Non-coercive Lyapunov-Krasovskii functionals for exponential stability of time-varying delay systems: a switched system approach

Ihab Haidar (1, 2)

1 ENSEA - Ecole Nationale Supérieure de l'Electronique et de ses Applications
2 QUARTZ - Laboratoire QUARTZ

In this paper we deal with a class of time-varying delay systems. We show that the existence of a noncoercive Lyapunov-Krasovskii functional is necessary and sufficient for local exponential stability. This result extends what is recently given in [3] for globally Lipschitz systems to a class of locally Lipschitz systems. A switched system approach is used to elaborate this result.

Mots clés: Time-delay systems; switched systems; Lyapunov-Krasovskii functionals; exponential stability

Domaines: Systèmes dynamiques [math.DS]; Automatique / Robotique

Ihab Haidar. Non-coercive Lyapunov-Krasovskii functionals for exponential stability of time-varying delay systems: a switched system approach. 2022. ⟨hal-03851071⟩