Razumikhin-type theorem for pth exponential stability of impulsive stochastic functional differential equations based on vector Lyapunov function
This paper is concerned with the \(p\)-th moment exponential stability of stochastic functional differential equations with impulses. Based on average dwelltime method, Razumikhin-type technique and vector Lyapunov function, some novel stability criteria are obtained for impulsive stochastic functional differential systems. Two examples are given to demonstrate the validity of the proposed results. The results in this paper are quite general and can be used to analyze other similar important problems in the future.
stochastic functional differential equation
scientific article; zbMATH DE number 7443529
scientific article