Asymptotical boundedness and stability for stochastic differential equations with delay driven by G-Brownian motion

The purpose of this paper is to discuss a class of stochastic differential equations with delay driven by G-Brownian motion (G-SDDEs, in short). The asymptotical boundedness and exponential stability of the equations are obtained by means of G-Lyapunov function. An example is proposed to illustrate the theory obtained.