带有时变时滞不确定随机系统的稳定性分析

Stability Analysis for Uncertain Stochastic Time-Delay Systems

该文主要研究了一类具有时变时滞的不确定随机系统的鲁棒稳定性问题。首先,利用更一般的时滞分解方法构造了新的Lyapunov-Krasovskii泛函,然后基于Lyapunov稳定性理论,并结合It微分公式和Jensen不等式技巧,得到系统的鲁棒随机稳定的充分条件。最后给出了数值实例,验证了所得结果的有效性。

This paper considers the problems of robust stability analysis for a class of uncertain stochastic time-delay systems.By using a more general delay decomposition method to construct the new Lyapunov-Krasovskii functional,applying the Lyapunov stability theory,and combining with the It differential formula and Jensen in-equality techniques,we get the robust stochastic stability conditions of the system.Finally,the numerical example is provided to demonstrate the effectiveness of the result obtained.