This paper aims to determine whether or not a periodic stochastic feedback control can stabilize or destabilize a given nonlinear hybrid system. New methods are developed and sufficient conditions on the stability and instability for hybrid nonlinear systems with periodic stochastic perturbations are provided. These results are then used to examine stabilization and destabilization by periodic stochastic feedback controls, including intermittent stochastic controls.

中文翻译：

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通过周期性随机控制使混合系统稳定和不稳定

本文旨在确定周期性随机反馈控制是否可以使给定的非线性混合系统稳定或不稳定。提出了新的方法，并为具有周期随机扰动的混合非线性系统的稳定性和不稳定性提供了充分的条件。然后，将这些结果用于通过周期性随机反馈控制（包括间歇性随机控制）来检查稳定和不稳定。