Stabilization of Stochastic Differential Equations Driven by G-Brownian Motion with Aperiodically Intermittent Control

The paper is devoted to studying the exponential stability of a mild solution of stochastic differential equations driven by G-Brownian motion with an aperiodically intermittent control. The aperiodically intermittent control is added into the drift coefficients, when intermittent intervals and coefficients satisfy suitable conditions; by use of the G-Lyapunov function, the p-th exponential stability is obtained. Finally, an example is given to illustrate the availability of the obtained results.

Automated summary

This paper investigates the exponential stability of a mild solution of stochastic differential equations driven by G-Brownian motion with aperiodically intermittent control. The addition of aperiodically intermittent control into the drift coefficients leads to the achievement of p-th exponential stability under suitable conditions. An example provided in the paper illustrates the effectiveness of the obtained results.