  This paper considers the problem of finite-time stability for stochastic
nonlinear systems. A new Lyapunov theorem of stochastic finite-time stability
is proposed, and an important corollary is obtained. Some comparisons with the
existing results are given, and it shows that this new Lyapunov theorem not
only is a generalization of classical stochastic finite-time theorem, but also
reveals the important role of white-noise in finite-time stabilizing stochastic
systems. In addition, multiple Lyapunov functions-based criteria on stochastic
finite-time stability are presented, which further relax the constraint of the
infinitesimal generator $\mathcal{L}V$. Some examples are constructed to show
significant features of the proposed theorems. Finally, simulation results are
presented to demonstrate the theoretical analysis.
