In this paper, we deal with a class of stochastic reaction–diffusion systems driven by G-Brownian motion (G-SRDSs, in short). The criterions on quasi-surely exponential stability and finite-time stability for G-SRDSs are established based on G-Lyapunov functional method. Examples are given to verify the theoretical results.

中文翻译：

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G-布朗运动驱动的随机反应扩散系统的稳定性

在本文中，我们处理了一类由G -Brownian 运动驱动的随机反应扩散系统（简称G -SRDSs）。基于G -Lyapunov泛函方法，建立了G -SRDS的准指数稳定性和有限时间稳定性判据。给出了实例来验证理论结果。