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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.
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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⟩
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