{"id":"https://openalex.org/W2995573535","doi":"https://doi.org/10.1109/cdc40024.2019.9029210","title":"Global asymptotic stability of a genetic negative feedback loop with an affine control","display_name":"Global asymptotic stability of a genetic negative feedback loop with an affine control","publication_year":2019,"publication_date":"2019-12-01","ids":{"openalex":"https://openalex.org/W2995573535","doi":"https://doi.org/10.1109/cdc40024.2019.9029210","mag":"2995573535"},"language":"en","primary_location":{"id":"doi:10.1109/cdc40024.2019.9029210","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc40024.2019.9029210","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE 58th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"preprint","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/A5052028462","display_name":"Lucie Chambon","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":"funder","lineage":["https://openalex.org/I1294671590"]},{"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"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Lucie Chambon","raw_affiliation_strings":["Universit\u00e9 C\u00f4te d\u2019Azur, Inria, INRA, CNRS, Sorbonne Universit\u00e9, France","Universit\u00e9 C\u00f4te d'Azur, Inria, INRA, CNRS, Sorbonne Universit\u00e9, France"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 C\u00f4te d\u2019Azur, Inria, INRA, CNRS, Sorbonne Universit\u00e9, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Universit\u00e9 C\u00f4te d'Azur, Inria, INRA, CNRS, Sorbonne Universit\u00e9, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066109797","display_name":"Jean\u2010Luc Gouz\u00e9","orcid":"https://orcid.org/0000-0001-7156-7934"},"institutions":[{"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/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean-Luc Gouze","raw_affiliation_strings":["Universit\u00e9 C\u00f4te d\u2019Azur, Inria, INRA, CNRS, Sorbonne Universit\u00e9, France","Universit\u00e9 C\u00f4te d'Azur, Inria, INRA, CNRS, Sorbonne Universit\u00e9, France"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 C\u00f4te d\u2019Azur, Inria, INRA, CNRS, Sorbonne Universit\u00e9, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Universit\u00e9 C\u00f4te d'Azur, Inria, INRA, CNRS, Sorbonne Universit\u00e9, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5052028462"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I39804081"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12487768,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"2838","last_page":"2843"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"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/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"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/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9685999751091003,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9514999985694885,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"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"}}],"keywords":[{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7223571538925171},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.6051083207130432},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5895547866821289},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.5818997025489807},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.5802686214447021},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5410245060920715},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45870646834373474},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4502897560596466},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39053213596343994},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.257050096988678},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17613691091537476},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.15505123138427734},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10617333650588989},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.09236851334571838}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7223571538925171},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.6051083207130432},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5895547866821289},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.5818997025489807},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.5802686214447021},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5410245060920715},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45870646834373474},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4502897560596466},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39053213596343994},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.257050096988678},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17613691091537476},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.15505123138427734},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10617333650588989},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.09236851334571838},{"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/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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc40024.2019.9029210","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc40024.2019.9029210","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE 58th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7400000095367432,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1851248039","https://openalex.org/W2073951555","https://openalex.org/W2106411386","https://openalex.org/W2147741970","https://openalex.org/W2153624566","https://openalex.org/W2294517584","https://openalex.org/W2478682842","https://openalex.org/W2507618556","https://openalex.org/W2742120708","https://openalex.org/W2769086206"],"related_works":["https://openalex.org/W2038416447","https://openalex.org/W2364151838","https://openalex.org/W1593898832","https://openalex.org/W1623358412","https://openalex.org/W2142014702","https://openalex.org/W4391062601","https://openalex.org/W2164703465","https://openalex.org/W2168383058","https://openalex.org/W2143247663","https://openalex.org/W2050693590"],"abstract_inverted_index":{"Genetic":[0],"negative":[1],"feedback":[2],"loops":[3],"are":[4,11,49],"essential":[5],"and":[6,55,82,105,127,171,191],"recurrent":[7],"biological":[8,87,110],"motifs.":[9],"They":[10],"traditionally":[12],"described":[13],"with":[14],"N-dimensional":[15],"competitive":[16],"dynamical":[17,37,141],"systems,":[18],"composed":[19],"of":[20,28,44,78,103,108,123,138,150,153],"highly":[21],"non-linear":[22],"Hill":[23],"functions.":[24],"The":[25],"stability":[26,41,173],"property":[27],"their":[29],"unique":[30,125],"steady":[31,76],"state":[32,77,155],"usually":[33],"determines":[34],"the":[35,74,79,101,106,109,115,121,136,148,154,188],"global":[36,169,172],"behavior:":[38],"homeostasis":[39,47],"under":[40],"or":[42],"emergence":[43],"oscillations.":[45,85],"When":[46],"conditions":[48],"disrupted,":[50],"undesired":[51,84],"oscillations":[52],"can":[53],"emerge":[54],"may":[56],"lead":[57],"to":[58,72,99,135,167,185],"various":[59],"diseases.":[60],"This":[61],"paper":[62],"presents":[63],"a":[64,124,143],"classical":[65],"affine":[66,180],"control":[67,90,116,181],"strategy":[68],"that":[69,157],"is":[70,91,163,183],"able":[71],"stabilize":[73,187],"unstable":[75],"disrupted":[80,189],"system":[81,190],"suppress":[83],"For":[86,112],"purpose,":[88],"this":[89,113,139,179],"designed":[92],"as":[93,95,159],"simple":[94],"possible":[96],"in":[97,165],"order":[98,166],"reduce":[100],"use":[102],"devices":[104],"complexity":[107,137],"set-up.":[111],"reason,":[114],"law":[117,182],"only":[118,128],"depends":[119],"on":[120,130,147],"measurement":[122],"gene":[126],"acts":[129],"its":[131,176],"own":[132],"expression.":[133],"Due":[134],"controlled":[140],"system,":[142],"new":[144],"methodology,":[145],"based":[146],"construction":[149],"successive":[151],"hyperrectangles":[152],"space":[156],"act":[158],"Lyapunov":[160],"function":[161],"level-sets,":[162],"proposed":[164],"prove":[168],"convergence":[170],"results.":[174],"Despite":[175],"apparent":[177],"simplicity,":[178],"shown":[184],"globally":[186],"recover":[192],"homeostasis.":[193]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}