Nonsmooth Lyapunov Stability of Differential Equations
نویسندگان
چکیده
In this work we focus on nondifferentiable Lyapunov functions where we derive conditions which ensure the existence of time-dependent upper bounds for such functions. The aforementioned conditions are based on the notion of upper right-hand Dini derivative of Lyapunov functions. As an application we study the attractivity and the asymptotic stability of the time–varying class of systems ẋ(t) = f (t, x(t)). The results are illustrated by a numerical simulation.
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