The paper focuses on the finite-time stochastic stability (FTSS) problems for positive system with random impulses. Combining Lyapunov functions with the probability property of the impulsive interval, first, the sufficient conditions of FTSS for the positive systems affected by one type of random impulses are given; second, the criteria of FTSS for positive systems suffered from multiple types of random impulses are established. Finally, two examples are presented to show the validity of results.

中文翻译：

---

随机脉冲正系统的有限时间随机稳定性

本文重点研究具有随机脉冲的正系统的有限时间随机稳定性（FTSS）问题。将李雅普诺夫函数与脉冲间隔的概率性质相结合，首先，给出了受一类随机脉冲影响的正系统的FTSS的充分条件。其次，建立了遭受多种类型随机脉冲影响的阳性系统的FTSS准则。最后，给出两个例子来说明结果的有效性。