{"id":"https://openalex.org/W2166783551","doi":"https://doi.org/10.1109/tac.2010.2042001","title":"Robust Asymptotic Stabilization of Nonlinear Systems With Non-Hyperbolic Zero Dynamics","display_name":"Robust Asymptotic Stabilization of Nonlinear Systems With Non-Hyperbolic Zero Dynamics","publication_year":2010,"publication_date":"2010-02-11","ids":{"openalex":"https://openalex.org/W2166783551","doi":"https://doi.org/10.1109/tac.2010.2042001","mag":"2166783551"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2010.2042001","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2010.2042001","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://minesparis-psl.hal.science/hal-00531495/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101646071","display_name":"Lorenzo Marconi","orcid":"https://orcid.org/0000-0001-5519-5448"},"institutions":[{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Lorenzo Marconi","raw_affiliation_strings":["C.A.SY. DEIS, University of Bologna, Bologna, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"C.A.SY. DEIS, University of Bologna, Bologna, Italy","institution_ids":["https://openalex.org/I9360294"]}]},{"author_position":"middle","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":false,"raw_author_name":"Laurent Praly","raw_affiliation_strings":["\u00c9cole des Mines de Paris, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\u00c9cole des Mines de Paris, Paris, France","institution_ids":["https://openalex.org/I70768539"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015991677","display_name":"Alberto Isidori","orcid":"https://orcid.org/0000-0003-0776-3214"},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Alberto Isidori","raw_affiliation_strings":["DIS, Universit\u00e0 di Roma \"La Sapienza\", Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"DIS, Universit\u00e0 di Roma \"La Sapienza\", Italy","institution_ids":["https://openalex.org/I861853513"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.6104,"has_fulltext":true,"cited_by_count":19,"citation_normalized_percentile":{"value":0.93388853,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"55","issue":"4","first_page":"907","last_page":"921"},"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":0.9988999962806702,"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":0.9988999962806702,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.995199978351593,"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/nonlinear-system","display_name":"Nonlinear system","score":0.7323980331420898},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.7003847360610962},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6600281596183777},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.6538527011871338},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.6128731966018677},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.49948644638061523},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4664176404476166},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43203508853912354},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.42815613746643066},{"id":"https://openalex.org/keywords/stability-theory","display_name":"Stability theory","score":0.4230431914329529},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4020179212093353},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17213720083236694},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.16930553317070007},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13225135207176208},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07326644659042358}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7323980331420898},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.7003847360610962},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6600281596183777},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.6538527011871338},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.6128731966018677},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.49948644638061523},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4664176404476166},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43203508853912354},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.42815613746643066},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.4230431914329529},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4020179212093353},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17213720083236694},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.16930553317070007},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13225135207176208},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07326644659042358},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tac.2010.2042001","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2010.2042001","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-00531495v1","is_oa":true,"landing_page_url":"https://minesparis-psl.hal.science/hal-00531495","pdf_url":"https://minesparis-psl.hal.science/hal-00531495/document","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, 2010, 55 (4), pp.907-921. &#x27E8;10.1109/TAC.2010.2042001&#x27E9;","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:cris.unibo.it:11585/92677","is_oa":false,"landing_page_url":"http://hdl.handle.net/11585/92677","pdf_url":null,"source":{"id":"https://openalex.org/S4306402579","display_name":"Archivio istituzionale della ricerca (Alma Mater Studiorum Universit\u00e0 di Bologna)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210117483","host_organization_name":"Istituto di Ematologia di Bologna","host_organization_lineage":["https://openalex.org/I4210117483"],"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"},{"id":"pmh:oai:iris.uniroma1.it:11573/5632","is_oa":false,"landing_page_url":"http://www.scopus.com/inward/record.url?eid=2-s2.0-77950816091&partnerID=65&md5=ac803b4f448431f7e345b86d8b741968","pdf_url":null,"source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-00531495v1","is_oa":true,"landing_page_url":"https://minesparis-psl.hal.science/hal-00531495","pdf_url":"https://minesparis-psl.hal.science/hal-00531495/document","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, 2010, 55 (4), pp.907-921. &#x27E8;10.1109/TAC.2010.2042001&#x27E9;","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2166783551.pdf","grobid_xml":"https://content.openalex.org/works/W2166783551.grobid-xml"},"referenced_works_count":43,"referenced_works":["https://openalex.org/W83782864","https://openalex.org/W161293379","https://openalex.org/W296003671","https://openalex.org/W580905425","https://openalex.org/W942330102","https://openalex.org/W1487112583","https://openalex.org/W1515224583","https://openalex.org/W1537653646","https://openalex.org/W1541458810","https://openalex.org/W1543420164","https://openalex.org/W1908990796","https://openalex.org/W1982440936","https://openalex.org/W1987071843","https://openalex.org/W2016767879","https://openalex.org/W2023596262","https://openalex.org/W2026565374","https://openalex.org/W2034005720","https://openalex.org/W2042717399","https://openalex.org/W2069477977","https://openalex.org/W2074857762","https://openalex.org/W2081437236","https://openalex.org/W2089614042","https://openalex.org/W2091052208","https://openalex.org/W2103666082","https://openalex.org/W2114781747","https://openalex.org/W2116040347","https://openalex.org/W2119511013","https://openalex.org/W2119630518","https://openalex.org/W2131531286","https://openalex.org/W2140998418","https://openalex.org/W2154217311","https://openalex.org/W2160725977","https://openalex.org/W2163245660","https://openalex.org/W2166351406","https://openalex.org/W2173487526","https://openalex.org/W2329104802","https://openalex.org/W2488215724","https://openalex.org/W2489199099","https://openalex.org/W2616647868","https://openalex.org/W3148995510","https://openalex.org/W4205940976","https://openalex.org/W4213367573","https://openalex.org/W4295882818"],"related_works":["https://openalex.org/W3185235544","https://openalex.org/W2911623553","https://openalex.org/W2348798467","https://openalex.org/W2074717584","https://openalex.org/W2364440354","https://openalex.org/W4300989278","https://openalex.org/W327603423","https://openalex.org/W4285551356","https://openalex.org/W3042530036","https://openalex.org/W2897741391"],"abstract_inverted_index":{"We":[0,29],"present":[1],"a":[2,48,58],"general":[3],"tool":[4],"to":[5,35],"handle":[6],"the":[7,53,82,90],"presence":[8],"of":[9,22,68,84,92],"zero":[10],"dynamics":[11],"which":[12,44,62],"are":[13],"asymptotically":[14],"but":[15],"not":[16,64],"locally":[17],"exponentially":[18],"stable":[19],"in":[20,81,89],"problems":[21],"robust":[23,59],"nonlinear":[24,93],"stabilization":[25],"by":[26,56],"output":[27,85],"feedback.":[28],"show":[30],"how":[31],"it":[32],"is":[33,63],"possible":[34],"design":[36,67,75,91],"<i":[37],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[38],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">locally":[39],"Lipschitz</i>":[40],"stabilizers":[41],"under":[42],"conditions":[43],"only":[45],"rely":[46],"upon":[47],"partial":[49],"detectability":[50],"assumption":[51],"on":[52,66],"controlled":[54],"plant,":[55],"obtaining":[57],"stabilizing":[60],"paradigm":[61],"based":[65],"observers":[69],"and":[70,87],"separation":[71],"principles.":[72],"The":[73],"main":[74],"idea":[76],"comes":[77],"from":[78],"recent":[79],"achievements":[80],"field":[83],"regulation":[86],"specifically":[88],"internal":[94],"models.":[95]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}
