A secant condition for cyclic systems with time delays and its application to Gene Regulatory Networks

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buir.contributor.authorÖzbay, Hitay
dc.citation.epage176en_US
dc.citation.spage171en_US
dc.citation.volumeNumber48en_US
dc.contributor.authorAhsen, M. E.en_US
dc.contributor.authorÖzbay, Hitayen_US
dc.contributor.authorNiculescu, S. -I.en_US
dc.coverage.spatialAnn Arbor, Michigan, USAen_US
dc.date.accessioned2016-02-08T12:03:54Zen_US
dc.date.available2016-02-08T12:03:54Zen_US
dc.date.issued2015en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.descriptionDate of Conference: 28–30 June 2015en_US
dc.descriptionConference Name: 12th IFAC Workshop on Time Delay Systems, TDS 2015en_US
dc.description.abstractA stability condition is derived for cyclic systems with time delayed negative feedback. The result is an extension of the so-called secant condition, which is originally developed for systems without time delays. This extension of the secant condition gives a new local stability condition for a model of GRNs (Gene Regulatory Networks) under negative feedback. Stability robustness of homogenous networks is also investigated.en_US
dc.identifier.doi10.1016/j.ifacol.2015.09.372en_US
dc.identifier.issn1474-6670en_US
dc.identifier.urihttp://hdl.handle.net/11693/27885en_US
dc.language.isoEnglishen_US
dc.publisherIFACen_US
dc.relation.isversionofhttp://dx.doi.org/10.1016/j.ifacol.2015.09.372en_US
dc.source.titleProceedings of the 12th IFAC Workshop on Time Delay Systemsen_US
dc.subjectGene regulatory networksen_US
dc.subjectLocal stabilityen_US
dc.subjectSecant conditionen_US
dc.subjectTime delayen_US
dc.subjectDelay control systemsen_US
dc.titleA secant condition for cyclic systems with time delays and its application to Gene Regulatory Networksen_US
dc.typeConference Paperen_US

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