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

• Main Authors: Radosław Matusik, Andrzej Rogowski
• Format: Article
• Language: English
• Published: University of Szeged 2018-06-01
• Series: Electronic Journal of Qualitative Theory of Differential Equations
• Subjects: stability; global finite-time stability; ordinary differential equations; lyapunov function; dini derivative; contingent derivative; presubdifferential
• Online Access: http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=6362
• ISSN: 1417-3875; 1417-3875

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.