The quantized feedback stabilization problem is investigated for nonlinear hybrid stochastic time-delay systems with discrete-time observation in this article. A quantized discrete-time observation feedback controller is designed. The designed controller can make the H∞ stability and mean-square sense of the controlled system. Particularly, this note is the first to develop the stability criteria, which is not only related to the duration between two successive observations but also links to time lag of the system. By utilizing the Lyapunov method and inequality scaling techniques, the estimates for the duration and the time delay of the system are gained, respectively. Some case simulations are also provided to testify the proposed method and demonstrate its power.

中文翻译：

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具有离散时间观测的非线性混合随机时滞系统的量化反馈稳定。

本文研究了具有离散时间观测的非线性混合随机时滞系统的量化反馈镇定问题。设计了一种量化的离散时间观测反馈控制器。所设计的控制器能够使被控系统具有H∞稳定性和均方意义。特别是，这篇文章是第一个制定稳定性标准的，它不仅与两次连续观察之间的持续时间有关，而且还与系统的时间滞后有关。利用李亚普诺夫方法和不等式缩放技术，分别获得了系统持续时间和时延的估计值。还提供了一些案例模拟来验证所提出的方法并展示其功能。