New Criteria on Input-to-State Stability for Stochastic Nonlinear Delayed Systems With Multiple Impulses
研究了带多重脉冲的随机非线性时滞系统的p阶矩输入-状态稳定性，提出了稳定化脉冲平均驻留时间和失稳脉冲平均驻留时间概念，放宽了现有结果限制，允许一段时间内多重脉冲累积强度大于1。
This article is committed to investigate the <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">p</i>th moment input-to-state stability for stochastic nonlinear delayed systems involving multiple impulses. Via a series of auxiliary equations, Razumikhin method and stochastic analysis approach, we derive some new stability results under the combination of impulsive control and impulsive disturbance. For all we know, this article is the first attempt to study such a stability issue for the suggested systems. Additionally, the concepts of stabilizing impulse average dwell time (SIADT) and destabilizing impulse average dwell time (DIADT) are proposed, respectively, owing to the presence of multiple impulses. It should also be pointed out that the obtained criteria can loose some restrictions of the existing results and have wider applications. Particularly, we allow the cumulative strength of multiple impulses over a period to be greater than 1, which is more applicable to some extent compared with most of the existing literatures. Finally, the effectiveness and validity of the theory are supported by two examples.