4.2 Article

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

Journal

STATISTICS & PROBABILITY LETTERS
Volume 206, Issue -, Pages -

Publisher

ELSEVIER
DOI: 10.1016/j.spl.2023.109980

Keywords

Impulsive effect; Polynomial stability; Stabilization

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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.
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.

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