内容摘要：As is well-known, the research on stochastic nonlinear systems is an important topic in the field of stochastic control. In recent years, stochastic nonlinear systems have been applied to many fields of mathematics, physics, biology, engineering, finance, and economics. The stability is one of the challenging topics in the field of stochastic differential equations. In this talk, we first introduce some definitions and results on stochastic stability. Then, we present our recent results and methods on this topic. Finally, we show our future research problems and directions.