Construction of Lyapunov-Krasovskii functional for time-varying delay systems

Yassine Ariba (1) , Frédéric Gouaisbaut (1)

1 LAAS-MAC - Équipe Méthodes et Algorithmes en Commande

This paper provides some new techniques to construct a Lyapunov-Krasovskii functional for time varying delay systems. The construction is based on a partitioning scheme of the time-varying delay leading to a new type of Lyapunov-Krasovskii functional. This functional is depending on an augmented state and also on an integral quadratic constraint added to reduce the conservatism of the proposed methodology. This approach is then extended to the robust case. Finally, some examples support our approach.

Domaines: Automatique / Robotique

Yassine Ariba, Frédéric Gouaisbaut. Construction of Lyapunov-Krasovskii functional for time-varying delay systems. 47th IEEE Conference on Decision and Control, Dec 2008, Cancun, Mexico. pp.3995 - 4000, ⟨10.1109/CDC.2008.4738942⟩. ⟨hal-00357913⟩