Browsing by Author "Bonnet, C."
Now showing items 1-11 of 11
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Analysis of blood cell production under growth factors switching
(Elsevier B.V., 2017)Hematopoiesis is a highly complicated biological phenomenon. Improving its mathematical modeling and analysis are essential steps towards consolidating the common knowledge about mechanisms behind blood cells production. ... -
A coupled model for healthy and cancerous cells dynamics in Acute Myeloid Leukemia
(IFAC, 2014)In this paper we propose a coupled model for healthy and cancerous cell dynamics in Acute Myeloid Leukemia. The PDE-based model is transformed to a nonlinear distributed delay system. For an equilibrium point of interest, ... -
Local asymptotic stability conditions for the positive equilibrium of a system modeling cell dynamics in leukemia
(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 ... -
A new model of cell dynamics in Acute Myeloid Leukemia involving distributed delays
(2012)In this paper we propose a refined model for the dynamical cell behavior in Acute Myeloid Leukemia (AML) compared to (Özbay et al, 2012) and (Adimy et al, 2008).We separate the cell growth phase into a sequence of several ... -
A numerical method for stability windows and unstable root-locus calculation for linear fractional time-delay systems
(Elsevier, 2012-08-14)This paper aims to provide a numerical algorithm able to locate all unstable poles, and therefore the characterization of the stability as a function of the delay, for a class of linear fractional-order neutral systems ... -
PID controller design for fractional-order systems with time delays
(Elsevier, 2011-11-22)Classical proper PID controllers are designed for linear time invariant plants whose transfer functions are rational functions of sα, where 0<α<1, and s is the Laplace transform variable. Effect of inputoutput time ... -
SOS methods for stability analysis of neutral differential systems
(Springer, 2009)This paper gives a description of how "sum-of-squares" (SOS) techniques can be used to check frequency-domain conditions for the stability of neutral differential systems. For delay-dependent stability, we adapt an approach ... -
Stability analysis of cell dynamics in leukemia
(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 systems with distributed delays and application to hematopoietic cell maturation dynamics
(IEEE, 2008-12)We consider linear systems with distributed delays where delay kernels are assumed to be finite duration impulse responses of finite dimensional systems. We show that stability analysis for this class of systems can be ... -
Stability of fractional neutral systems with multiple delays and poles asymptotic to the imaginary axis
(IEEE, 2010)This paper addresses the H∞-stability of linear fractional systems with multiple commensurate delays, including those with poles asymptotic to the imaginary axis. The asymptotic location of the neutral chains of poles are ... -
Stability windows and unstable root-loci for linear fractional time-delay systems
(Elsevier, 2011)The main point of this paper is on the formulation of a numerical algorithm to find the location of all unstable poles, and therefore the characterization of the stability as a function of the delay, for a class of linear ...
