Abstract : Lyapunov characterizations of output finite-time stability are presented for the system $x' = f (x), y = h(x)$ which is locally Lipschitz continuous out of the set $Y = {x ∈ R n : h(x) = 0}$ and continuous on $R^n$. The definitions are given in the form of $K$ and $KL$ functions. Necessary and sufficient conditions for output finite-time stability are given using Lyapunov functions. The theoretical results are supported by numerical examples.
Youness Braidiz, Denis Efimov, Andrey Polyakov, Wilfrid Perruquetti. Robust Finite-time stability of homogeneous systems with respect to
multiplicative disturbances. ECC 2019 - European Control Conference, Jun 2019, Naples, Italy. ⟨hal-02084980⟩