具马尔可夫切换和多个时滞脉冲的随机系统的稳定性  

Stability of Stochastic Systems with Markov Switching and Several Delayed Impulses

作　　者：赵海清 潘立军 ZHAO Haiqing;PAN Lijun(School of Mathematics and Statistics,Lingnan Normal University,Zhanjiang,524048,China)

机构地区：[1]岭南师范学院数学与统计学院,湛江524048

出　　处：《应用概率统计》2021年第2期181-191,共11页Chinese Journal of Applied Probability and Statistics

基　　金：广东省科技计划项目(批准号:2017A030303085)和岭南师范学院人才专项项目(批准号:ZL2037)资助.

摘　　要：本文研究了具马尔可夫切换和多个时滞脉冲的随机系统p阶矩指数稳定,状态变量的脉冲增益依赖于多个有限时变时滞.利用随机分析和脉冲技巧,得到系统新的稳定性准则,并举例说明结果的有效性.In this paper,pth moment exponential stability of stochastic systems with Markov switching and serval delayed impulses is investigated.It is assume that the state variables on the impulses may relate to the time-varying delays.By using stochastic analysis and impulsive techniques,serval new stability criteria are derived.Meanwhile,an example is provided to demonstrate the effectiveness of the obtained results.

关 键 词：马尔可夫链 随机系统 时滞 脉冲 

分 类 号：O211.63[理学—概率论与数理统计]