Browsing by Subject "Secant condition"

Filter results by typing the first few letters
Now showing 1 - 2 of 2
  • Thumbnail Image
    ItemOpen Access
    Analysis of a gene regulatory network model with time delay using the secant condition
    (IEEE, 2016-10-04) Ahsen, M. E.; Özbay, Hitay; Nicolescu, Silviu-Iulian
    A cyclic model for gene regulatory networks with time delayed negative feedback is analyzed using an extension of the so-called secant condition, which is originally developed for systems without time delays. It is shown that suf cient conditions obtained earlier for delay-independent local stability can be further improved for homogenous networks to obtain delay-dependent necessary and suf cient conditions, which are expressed in terms of the parameters of the Hill-type nonlinearity.
  • Thumbnail Image
    ItemOpen Access
    A secant condition for cyclic systems with time delays and its application to Gene Regulatory Networks
    (IFAC, 2015) Ahsen, M. E.; Özbay, Hitay; Niculescu, S. -I.
    A 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.