raw_affiliation_string":"Institut de Math\u00e9matiques de Bourgogne, Universit\u00e9 de Bourgogne-Franche Comt\u00e9, Dijon, France","institution_ids":["https://openalex.org/I4210112333","https://openalex.org/I177064439"]},{"raw_affiliation_string":"IMB - Institut de Math\u00e9matiques de Bourgogne [Dijon] (Universit\u00e9 de Bourgogne - 9, avenue Alain Savary - B.P. 47 870 - 21078 Dijon Cedex - France)","institution_ids":["https://openalex.org/I4210166017","https://openalex.org/I4210112333","https://openalex.org/I177064439"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057629608","display_name":"Benedetto Piccoli","orcid":"https://orcid.org/0000-0002-6000-5394"},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Benedetto Piccoli","raw_affiliation_strings":["Department of Mathematical Sciences and Center for Computational and Integrative Biology, Rutgers University, Camden, NJ, USA","CCIB - Center for Computational and Integrative Biology [Camden] (Camden, NJ 08102 - United States)","Department of Mathematical Sciences [Camden] (Armitage Hall 311 N. 5th Street Camden, NJ 08102 - United States)"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences and Center for Computational and Integrative Biology, Rutgers University, Camden, NJ, USA","institution_ids":["https://openalex.org/I102322142"]},{"raw_affiliation_string":"CCIB - Center for Computational and Integrative Biology [Camden] (Camden, NJ 08102 - United States)","institution_ids":[]},{"raw_affiliation_string":"Department of Mathematical Sciences [Camden] (Armitage Hall 311 N. 5th Street Camden, NJ 08102 - United States)","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089339704","display_name":"Emmanuel Tr\u00e9lat","orcid":"https://orcid.org/0000-0002-0656-7003"},"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/I169173203","display_name":"D\u00e9l\u00e9gation Paris 7","ror":"https://ror.org/00bw5n526","country_code":"FR","type":"government","lineage":["https://openalex.org/I154526488","https://openalex.org/I169173203"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210158291","display_name":"Laboratoire Jacques-Louis Lions","ror":"https://ror.org/04xmteb38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I204730241","https://openalex.org/I39804081","https://openalex.org/I4210141950","https://openalex.org/I4210158291"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Emmanuel Trelat","raw_affiliation_strings":["Sorbonne Universit\u00e9, Universit\u00e9 Paris-Diderot SPC, CNRS, Inria, Paris, France","LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions (Sorbonne-Universit\u00e9, Bo\u00eete courrier 187 - 75252 Paris Cedex 05 - France)","CaGE - Control And GEometry (France)"],"affiliations":[{"raw_affiliation_string":"Sorbonne Universit\u00e9, Universit\u00e9 Paris-Diderot SPC, CNRS, Inria, Paris, France","institution_ids":["https://openalex.org/I169173203","https://openalex.org/I204730241","https://openalex.org/I39804081","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions (Sorbonne-Universit\u00e9, Bo\u00eete courrier 187 - 75252 Paris Cedex 05 - France)","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I4210158291"]},{"raw_affiliation_string":"CaGE - Control And GEometry (France)","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5070675526"],"corresponding_institution_ids":["https://openalex.org/I124158823","https://openalex.org/I4210110037"],"apc_list":null,"apc_paid":null,"fwci":2.2446,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.89038147,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"63","issue":"7","first_page":"2046","last_page":"2060"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9970999956130981,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9970999956130981,"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":0.9948999881744385,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9922000169754028,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6809718608856201},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.6716729402542114},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.6329679489135742},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5911397337913513},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5148207545280457},{"id":"https://openalex.org/keywords/finite-set","display_name":"Finite set","score":0.5010526180267334},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4790797829627991},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4501008987426758},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.44907739758491516},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4254833161830902},{"id":"https://openalex.org/keywords/bounded-variation","display_name":"Bounded variation","score":0.4139828383922577},{"id":"https://openalex.org/keywords/phenomenon","display_name":"Phenomenon","score":0.41042232513427734},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3650074303150177},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28706955909729004},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.18104052543640137},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16156798601150513}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6809718608856201},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6716729402542114},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.6329679489135742},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5911397337913513},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5148207545280457},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.5010526180267334},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4790797829627991},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4501008987426758},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.44907739758491516},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4254833161830902},{"id":"https://openalex.org/C27851653","wikidata":"https://www.wikidata.org/wiki/Q829653","display_name":"Bounded variation","level":2,"score":0.4139828383922577},{"id":"https://openalex.org/C50335755","wikidata":"https://www.wikidata.org/wiki/Q483247","display_name":"Phenomenon","level":2,"score":0.41042232513427734},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3650074303150177},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28706955909729004},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.18104052543640137},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16156798601150513},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tac.2018.2810540","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2018.2810540","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:HAL:hal-01359037v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01359037","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://ieeexplore.ieee.org/document/8304693","raw_type":"Journal articles"},{"id":"pmh:oai:art.torvergata.it:2108/349149","is_oa":false,"landing_page_url":"https://hdl.handle.net/2108/349149","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":{"id":"pmh:oai:HAL:hal-01359037v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01359037","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://ieeexplore.ieee.org/document/8304693","raw_type":"Journal articles"},"sustainable_development_goals":[{"score":0.7699999809265137,"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":42,"referenced_works":["https://openalex.org/W40037269","https://openalex.org/W65467146","https://openalex.org/W564809451","https://openalex.org/W1484739396","https://openalex.org/W1595765050","https://openalex.org/W1975671824","https://openalex.org/W1979015355","https://openalex.org/W2005089986","https://openalex.org/W2005143756","https://openalex.org/W2023716016","https://openalex.org/W2049723320","https://openalex.org/W2053920067","https://openalex.org/W2068864491","https://openalex.org/W2083001486","https://openalex.org/W2102040002","https://openalex.org/W2112206897","https://openalex.org/W2118115577","https://openalex.org/W2120666720","https://openalex.org/W2129324915","https://openalex.org/W2130980192","https://openalex.org/W2134213155","https://openalex.org/W2140943160","https://openalex.org/W2149726831","https://openalex.org/W2154647195","https://openalex.org/W2160032004","https://openalex.org/W2164784865","https://openalex.org/W2169434740","https://openalex.org/W2172806547","https://openalex.org/W2242835355","https://openalex.org/W2242862815","https://openalex.org/W2344315942","https://openalex.org/W2480459371","https://openalex.org/W2571558868","https://openalex.org/W2796471654","https://openalex.org/W2914240990","https://openalex.org/W2964280511","https://openalex.org/W3116916964","https://openalex.org/W4292872153","https://openalex.org/W4302620424","https://openalex.org/W6602693135","https://openalex.org/W6682024749","https://openalex.org/W6787602336"],"related_works":["https://openalex.org/W2390740803","https://openalex.org/W4299727383","https://openalex.org/W3086618278","https://openalex.org/W1892002403","https://openalex.org/W2350325755","https://openalex.org/W2808214413","https://openalex.org/W4309005041","https://openalex.org/W1972306385","https://openalex.org/W2962746246","https://openalex.org/W4254199101"],"abstract_inverted_index":{"In":[0,28,139],"the":[1,4,39,57,68,72,75,89,111,154,169,173,177,196],"control":[2,48,62],"theory,":[3],"term":[5],"chattering":[6,131],"is":[7],"used":[8],"to":[9,11,43,96,118,137,168,180],"refer":[10],"fast":[12],"oscillations":[13],"of":[14,21,37,52,74,81,104,114,127,153,161,172,193,195],"controls,":[15],"such":[16],"as":[17,176],"an":[18,46,50,78,101,120,150],"infinite":[19,79,102],"number":[20,80,103],"switchings":[22,53,106],"over":[23,83],"a":[24,84,97,128,134,144,159,191],"finite":[25,55,85,108],"time":[26,86],"interval.":[27],"this":[29,140],"paper,":[30,141],"we":[31,142,185],"focus":[32],"on":[33],"three":[34],"typical":[35],"instances":[36],"chattering:":[38],"Fuller":[40],"phenomenon,":[41,59,91],"referring":[42,95],"situations":[44],"where":[45,67],"optimal":[47,61,69,121,170],"features":[49],"accumulation":[51],"in":[54,107],"time;":[56],"Robbins":[58],"concerning":[60],"problems":[63],"with":[64],"state":[65],"constraints,":[66],"trajectory":[70,98],"touches":[71],"boundary":[73],"constraint":[76],"set":[77],"times":[82],"interval;":[87],"and":[88],"Zeno":[90],"for":[92,123],"hybrid":[93],"systems,":[94],"that":[99],"depicts":[100],"location":[105],"time.":[109],"From":[110],"practical":[112],"point":[113],"view,":[115],"when":[116],"trying":[117],"compute":[119],"trajectory,":[122],"instance,":[124],"by":[125,148,189],"means":[126],"shooting":[129],"method,":[130],"may":[132],"be":[133],"serious":[135],"obstacle":[136],"convergence.":[138],"propose":[143],"general":[145],"regularization":[146],"procedure,":[147],"adding":[149],"appropriate":[151],"penalization":[152,178],"total":[155],"variation.":[156],"This":[157],"produces":[158],"family":[160],"quasi-optimal":[162],"controls":[163],"whose":[164],"associated":[165],"cost":[166,171],"converge":[167],"initial":[174],"problem":[175],"tends":[179],"zero.":[181],"Under":[182],"additional":[183],"assumptions,":[184],"also":[186],"quantify":[187],"quasi-optimality":[188],"determining":[190],"speed":[192],"convergence":[194],"costs.":[197]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-03-27T14:29:43.386196","created_date":"2019-07-30T00:00:00"}
