{"id":"https://openalex.org/W2103499808","doi":"https://doi.org/10.1109/cdc.2004.1428692","title":"An analysis of a circadian model using the small-gain approach to monotone systems","display_name":"An analysis of a circadian model using the small-gain approach to monotone systems","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2103499808","doi":"https://doi.org/10.1109/cdc.2004.1428692","mag":"2103499808"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2004.1428692","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2004.1428692","pdf_url":null,"source":{"id":"https://openalex.org/S4363608267","display_name":"2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5037354850","display_name":"David Angeli","orcid":"https://orcid.org/0000-0002-5311-4306"},"institutions":[{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"D. Angeli","raw_affiliation_strings":["Dipartimento Sistemi e Informatica, University of Florence, Florence, Italy","Dip. Sistemi e Informatica, Florence Univ., Firenze, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento Sistemi e Informatica, University of Florence, Florence, Italy","institution_ids":["https://openalex.org/I45084792"]},{"raw_affiliation_string":"Dip. Sistemi e Informatica, Florence Univ., Firenze, Italy","institution_ids":["https://openalex.org/I45084792"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068753451","display_name":"Eduardo D. Sontag","orcid":"https://orcid.org/0000-0001-8020-5783"},"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":"E.D. Sontag","raw_affiliation_strings":["Department of Mathematics, Rutgers University, NJ, USA","Rutgers, University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Rutgers University, NJ, USA","institution_ids":["https://openalex.org/I102322142"]},{"raw_affiliation_string":"Rutgers, University","institution_ids":["https://openalex.org/I102322142"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"41","issue":null,"first_page":"575","last_page":"578 Vol.1"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9986000061035156,"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":0.9986000061035156,"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9829999804496765,"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"}},{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9674999713897705,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.6604985594749451},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.6095423102378845},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5943179130554199},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5783867835998535},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43455106019973755},{"id":"https://openalex.org/keywords/feedback-loop","display_name":"Feedback loop","score":0.43315330147743225},{"id":"https://openalex.org/keywords/circadian-rhythm","display_name":"Circadian rhythm","score":0.42536091804504395},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42118048667907715},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40719297528266907},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.15537810325622559},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13973075151443481},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.08160459995269775}],"concepts":[{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.6604985594749451},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.6095423102378845},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5943179130554199},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5783867835998535},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43455106019973755},{"id":"https://openalex.org/C186886427","wikidata":"https://www.wikidata.org/wiki/Q5441213","display_name":"Feedback loop","level":2,"score":0.43315330147743225},{"id":"https://openalex.org/C121446783","wikidata":"https://www.wikidata.org/wiki/Q208353","display_name":"Circadian rhythm","level":2,"score":0.42536091804504395},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42118048667907715},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40719297528266907},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.15537810325622559},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13973075151443481},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.08160459995269775},{"id":"https://openalex.org/C169760540","wikidata":"https://www.wikidata.org/wiki/Q207011","display_name":"Neuroscience","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/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/cdc.2004.1428692","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2004.1428692","pdf_url":null,"source":{"id":"https://openalex.org/S4363608267","display_name":"2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.1.2337","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.1.2337","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.rutgers.edu/~sontag/FTP_DIR/04cdc-circadian-final.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.236.7315","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.236.7315","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/math/0312062v1.pdf","raw_type":"text"},{"id":"pmh:oai:flore.unifi.it:2158/1153401","is_oa":false,"landing_page_url":"http://hdl.handle.net/2158/1153401","pdf_url":null,"source":{"id":"https://openalex.org/S4306402033","display_name":"Florence Research (University of Florence)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45084792","host_organization_name":"University of Florence","host_organization_lineage":["https://openalex.org/I45084792"],"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/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W38710637","https://openalex.org/W985433685","https://openalex.org/W1487326353","https://openalex.org/W1606983228","https://openalex.org/W1851248039","https://openalex.org/W1970661255","https://openalex.org/W2010060766","https://openalex.org/W2017407560","https://openalex.org/W2063268016","https://openalex.org/W2088907143","https://openalex.org/W2147741970"],"related_works":["https://openalex.org/W3195765690","https://openalex.org/W2395497249","https://openalex.org/W3153505006","https://openalex.org/W2153916146","https://openalex.org/W2106786363","https://openalex.org/W2414585471","https://openalex.org/W2989895821","https://openalex.org/W2167919617","https://openalex.org/W1984726300","https://openalex.org/W4213384334"],"abstract_inverted_index":{"In":[0],"this":[1],"note,":[2],"we":[3],"show":[4],"how":[5],"certain":[6],"properties":[7],"of":[8,26,47],"Goldbeter's":[9],"1995":[10],"model":[11],"for":[12],"circadian":[13],"oscillations":[14],"can":[15],"be":[16],"proved":[17],"mathematically,":[18],"using":[19],"techniques":[20],"from":[21],"the":[22,45,65],"recently":[23],"developed":[24],"theory":[25,34],"monotone":[27],"systems":[28],"with":[29],"inputs":[30],"and":[31,39],"outputs.":[32],"The":[33],"establishes":[35],"global":[36],"asymptotic":[37],"stability,":[38],"in":[40,64],"particular":[41],"no":[42],"oscillations,":[43],"if":[44],"rate":[46],"transcription":[48],"is":[49],"somewhat":[50],"smaller":[51],"than":[52],"that":[53],"assumed":[54],"by":[55],"Goldbeter.":[56],"This":[57],"stability":[58],"persists":[59],"even":[60],"under":[61],"arbitrary":[62],"delays":[63],"feedback":[66],"loop.":[67]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
