Discontinuous Lyapunov Functions for Nonasymptotic Stability Analysis - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Conference Papers Year : 2014

Discontinuous Lyapunov Functions for Nonasymptotic Stability Analysis

Abstract

The paper presents mathematical tools required for finite-time stability analysis of discontinuous control systems using discontinuous Lyapunov functions. Elements of Filippov theory of differential equations with discontinuous right-hand sides and stability notions are briefly observed. Concepts of generalized derivatives and non-smooth Lyapunov functions are considered. The generalized Lyapunov theorems for stability analysis and convergence time estimation are presented and supported by examples.
Fichier principal
Vignette du fichier
fixedtime.pdf (160.13 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-00977869 , version 1 (11-04-2014)

Identifiers

  • HAL Id : hal-00977869 , version 1

Cite

Andrey Polyakov. Discontinuous Lyapunov Functions for Nonasymptotic Stability Analysis. IFAC World Congress, Aug 2014, Cape Town, South Africa. ⟨hal-00977869⟩
181 View
1433 Download

Share

Gmail Facebook X LinkedIn More