Stability analysis of nonlinear stochastic systems with delayed impulses
XIE Ben-wang
YAO Feng-qi
CHENG Pei
Abstract：In this paper,the p th moment exponential stability and almost exponential stability of nonlinear stochastic differential system with delayed impulsive effect are studied.On the foundation of the impulsive control theory and the idea of average impulsive interval,using the Itô formula,some sufficient conditions for the p th exponential stability and the almost exponential stability based on the Lyapunov theory are obtained.The results show that the existence of impulsive delay can not only destroy the stability of the system,but also be used to stabilize the unstable continuous dynamics.Finally,some numerical simulations are presented to illustrate our proposed results.
Keywords：delayed impulseaverage impulsive intervalp th moment exponential stabilityalmost exponential stability
Publication Date：2025-03-31
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：6( 563-568 )