{"id":"https://openalex.org/W2147605972","doi":"https://doi.org/10.1109/cdc.2007.4434724","title":"Estimate of the region of attraction for a class of nonlinear time delay systems: a leukemia post-transplantation dynamics example","display_name":"Estimate of the region of attraction for a class of nonlinear time delay systems: a leukemia post-transplantation dynamics example","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2147605972","doi":"https://doi.org/10.1109/cdc.2007.4434724","mag":"2147605972"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2007.4434724","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2007.4434724","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 46th IEEE Conference on Decision and Control","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/A5010392774","display_name":"Ra\u00fal Villafuerte\u2010Segura","orcid":"https://orcid.org/0000-0003-3904-5401"},"institutions":[{"id":"https://openalex.org/I68368234","display_name":"Center for Research and Advanced Studies of the National Polytechnic Institute","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":"Raul Villafuerte","raw_affiliation_strings":["Department of Automatic Control, CINVESTAV, Mexico"],"affiliations":[{"raw_affiliation_string":"Department of Automatic Control, CINVESTAV, Mexico","institution_ids":["https://openalex.org/I68368234"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043301628","display_name":"Sabine Mondi\u00e9","orcid":"https://orcid.org/0000-0002-0968-1899"},"institutions":[{"id":"https://openalex.org/I68368234","display_name":"Center for Research and Advanced Studies of the National Polytechnic Institute","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":"Sabine Mondie","raw_affiliation_strings":["Department of Automatic Control, CINVESTAV, Mexico"],"affiliations":[{"raw_affiliation_string":"Department of Automatic Control, CINVESTAV, Mexico","institution_ids":["https://openalex.org/I68368234"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5010392774"],"corresponding_institution_ids":["https://openalex.org/I68368234"],"apc_list":null,"apc_paid":null,"fwci":0.4485,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.64891392,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"20","issue":null,"first_page":"633","last_page":"638"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9948999881744385,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9948999881744385,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9925000071525574,"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9897000193595886,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"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/nonlinear-system","display_name":"Nonlinear system","score":0.7121926546096802},{"id":"https://openalex.org/keywords/attraction","display_name":"Attraction","score":0.6321342587471008},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.6170530319213867},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.5971571803092957},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5769807696342468},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5107812881469727},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4553764760494232},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.44879263639450073},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35423627495765686},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.14500439167022705},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14464935660362244},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11005347967147827}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7121926546096802},{"id":"https://openalex.org/C2778364177","wikidata":"https://www.wikidata.org/wiki/Q2247133","display_name":"Attraction","level":2,"score":0.6321342587471008},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.6170530319213867},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.5971571803092957},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5769807696342468},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5107812881469727},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4553764760494232},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.44879263639450073},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35423627495765686},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.14500439167022705},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14464935660362244},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11005347967147827},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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},{"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2007.4434724","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2007.4434724","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 46th IEEE Conference on Decision and Control","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/3","score":0.8100000023841858,"display_name":"Good health and well-being"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W297918892","https://openalex.org/W1506119886","https://openalex.org/W1853383766","https://openalex.org/W1976101038","https://openalex.org/W1981140738","https://openalex.org/W1981581665","https://openalex.org/W1988098342","https://openalex.org/W2047017331","https://openalex.org/W2062271252","https://openalex.org/W2072613078","https://openalex.org/W2112403810","https://openalex.org/W2134658700","https://openalex.org/W2143236448","https://openalex.org/W2331214896","https://openalex.org/W2556623493","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W4386786398","https://openalex.org/W2138293586","https://openalex.org/W4282832460","https://openalex.org/W4319783074","https://openalex.org/W4255464147","https://openalex.org/W2080052720","https://openalex.org/W1503179180","https://openalex.org/W4319778501","https://openalex.org/W2171384148","https://openalex.org/W2021797003"],"abstract_inverted_index":{"In":[0],"this":[1,74],"contribution":[2],"we":[3],"present":[4],"an":[5],"estimate":[6],"of":[7,10,12,21,28,41,44,49,52,54,58,65],"the":[8,13,39,50,55,59,62,66],"region":[9,51],"attraction":[11,53],"exponentially":[14],"stable":[15,56],"trivial":[16],"solution":[17],"for":[18],"a":[19],"class":[20],"nonlinear":[22],"time":[23],"delay":[24],"systems.":[25],"The":[26,47],"case":[27],"multiple":[29],"delays":[30],"is":[31,36],"addressed.":[32],"This":[33],"constructive":[34],"approach":[35],"based":[37],"on":[38],"use":[40],"Lyapunov-Krasovskii":[42],"functionals":[43],"complete":[45],"type.":[46],"analysis":[48],"equilibrium":[57],"model":[60],"describing":[61],"post-transplantation":[63],"dynamics":[64],"immune":[67],"response":[68],"to":[69],"chronic":[70],"myelogenous":[71],"leukemia":[72],"completes":[73],"work.":[75]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
