Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized Lyapunov criteria on finite-time stability of stochastic
  nonlinear systems   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.

30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org