NONSMOOTH LYAPUNOV FUNCTIONS AND DISCONTINUOUS CARATHÉODORY SYSTEMS
by
Andrea Bacciotti
,
Francesca Ceragioli
BibTeX
@MISC{Bacciotti_nonsmoothlyapunov,
author = {Andrea Bacciotti and Francesca Ceragioli},
title = {NONSMOOTH LYAPUNOV FUNCTIONS AND DISCONTINUOUS CARATHÉODORY SYSTEMS},
year = {}
}
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Abstract
Abstract: Differential equations with discontinuous righthand side and solutions intended in Carathéodory sense are considered. For these systems sufficient conditions which guarantee both Lyapunov stability and asymptotic stability in terms of nonsmooth Lyapunov functions are given. An invariance principle is also proven.
