Stability of distributed delay system with infinite support

Yassine Ariba (1, 2) , Frédéric Gouaisbaut (1) , Alexandre Seuret (1) , Kun Liu (3)

1 LAAS-MAC - Équipe Méthodes et Algorithmes en Commande
2 ICAM - Institut Catholique d'Arts et Métiers
3 Department of Electrical Engineering

This paper is devoted to the stability analysis of infinite distributed delay systems. The basic idea is to model the original time-delay system into an interconnected feedback system in order to use robust analysis and especially quadratic separation. This approach has been widely used to study classical pointwise time-delay system. The stability analysis is performed by introducing new quadratic inequalities based on Laguerre polynomials particularly well fitted to deal with infinite distributed delay. It allows to develop new stability results which accuracy depends on the chosen polynomial degree.

Domaines: Automatique / Robotique

Yassine Ariba, Frédéric Gouaisbaut, Alexandre Seuret, Kun Liu. Stability of distributed delay system with infinite support. 57th IEEE Conference on Decision and Control (CDC 2018), Dec 2018, Miami, United States. ⟨10.1109/CDC.2018.8619274⟩. ⟨hal-01962563⟩