As one of the most important topics in control theory, robust stability for the systems plays a key role in many areas of science and industry. This paper discusses the robust stochastic stability a class of multi-group coupled stochastic models with Markovian switching. Based on discrete-time observations in the diffusion part with time-delay, the robust stochastic exponential stability criterion in mean square sense is established in the forms of Lyapunov-type and coefficient-type. An application to the robust stochastic stability for a class of coupled oscillators is proposed.

中文翻译：

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具有马尔可夫切换的多组耦合模型的鲁棒随机稳定性

作为控制理论中最重要的课题之一，系统的鲁棒稳定性在科学和工业的许多领域都发挥着关键作用。本文讨论了一类具有马尔可夫切换的多组耦合随机模型的鲁棒随机稳定性。基于时滞扩散部分的离散时间观测，建立了李雅普诺夫型和系数型均方意义上的鲁棒随机指数稳定性判据。提出了一类耦合振子的鲁棒随机稳定性的应用。