On Implicit Finite-Time and Fixed-Time ISS Lyapunov Functions

Francisco Lopez-Ramirez (1) , Denis Efimov (1) , Andrey Polyakov (1) , Wilfrid Perruquetti (2)

1 NON-A-POST - Non-Asymptotic estimation for online systems
2 Centrale Lille

This article presents a theoretical framework to study finite-time and fixed-time input-to-state stability of non-linear systems using the implicit Lyapunov function formulation. This approach allows to determine stability, robustness and convergence type of a given system without relying in an explicit Lyapunov function.

Domaines: Automatique / Robotique

Francisco Lopez-Ramirez, Denis Efimov, Andrey Polyakov, Wilfrid Perruquetti. On Implicit Finite-Time and Fixed-Time ISS Lyapunov Functions. CDC 2018 - 57th IEEE Conference on Decision and Control, Dec 2018, Miami Beach, United States. ⟨hal-01888526⟩