Exponential stability for stochastic differential equation driven by G-Brownian motion

Consider a stochastic differential equation driven by G-Brownian motion dX(t)=AX(t)dt+σ(t,X(t))dBtdX(t)=AX(t)dt+σ(t,X(t))dBt which might be regarded as a stochastic perturbed system of dX(t)=AX(t)dt.dX(t)=AX(t)dt. Suppose the second equation is quasi surely exponentially stable. In this paper, we investigate the sufficient conditions under which the first equation is still quasi surely exponentially stable.