International Federation of Automatic Control
3rd IFAC SYMPOSIUM on SYSTEM, STRUCTURE and CONTROL

Foz do Iguassu, Brazil October 17th - 19th, 2007


Friday Evening

Session FE3: Infinite Dimensional and Time-delay Systems


Chair: Silviu-Iulian Niculescu - France
Co-chair: Valerie dos Santos Martins - France
Room: Santiago
2007-10-19
From 16:00 to 18:00
Some Remarks on the Stability of Cell-to-Cell Spread Models with Distributed Delays
Constantin-Irinel Morarescu; Silviu-Iulian Niculescu
Contact: Silviu-Iulian Niculescu - France
17:20-17:40
Abstract:
In this paper, we focus on the asymptotic stability of some low-order distributed delay models describing cell-to-cell spread mechanisms in some well-mixed configuration. The stability analysis will be performed in the delay-parameter space defined by the mean delay and by the corresponding gap. We will explicitly compute the crossing frequency set, and the stability crossing curves by using a frequency-domain approach. An illustrative example encountered in HIV-1 infection will complete the presentation. Copyright © 2007 IFAC.