International Federation of Automatic Control |
Session FE3: Infinite Dimensional and Time-delay SystemsChair: 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. |