Browsing by Subject "Time-delayed feedback"

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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.
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    Stability analysis of the heat equation with time-delayed feedback
    (IFAC, 2009-06) Çalışkan, Sina Yamaç; Özbay, Hitay
    In this paper we consider the heat equation with time delayed feedback. Recently, stability analysis of this system, with possibly time-varying delay, is done by Fridman and Orlov (2007, 2009); and a sufficient condition is obtained for stability in terms of a linear matrix inequality. Here we consider the same system, but with constant delay, and perform the stability analysis in the frequency domain. A necessary and sufficient condition is obtained in terms of the system parameters. The result is illustrated with numerical examples. © 2009 IFAC.