  This paper studies finite-time stability of a class of hybrid systems. We
present sufficient conditions in terms of multiple generalized Lyapunov
functions for the origin of the hybrid system to be finite-time stable. More
specifically, we show that even if the value of the generalized Lyapunov
functions increase between consecutive switches, finite-time stability can be
guaranteed if the finite-time convergent mode is active long enough. In
contrast to earlier work where the Lyapunov functions are required to be
decreasing during the continuous flows and non-increasing at the discrete
jumps, we allow the generalized Lyapunov functions to increase \emph{both}
during the continuous flows and the discrete jumps. As thus, the derived
stability results are less conservative compared to the related literature.
Numerical example demonstrates the efficacy of the proposed methods.
