Graduate student seminar | Stability and Distributed Delay

Speaker

Raluca Amariei
University of Waterloo

Abstract

In this talk, we consider the linear stability analysis of equilibrium points for the scalar delay differential equation with distributed delay. We show how the stability region can be determined for the gamma and uniform distributions. We then illustrate a way of approximating the region of stability when the actual distribution is not known, but some moments of the distribution are. And lastly, we compare the approximate stability regions with the true stability boundary for the gamma and uniform distributions.