Global finite-time stability of differential equation with discontinuous right-hand side

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS（2018）

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摘要

In the paper new sufficient conditions for global finite-time stability of a stationary solution to differential equation with discontinuous right-hand side are given. Time-dependent Lyapunov function which is only continuous is used. Properties of Lyapunov function are described by presubdifferential and contingent derivative.

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关键词

stability,global finite-time stability,ordinary differential equations,Lyapunov function,Dini derivative,contingent derivative,presubdifferential

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