Integral inequality for time-varying delay systems

Alexandre Seuret (1) , Frédéric Gouaisbaut (2)

1 LAAS - Laboratoire d'analyse et d'architecture des systèmes
2 LAAS-MAC - Équipe Méthodes et Algorithmes en Commande

This paper considers the stability of time-varying delay systems. We develop some new integral inequalities which are proved to encompasses the celebrated Jensen's inequality. These technical tools allow to construct simple Lyapunov-Krasovskii functionals very efficient in practice. Notice that our procedure is coupled with the use of the reciprocal convexity result in order to reduce the conservatism induced by the LMIs optimisation setup. The effectiveness of the proposed results is illustrated by some classical examples from the literature.

Domaines: Automatique / Robotique

Alexandre Seuret, Frédéric Gouaisbaut. Integral inequality for time-varying delay systems. European Control Conference (ECC 2013), Jul 2013, Zurich, Switzerland. 6p. ⟨hal-00822718⟩