Skip to Main content Skip to Navigation
Conference papers

On Notions of Output Finite-Time Stability

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.
Document type :
Conference papers
Complete list of metadata

Cited literature [19 references]  Display  Hide  Download

https://hal.inria.fr/hal-02084981
Contributor : Denis Efimov <>
Submitted on : Saturday, March 30, 2019 - 9:39:03 AM
Last modification on : Friday, December 11, 2020 - 6:44:07 PM

File

ECC19_0343_Kostya.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-02084981, version 1

Citation

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⟩

Share

Metrics

Record views

120

Files downloads

391