摘要: |
针对脉冲随机微分系统中可能同时含有控制和扰动两种不同作用的脉冲效应,且脉冲的类型和强弱随时间的推移而改变;提出了时变脉冲条件下,随机时滞微分系统的指数稳定性;借助比较定理的方法,针对控制脉冲与扰动脉冲分别给出了平均脉冲区间的上界与下界,从而导出了脉冲随机时滞微分系统指数稳定的充分条件。 |
关键词: 时变脉冲 随机时滞微分系统 指数稳定性 |
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The Exponential Stability of Stochastic Delayed Differential Systems with Time varying Impulses |
LI Ning ning, WU Xiao tai
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Abstract: |
For impulsive stochastic differential systems,there may be two impulsive effects of control and disturbance at the same time,namely the type and strength of impulses change with time,the exponential stability of stochastic delay differential systems under time varying impulsive conditions is proposed.Based on the comparison principle,the upper bounds and lower bounds of the average impulsive interval are obtained respectively to characterize the control impulses and the disturbance impulses,thus the sufficient conditions are derived for exponential stability of impulsive stochastic delay differential systems. |
Key words: time varying impulses stochastic delayed differential systems exponential stability |