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

Francisco Lopez-ramirez1, Denis Efimov2, Andrey Polyakov3, Wilfrid Perruquetti4

  • 1INRIA Lille-Nord Europe
  • 2Inria
  • 3Inria Lille Nord-Europe
  • 4Ecole Centrale de Lille

Details

10:20 - 10:40 | Mon 17 Dec | Splash 12 | MoA20.2

Session: Lyapunov Methods I

Abstract

This article presents a theoretical framework to study finite-time and fixed-time input-to-state stability of nonlinear 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.