Author:
Li Yunfeng,Cheng Pei,Wu Zheng
Abstract
This paper focuses on the problem of the pth moment and almost sure exponential stability of impulsive neutral stochastic functional differential equations (INSFDEs). Based on the Lyapunov function and average dwell time (ADT), two sufficient criteria for the exponential stability of INSFDEs are derived, which manifest that the result obtained in this paper is more convenient to be used than those Razumikhin conditions in former literature. Finally, two numerical examples and simulations are given to verify the validity of our result.
Funder
National Natural Science Foundation of China
Key Natural Science Research Project of Universities in Anhui Province
Outstanding Young Talents of Universities in Anhui Province
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference35 articles.
1. Mao, X. Stochastic Differential Equation and Applications, 1997.
2. Razumikhin-type exponential stability criteria of neutral stochastic functional differential equations;Jankovic;J. Math. Anal.,2009
3. Exponential stability in mean square of neutral stochastic differential functional equations;Mao;Syst. Control Lett.,1995
4. Asymptoic properties of neutral stochastic differential delay equation;Mao;Stochastics,2014
5. Controllability of nonlinear stochastic neutral impulsive systems;Karthikeyan;Nonlinear Anal. Hybrid Syst.,2009
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