EXPONENTIAL STABILITY OF SOLUTIONS TO IMPULSIVE STOCHASTIC DIFFERENTIAL EQUATIONS DRIVEN BY G-BROWNIAN MOTION

YONG REN; XUEJUAN JIA; LANYING HU

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EXPONENTIAL STABILITY OF SOLUTIONS TO IMPULSIVE STOCHASTIC DIFFERENTIAL EQUATIONS DRIVEN BY G-BROWNIAN MOTION

机译：由G-布朗运动驱动的脉冲随机微分方程解的指数稳定性。

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摘要

In this paper, we establish the p-th moment exponential stability and quasi sure exponential stability of the solutions to impulsive stochastic differential equations driven by G-Brownian motion (IGSDEs in short) by means of G-Lyapunov function method. An example is presented to illustrate the efficiency of the obtained results.

机译：本文利用G-Lyapunov函数方法建立了由G-布朗运动（简称IGSDE）驱动的脉冲随机微分方程解的p阶矩指数稳定性和准指数稳定性。给出一个例子来说明所获得结果的效率。

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来源
《Discrete and continuous dynamical systems》 |2015年第7期|2157-2169|共13页
作者
YONG REN; XUEJUAN JIA; LANYING HU;
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作者单位

Department of Mathematics, Anhui Normal University Wuhu 241000, Anhui, China;

Department of Mathematics, Anhui Normal University Wuhu 241000, Anhui, China;

Department of Mathematics, Anhui Normal University Wuhu 241000, Anhui, China;

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原文格式 PDF
正文语种 eng
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关键词
Stochastic differential equation; G-Brownian motion; p-th moment exponential stability; quasi sure exponential stability; G-Lyapunov function method;

机译：随机微分方程;G-布朗运动;p阶矩指数稳定性;准确定指数稳定性;G-Lyapunov函数法;

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1. The p-th moment stability of solutions to impulsive stochastic differential equations driven by G-Brownian motion [J] . Ren Yong, Jia Xuejuan, Sakthivel R. Applicable Analysis . 2017,第5a8期

机译：G-Brownian运动驱动脉冲随机微分方程的第P旋转稳定性
2. Boundedness and stability analysis for impulsive stochastic differential equations driven by G-Brownian motion [J] . Xu Liguang, Ge Shuzhi Sam, Hu Hongxiao International Journal of Control . 2019,第1a3期

机译：G-Brownian运动驱动的脉冲随机微分方程的界限和稳定性分析
3. Exponential stability of neutral stochastic functional differential equations driven by G-Brownian motion [J] . J. P. Li, M. Zhu, Y. X. Zhu The Journal of Nonlinear Sciences and its Applications . 2017,第4期

机译：G-布朗运动驱动的中立型随机泛函微分方程的指数稳定性
4. Moment Exponential Stability of Neutral Impulsive Nonlinear Stochastic Delay Partial Differential Equations [C] . Lei Zhang, Yongsheng Ding, Tong Wang, Asia Simulation Conference . 2012

机译：中性脉冲非线性随机延迟偏微分方程的矩指数稳定性
5. Malliavin calculus for backward stochastic differential equations and stochastic differential equations driven by fractional Brownian motion and numerical schemes. [D] . Song, Xiaoming. 2011

机译：Malliavin演算，用于分数布朗运动和数值格式驱动的后向随机微分方程和随机微分方程。
6. Exponential stability for neutral stochastic functional partial differential equations driven by Brownian motion and fractional Brownian motion [O] . Xinwen Zhang, Dehao Ruan -1

机译：由布朗运动和分数布朗运动驱动的中立型随机泛函偏微分方程的指数稳定性。
7. Exponential stability for stochastic differential equation driven by G-Brownian motion [O] . Zhang Defei, Chen Zengjing 2012

机译：G布朗运动驱动的随机微分方程的指数稳定性。

EXPONENTIAL STABILITY OF SOLUTIONS TO IMPULSIVE STOCHASTIC DIFFERENTIAL EQUATIONS DRIVEN BY G-BROWNIAN MOTION

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