In this article, we extend the stability results of cascaded closed-loop predictors for deterministic systems to stochastic linear systems with additive noise and arbitrarily large time-varying input delay, under suitable hypothesis on the delay function. We propose an output-feedback controller design based on a set of differential delay equations with size depending on the delay bound and we show that it ensures exponential stability in mean and mean square stability of the controlled system. The result is extended to multiple delays on separate input signals and to systems with arbitrarily large output delays.

中文翻译：

---

具有大 I/O 延迟的线性随机系统的基于预测器的输出反馈控制


在本文中，我们在延迟函数的适当假设下，将确定性系统的级联闭环预测器的稳定性结果扩展到具有加性噪声和任意大时变输入延迟的随机线性系统。我们提出了一种基于一组微分延迟方程的输出反馈控制器设计，其大小取决于延迟界限，并且我们证明它确保了受控系统的均值和均方稳定性的指数稳定性。结果扩展到单独输入信号的多个延迟以及具有任意大输出延迟的系统。