Quasi-sure exponential stabilization of stochastic systems driven by <i>G</i>-Lévy Process with discrete time feedback control

In this paper, we use discrete stochastic feedback control to stabilize an unstable system. We prove that there exists a discrete step size $ \overline{\tau}>0 $ with $ \tau<\overline{\tau} $ such that the responding stochastically controlled system is mean square and quasi-sure exponentially stable. We give an example to show the validity of the control strategy.