Article ID Journal Published Year Pages File Type
697876 Automatica 2006 6 Pages PDF
Abstract

Differential equations with discontinuous right-hand side and solutions intended in Carathéodory sense are considered. For these equations, sufficient conditions which guarantee both Lyapunov stability and asymptotic stability in terms of nonsmooth Lyapunov functions are given. An invariance principle is also proven.

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Related Topics
Physical Sciences and Engineering Engineering Control and Systems Engineering
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Nonpathological Lyapunov functions and discontinuous Carathéodory systems
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