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本文研究Ito型随机滞后系统的均方稳定性与反馈镇定.文中首先建立了Ito型随机滞后系统的新型稳定性定理,然后采用适当的Lyapunov泛函得到了时滞线性随机系统零解均方渐近稳定的一个充分性判据,该判据适用于完全滞后型的随机系统,据此判据,文中给出了时滞线性随机系统的滞后反馈镇定方法.
In this paper, we study the mean square stability and feedback stabilization of Ito-type stochastic lag systems. In this paper, we first establish a new stability theorem for Ito-type stochastic lag systems, and then use the appropriate Lyapunov functional to obtain a sufficient criterion for the asymptotic stability of the null-solution of a linear stochastic system with time-delay. The criterion applies to complete lag Type stochastic system, according to the criterion, the paper presents a hysteretic feedback stabilization method for linear time-delay stochastic systems.