Browsing by Subject "Schwarzian derivatives"

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    Stability analysis of a dynamical model representing gene regulatory networks
    (2012) Ahsen, M. E.; Özbay, Hitay; Niculescu, S. I.
    In 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.