  In this paper, we concentrate on the exponential stabilization of stochastic
nonlinear systems. Different from the single event-triggering mechanism in
traditional deterministic/stochastic control systems, based on two stopping
time sequences, we put forward a double-event-triggering mechanism (DETM) to
update control signals and make two different controls switch in order. Also,
this novel DETM allows aperiodic time updating and guarantees a positive lower
bound on the inter-event times. Together with this DETM, we introduce a
switching control law, including a primary control and a secondary control for
a non-switched stochastic system to obtain the exponential stabilization and
boundedness results. Finally, an illustrative example with simulation figures
is given to demonstrate the obtained results.
