Mean-Square Finite-Time Stability and Stabilization of Impulsive Stochastic Distributed Parameter Systems
针对带脉冲效应的随机分布参数系统，采用两种准周期李雅普诺夫函数方法推导出均方有限时间稳定性判据，并设计了常增益输入控制器同时镇定系统的连续和离散部分。
The study focuses on finite-time stability (FTS) and stabilization problems in a class of stochastic distributed parameter systems with impulsive effects. To tackle the impulsive effects within the system, we adopt two key methods: 1) a looped form quasi-periodic Lyapunov function and 2) an interpolation quasi-periodic Lyapunov function method. This combined approach allows us to obtain a detailed mean-square FTS criterion, closely related to the specific dwell time of the impulse sequence in the system. Moreover, a finite-time input controller featuring a constant gain is designed to simultaneously stabilize both the continuous and discrete components of the controlled system. Finally, we present two numerical examples to demonstrate the validity of our outcomes.