Almost sure polynomial stability and stabilization of stochastic differential systems with impulsive effects

In this paper, we first consider the almost surely and pth moment polynomial stability of stochastic differential equations with impulsive effects. Sufficient conditions are given to obtain the polynomial stability. Then the stabilization of stochastic differential systems is studied, which shows that impulse can make stochastic differential equations stable.

Automated summary

This paper investigates the stability of stochastic differential equations with impulsive effects and provides sufficient conditions for obtaining stability. The research shows that impulse can stabilize stochastic differential equations.