Ahsen, M. E.Özbay, HitayNiculescu, S. I.2016-02-082016-02-0820121474-6670http://hdl.handle.net/11693/28165Part of special issue: 10th IFAC Workshop on Time Delay SystemsConference name: Proceedings of the 10-th IFAC Workshop on Time Delay Systems The International Federation of Automatic ControlDate of Conference: 22-24 June 2012In this paper we perform stability analysis of a class of cyclic biological processes involving time delayed feedback. More precisely, we analyze the genetic regulatory network having nonlinearities with negative Schwarzian derivatives. We derive a set of conditions implying global stability of the genetic regulatory network under positive feedback. As a special case, we also consider homogenous genetic regulatory networks and obtain an appropriate stability condition which depends only on the parameters of the nonlinearity function. © 2012 IFAC.EnglishAsymptotic stabilityGene regulatory networksHill functionsNonlinear time delay networksSchwarzian derivativesBiological processDynamical modelGene regulatory networksGenetic regulatory networksGlobal stabilityHill functionNonlinear time delaysNonlinearity functionSchwarzian derivativeStability analysisStability conditionTime-delayed feedbackAsymptotic stabilityGenesTime delayConference Paper10.3182/20120622-3-US-4021.00020