In this paper, some novel stochastic finite time stability (SFTS) criteria are derived for impulsive switched stochastic nonlinear systems (ISSNS) by using stochastic process theory, multiple Lyapunov functions, analytical techniques. Moreover, the estimations of stochastic settling time (SST) are also provided. Under the influence of destabilizing and stabilizing impulses, we consider situations where the subsystems are fully stable, the subsystems may be fully unstable, and some subsystems are stable while others are unstable, respectively. The conclusion reveals the relationship among the initial value, impulsive switching strength factors, impulsive switching time and SST. Finally, two numerical examples are provided to illustrate our conclusion.

中文翻译：

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脉冲切换随机非线性系统的随机有限时间稳定性新准则


本文利用随机过程论、多个 Lyapunov 函数、分析技术，为脉冲切换随机非线性系统 （ISSNS） 推导了一些新颖的随机有限时间稳定性 （SFTS） 准则。此外，还提供了随机稳定时间 （SST） 的估计。在不稳定和稳定冲动的影响下，我们分别考虑了子系统完全稳定、子系统可能完全不稳定、一些子系统稳定而另一些子系统不稳定的情况。结论揭示了初始值、脉冲开关强度因子、脉冲开关时间和 SST 之间的关系。最后，提供了两个数值示例来说明我们的结论。