具有马尔科夫切换的随机脉冲时滞系统的均方指数稳定性（英文）

MEAN SQUARE EXPONENTIAL STABILITY OF STOCHASTIC IMPULSIVE TIME DELAY SYSTEMS WITH MARKOVIAN SWITCHING

针对一类具有马尔科夫切换的随机脉冲时滞系统,考虑了均方指数稳定性问题.通过构造新的时变Lyapunov函数,得到了一类新的保证系统均方指数稳定性的条件,并且证明了所得到的条件不仅依赖于脉冲间隔的上界,还依赖于它的下界.和已有的参考文献相比,文章获得的结果具有较低的保守性.最后,利用数值仿真验证了所提方法的有效性.

This paper investigates the mean square exponential stability problem for a class of stochastic impulsive time delay systems with Markovian switching.Through using time varying Lyapunov functions method,new mean square exponential stability conditions are established for stochastic impulsive time delay systems.It is shown that new stability conditions depend both on the lower bound and the upper bound of impulse intervals,which proved to be less conservative than existing literature by using the new Lyapunov functions technique.At last,an example is presented to illustrate the effectiveness of the proposed method.