Abstract This note studies global fixed-time stabilization for switched stochastic nonlinear systems under rational switching powers. With the aid of stochastic fixed-time stability theorem, a new control approach is presented to ensure that the system state globally reaches zero almost surely in fixed time independent of initial conditions. The developed scheme is used to controller design of the liquid-level system.

中文翻译：

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有理开关功率下开关随机非线性系统的全局固定时间镇定

摘要 本笔记研究了在有理开关功率下开关随机非线性系统的全局固定时间镇定。借助随机固定时间稳定性定理，提出了一种新的控制方法，以确保系统状态在固定时间内几乎可以肯定地达到零，而与初始条件无关。所开发的方案用于液位系统的控制器设计。