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Conference Papers Year : 2019

On Notions of Output Finite-Time Stability


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.


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hal-02084981 , version 1 (30-03-2019)


  • HAL Id : hal-02084981 , version 1


Konstantin Zimenko, Denis Efimov, Andrey Polyakov, Artem Kremlev. On Notions of Output Finite-Time Stability. Proc. European Control Conference, Jun 2019, Naples, Italy. ⟨hal-02084981⟩
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