This article investigates the stability of stochastic neutral delayed systems (SNDS) with delayed impulses, which includes the stability in input-to-state exponentially stable in th moment (-ISES), integral ISES in th moment (-iISES) and -weighted ISES in th moment (--ISES). Compared with the existing works, we allow the neutral term, delayed impulses, time-varying coefficients in the diffusion condition, bounded time-varying delay (BTVD) to be in a stochastic system, which arise the difficulty. By utilizing the techniques of Lyapunov-Krasovskii (L-K) function, generalized delay integral inequality and average impulsive interval (AII), some desired results are obtained by surmounting the underlying difficulty. Finally, an example is given to show the validity of our work.

中文翻译：

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具有延迟脉冲的中性随机时变系统的稳定性分析


本文研究了带有延迟脉冲的随机中性延迟系统（SNDS）的稳定性，包括输入状态指数稳定时刻的稳定性（-ISES）、时刻积分ISES（-iISES）和加权ISES的稳定性在这一刻（--ISES）。与现有工作相比，我们允许中性项、延迟脉冲、扩散条件下的时变系数、有界时变延迟（BTVD）处于随机系统中，这带来了困难。利用Lyapunov-Krasovskii (L-K)函数、广义时滞积分不等式和平均脉冲间隔(AII)技术，克服了潜在的困难，得到了一些预期的结果。最后，给出一个例子来证明我们工作的有效性。