Discrete time feedback control for stochastic systems driven by G-Lévy Process

In this paper, we provide the sufficient conditions of mean square and quasi-sure exponential stability of stochastic differential equations driven by G -Lévy process based on discrete-time feedback observations. We design a discrete-time feedback control in the drift part and prove the stability by adopting a comparative method rather than the Lyapunov arguments. An example is provided to show the validity of the control strategy.