For a class of upper-triangular
stochastic nonlinear systems, this paper investigates the problem of
state-feedback stabilization. By introducing effective coordinates,
the original system is transformed into an equivalent one with
tunable gain. After that, by using the low gain homogeneous
domination technique and choosing the low gain parameter skillfully,
the global asymptotical stability in probability of the closed-loop
system can be guaranteed. The main contribution of this paper lies
in generalizing the low gain homogeneous domination technique to
stochastic systems and solving the stabilization problem for a class
of upper-triangular stochastic nonlinear systems. A simulation example shows
the effectiveness of the state-feedback controller.