Robust stability under relaxed persistent excitation conditions

Denis Efimov (1) , Nikita Barabanov (2) , Roméo Ortega (3)

1 NON-A-POST - Non-Asymptotic estimation for online systems
2 NDSU - North Dakota State University
3 L2S - Laboratoire des signaux et systèmes

For linear time-varying systems with a persistently excited state matrix it is well-known that input-to-state stability is recovered. In this note a relaxed condition on persistence of excitation is studied together with related robust stability notions (input-to-state stability and integral input-to-state stability). The results are illustrated by simulations for scalar systems.

Domaines: Automatique / Robotique

Denis Efimov, Nikita Barabanov, Roméo Ortega. Robust stability under relaxed persistent excitation conditions. 57th IEEE Conference on Decision and Control (CDC 2018), Dec 2018, Miami Beach, FL, United States. ⟨10.1109/cdc.2018.8619330⟩. ⟨hal-01888575⟩