Sampled-data stabilization for a kind of stochastic nonlinear systems driven by G-Brownian motion

Abstract

In this paper, we analyzed the mean-square exponential stability of controlled stochastic differential equations driven by G-Brownian motion(G-SDEs) based on their approximate discrete-time models. Firstly, Euler-Maruyama(EM) approximation model is established for such systems. Meanwhile, we investigated the one-step consistency between exact discrete-time model and EM approximation model of the original system. Then, the stability relationship between the EM approximation model and its exact model is studied. Finally, a numerical simulation is presented to verify the effect of our results.