Section: New Results

Curve analysis for the stability of time-delay systems

This work aims to design a new symbolic-numerical Puiseux-free approach for the study of the stability of differential time-delay systems. The idea behind is to replace the costly computations of Puiseux developpements around the critical pairs of the characteristic function by the numerical analysis of the branches of a well chosen 3D curve. The preliminary results show that this approach is easier to implement and turns out to be more efficient in practice. This ongoing work will be the subject of a future publication.