Now showing items 1-15 of 15

    • Local asymptotic stability conditions for the positive equilibrium of a system modeling cell dynamics in leukemia 

      Özbay, Hitay; Bonnet, C.; Benjelloun H.; Clairambault J. (Springer, Berlin, Heidelberg, 2012)
      A distributed delay system with static nonlinearity has been considered in the literature to study the cell dynamics in leukemia. In this chapter local asymptotic stability conditions are derived for the positive equilibrium ...
    • On switching H∞ controllers for a class of linear parameter varying systems 

      Yan, P.; Özbay, H. (Elsevier BV, 2007)
      We consider switching H∞ controllers for a class of linear parameter varying (LPV) systems scheduled along a measurable parameter trajectory. The candidate controllers are selected from a given controller set according to ...
    • On the boundary control of a flexible robot arm 

      Morgül, Ömer (IEEE, 2001)
      We consider a flexible robot arm modeled as a single flexible link clamped to a rigid body. We assume that the system performs only planar motion. For this system, we pose two control problems; namely, the orientation and ...
    • On the boundary control of Kirchhoff's nonlinear string 

      Morgül, Ömer; Shahruz, S. M. (IFAC, 2007)
      In this paper we propose two new classes of controllers which stabilize Kirchhoff's nonlinear string by using boundary control techniques. We assume that the boundary displacement is the only available measurement. The ...
    • On the design of dynamic associative neural memories 

      Savran, M. E.; Morgül, Ö. (IEEE, 1994)
      We consider the design problem for a class of discrete-time and continuous-time neural networks. We obtain a characterization of all connection weights that store a given set of vectors into the network; that is, each given ...
    • On the stabilization of a flexible beam with a tip mass 

      Conrad, F.; Morgül, Ö. (Society for Industrial and Applied Mathematics, 1998-11)
      We study the stability of a flexible beam that is clamped at one end and free at the other; a mass is also attached to the free end of the beam. To stabilize this system we apply a boundary control force at the free end ...
    • Stability analysis of a dynamical model representing gene regulatory networks 

      Ahsen, M. E.; Özbay, Hitay; Niculescu, S. I. (2012)
      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 ...
    • Stability analysis of cell dynamics in leukemia 

      Özbay, H.; Bonnet, C.; Benjelloun, H.; Clairambault, J. (E D P Sciences, 2012)
      In order to better understand the dynamics of acute leukemia, and in particular to find theoretical conditions for the efficient delivery of drugs in acute myeloblastic leukemia, we investigate stability of a system modeling ...
    • Stability analysis of switched systems with time-varying discontinuous delays 

      Mazenc, F.; Malisoff, M.; Özbay, H. (Institute of Electrical and Electronics Engineers Inc., 2017)
      A new technique is proposed to ensure global asymptotic stability for nonlinear switched time-varying systems with time-varying discontinuous delays. It uses an adaptation of Halanay's inequality to switched systems and a ...
    • Stability analysis of switched time-delay systems 

      Yan, P.; Özbay, H. (2008)
      This paper addresses the asymptotic stability of switched time delay systems with heterogenous time invariant time delays. Piecewise Lyapunov-Razumikhin functions are introduced for the switching candidate systems to ...
    • Stability and robustness analysis for switched systems with time-varying delays 

      Mazenc, F.; Malisoff, M.; Özbay, H. (Society for Industrial and Applied Mathematics Publications, 2018)
      A new technique is presented for the stability and robustness analysis of nonlinear switched time-varying systems with uncertainties and time-varying delays. The delays are allowed to be discontinuous (but are required to ...
    • Stability of phase difference trajectories of networks of kuramoto oscillators with time-varying couplings and intrinsic frequencies 

      Lu, W.; Atay, F. M. (Society for Industrial and Applied Mathematics Publications, 2018)
      We study dynamics of phase differences (PDs) of coupled oscillators where both the intrinsic frequencies and the couplings vary in time. In the case the coupling coefficients are all nonnegative, we prove that the PDs are ...
    • Stabilization and disturbance rejection for the beam equation 

      Morgül, Ö. (IEEE, 2001)
      We consider a system described by the Euler-Bernoulli beam equation. For stabilization, we propose a dynamic boundary controller applied at the free end of the system. The transfer function of the controller is a marginally ...
    • Stabilization and disturbance rejection for the wave equation 

      Morgül, Ö. (Institute of Electrical and Electronics Engineers, 1998-01)
      We consider a system described by the one-dimensional linear wave equation in a bounded domain with appropriate boundary conditions. To stabilize the system, we propose a dynamic boundary controller applied at the free end ...
    • Three management policies for a resource with partition constraints 

      Alanyalı, M. (Cambridge University Press, 1999)
      Management of a bufferless resource is considered under non-homogeneous demand consisting of one-unit and two-unit requests. Two-unit requests can be served only by a given partition of the resource. Three simple admission ...