Delay-dependent stability analysis of linear systems with time-varying delay

Yassine Ariba (1) , Frédéric Gouaisbaut (1)

1 LAAS-MAC - Équipe Méthodes et Algorithmes en Commande

Stability analysis of linear systems with time-varying delay is investigated. In order to highlight the relations between the variation of the delay and the states, redundant equations are introduced to construct a new modeling of the delay system. New types of Lyapunov Krasovskii functionals are then proposed allowing to reduce the conservatism of the stability criterion. Delay dependent stability conditions are then formulated in terms of linear matrix inequalities (LMI). Finally, an example shows the effectiveness of the proposed methodology.

Domaines: Automatique / Robotique

Yassine Ariba, Frédéric Gouaisbaut. Delay-dependent stability analysis of linear systems with time-varying delay. 46th IEEE Conference on Decision and Control, Dec 2007, New Orleans, United States. pp.2053 - 2058, ⟨10.1109/CDC.2007.4434619⟩. ⟨hal-00357911⟩