  We analyze the stability properties of Lur'e systems with piecewise
continuous nonlinearities by exploiting the notion of set-valued Lie derivative
for Lur'e-Postnikov Lyapunov functions. We first extend an existing result of
the literature to establish the global asymptotic stability of the origin under
a more general sector condition. We then present the main results of this work,
namely additional conditions under which output and state finite-time stability
properties also hold for the considered class of systems. We highlight the
relevance of these results by certifying the stability properties of two
engineering systems of known interest: mechanical systems affected by friction
and cellular neural networks.

Systems and Control;Systems and Control;Dynamical Systems