{"id":"https://openalex.org/W2014615391","doi":"https://doi.org/10.1093/imamci/dnq033","title":"Stability analysis and estimate of the region of attraction of a human respiratory model: [republished article]","display_name":"Stability analysis and estimate of the region of attraction of a human respiratory model: [republished article]","publication_year":2010,"publication_date":"2010-12-01","ids":{"openalex":"https://openalex.org/W2014615391","doi":"https://doi.org/10.1093/imamci/dnq033","mag":"2014615391"},"language":"en","primary_location":{"id":"doi:10.1093/imamci/dnq033","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnq033","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-00557970/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5010392774","display_name":"Ra\u00fal Villafuerte\u2010Segura","orcid":"https://orcid.org/0000-0003-3904-5401"},"institutions":[{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]},{"id":"https://openalex.org/I68368234","display_name":"Centro de Investigaci\u00f3n y de Estudios Avanzados del Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/009eqmr18","country_code":"MX","type":"facility","lineage":["https://openalex.org/I59361560","https://openalex.org/I68368234"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"R. Villafuerte","raw_affiliation_strings":["Department of Automatic Control, Centro de Investigaci\u00f3n y de Estudios Avanzados del Instituto Polit\u00e9cnico Nacional, Avenue IPN 2508, Colony San Pedro Zacatenco, M\u00e9xico, 07360, DF, M\u00e9xico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Automatic Control, Centro de Investigaci\u00f3n y de Estudios Avanzados del Instituto Polit\u00e9cnico Nacional, Avenue IPN 2508, Colony San Pedro Zacatenco, M\u00e9xico, 07360, DF, M\u00e9xico","institution_ids":["https://openalex.org/I59361560","https://openalex.org/I68368234"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043301628","display_name":"Sabine Mondi\u00e9","orcid":"https://orcid.org/0000-0002-0968-1899"},"institutions":[{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]},{"id":"https://openalex.org/I68368234","display_name":"Centro de Investigaci\u00f3n y de Estudios Avanzados del Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/009eqmr18","country_code":"MX","type":"facility","lineage":["https://openalex.org/I59361560","https://openalex.org/I68368234"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"S. Mondie","raw_affiliation_strings":["Department of Automatic Control, Centro de Investigaci\u00f3n y de Estudios Avanzados del Instituto Polit\u00e9cnico Nacional, Avenue IPN 2508, Colony San Pedro Zacatenco, M\u00e9xico, 07360, DF, M\u00e9xico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Automatic Control, Centro de Investigaci\u00f3n y de Estudios Avanzados del Instituto Polit\u00e9cnico Nacional, Avenue IPN 2508, Colony San Pedro Zacatenco, M\u00e9xico, 07360, DF, M\u00e9xico","institution_ids":["https://openalex.org/I59361560","https://openalex.org/I68368234"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058754609","display_name":"Silviu\u2010Iulian Niculescu","orcid":"https://orcid.org/0000-0002-3444-2566"},"institutions":[{"id":"https://openalex.org/I102475099","display_name":"Sup\u00e9lec","ror":"https://ror.org/00n7gwn90","country_code":"FR","type":"education","lineage":["https://openalex.org/I102475099"]},{"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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"S.-I. Niculescu","raw_affiliation_strings":["Laboratoire des Signaux et Syst\u00e8mes (L2S), Centre National de la Recherche Scientifique-Sup\u00e9lec, Sup\u00e9lec\u2014Ecole sup\u00e9rieure d\u2019\u00e9lectricit\u00e9, rue Joliot Curie, 91192 Gif-sur-Yvette, France,","Laboratoire des Signaux et Syst\u00e8mes (L2S), Centre National de la Recherche Scientifique-Sup\u00e9lec, Sup\u00e9lec\u2014Ecole sup\u00e9rieure d\u2019\u00e9lectricit\u00e9, rue Joliot Curie, 91192 Gif-sur-Yvette, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire des Signaux et Syst\u00e8mes (L2S), Centre National de la Recherche Scientifique-Sup\u00e9lec, Sup\u00e9lec\u2014Ecole sup\u00e9rieure d\u2019\u00e9lectricit\u00e9, rue Joliot Curie, 91192 Gif-sur-Yvette, France,","institution_ids":["https://openalex.org/I102475099"]},{"raw_affiliation_string":"Laboratoire des Signaux et Syst\u00e8mes (L2S), Centre National de la Recherche Scientifique-Sup\u00e9lec, Sup\u00e9lec\u2014Ecole sup\u00e9rieure d\u2019\u00e9lectricit\u00e9, rue Joliot Curie, 91192 Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5010392774"],"corresponding_institution_ids":["https://openalex.org/I59361560","https://openalex.org/I68368234"],"apc_list":{"value":2582,"currency":"GBP","value_usd":3167},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.06284543,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"27","issue":"4","first_page":"493","last_page":"511"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T14488","display_name":"Chemical and Physical Studies","score":0.7318000197410583,"subfield":{"id":"https://openalex.org/subfields/1304","display_name":"Biophysics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T14488","display_name":"Chemical and Physical Studies","score":0.7318000197410583,"subfield":{"id":"https://openalex.org/subfields/1304","display_name":"Biophysics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.640999972820282,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12005","display_name":"Spaceflight effects on biology","score":0.5920000076293945,"subfield":{"id":"https://openalex.org/subfields/2737","display_name":"Physiology"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6621772050857544},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5794482827186584},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.5489115118980408},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5106564164161682},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.48045986890792847},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.47459906339645386},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.47236329317092896},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.4341878592967987},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4135289788246155},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4126385450363159},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.39515766501426697},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2837848961353302},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.27402549982070923},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.21847113966941833},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12237125635147095},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.12086161971092224},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10477524995803833},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.10257485508918762},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1016475260257721},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.07688435912132263}],"concepts":[{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6621772050857544},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5794482827186584},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.5489115118980408},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5106564164161682},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.48045986890792847},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.47459906339645386},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.47236329317092896},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4341878592967987},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4135289788246155},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4126385450363159},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.39515766501426697},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2837848961353302},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27402549982070923},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.21847113966941833},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12237125635147095},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.12086161971092224},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10477524995803833},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.10257485508918762},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1016475260257721},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.07688435912132263},{"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1093/imamci/dnq033","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnq033","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-00557970v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00557970","pdf_url":"https://hal.science/hal-00557970/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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IMA Journal of Mathematical Control and Information, 2010, 27 (4), pp.493-511. &#x27E8;10.1093/imamci/dnq033&#x27E9;","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-00557970v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00557970","pdf_url":"https://hal.science/hal-00557970/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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IMA Journal of Mathematical Control and Information, 2010, 27 (4), pp.493-511. &#x27E8;10.1093/imamci/dnq033&#x27E9;","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2014615391.pdf","grobid_xml":"https://content.openalex.org/works/W2014615391.grobid-xml"},"referenced_works_count":8,"referenced_works":["https://openalex.org/W1506119886","https://openalex.org/W1894322006","https://openalex.org/W2031765892","https://openalex.org/W2041516790","https://openalex.org/W2047017331","https://openalex.org/W2062271252","https://openalex.org/W2113467155","https://openalex.org/W2123190970"],"related_works":["https://openalex.org/W4311883357","https://openalex.org/W94411513","https://openalex.org/W2377770720","https://openalex.org/W2113626999","https://openalex.org/W160889949","https://openalex.org/W2364696089","https://openalex.org/W2164703465","https://openalex.org/W2168383058","https://openalex.org/W2143247663","https://openalex.org/W2050693590"],"abstract_inverted_index":{"In":[0],"this":[1,141],"paper,":[2],"we":[3,111],"complete":[4,159],"the":[5,65,91,118,121,137,153,169],"stability":[6,38,119],"analysis":[7,24,39,72,89,98,116],"of":[8,25,64,73,90,99,117,120,128,131,136,155,158],"various":[9],"human":[10,26,66,92],"respiratory":[11,27,41,67,93],"non-linear":[12,122],"time":[13,170],"delay":[14,75,101],"models":[15],"introduced":[16],"in":[17,40,51,140,168],"Vielle":[18],"&":[19,34,60,85],"Chauvet":[20],"(1998,":[21],"Delay":[22],"equation":[23],"stability.":[28],"Math.":[29,79,105],"Biosci.,":[30],"152,":[31],"105\u2013122),":[32],"Koll\u00e1r":[33],"Turi":[35],"(2004,":[36],"Numerical":[37],"control":[42,68,94],"system":[43],"models.":[44],"Conference":[45],"on":[46,152],"Differential":[47],"Equations":[48],"and":[49,83,133,148],"Applications":[50],"Mathematical":[52],"Biology,":[53],"Nanaimo,":[54],"BC,":[55],"Canada,":[56],"pp.":[57],"65\u201378),":[58],"Batzel":[59,84],"Tran":[61,86],"(2000a,":[62],"Stability":[63,88],"system.":[69,95],"Part":[70,96],"I:":[71],"two-dimensional":[74],"state-space":[76,102],"model.":[77,103],"J.":[78,104],"Biol.,":[80,106],"41,":[81,107],"45\u201379)":[82],"(2000b,":[87],"II:":[97],"three-dimensional":[100],"80\u2013102).":[108],"More":[109],"precisely,":[110],"present":[112],"a":[113,165],"detailed":[114],"mathematical":[115],"model":[123],"trivial":[124],"equilibrium,":[125],"an":[126],"estimate":[127],"its":[129],"region":[130],"attraction":[132],"exponential":[134],"estimates":[135],"solutions":[138],"starting":[139],"region.":[142],"The":[143],"proposed":[144],"approach":[145],"is":[146,150],"constructive":[147],"it":[149],"based":[151],"use":[154],"Lyapunov\u2013Krasovskii":[156],"functionals":[157],"type":[160],"for":[161],"time-delay":[162],"systems":[163],"with":[164],"cross":[166],"term":[167],"derivative.":[171]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-06-23T06:36:01.041984","created_date":"2025-10-10T00:00:00"}
