To stabilize a nonlinear system \(dx(t)=f(t,x(t))\,dt\), we stochastically perturb the deterministic model by using two types of aperiodic intermittent stochastic noise driven by G-Brownian motion. We demonstrate quasi-sure exponential stability for the perturbed system and give the convergence rate, which is related to the control intensity. An application to SIS epidemic model is presented to confirm the theoretical results.

中文翻译：

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由G-布朗运动驱动的非周期性间歇性随机噪声对非线性系统的稳定及其在流行病模型中的应用

为了稳定非线性系统\（dx（t）= f（t，x（t））\，dt \），我们通过使用两种由G-布朗运动驱动的非周期性间歇随机噪声来随机扰动确定性模型。我们证明了扰动系统的准保证指数稳定性，并给出了收敛速度，该收敛速度与控制强度有关。提出了在SIS流行病模型中的应用以证实理论结果。