研究了一类不确定随机多时滞系统的鲁棒随机稳定性问题,其中系统不确定参数满足线性分式结构。首先,将倒数凸方法加以推广,得到一个新的积分不等式引理;然后,充分考虑时滞区间上下限关系,构造了多时滞区间相关的李雅普诺夫函数,并在新的积分不等式方法下,得到具有更小保守性和较少自由变量的时滞相关稳定性条件;最后,给出一些数值仿真实例,验证了所提方法的有效性。 The problem of robust stochastic stability for a class of uncertain stochastic systems with multiple delays is investigated. The system uncertain parameters satisfy the linear fractional structure. Firstly, the inverse number convex method is generalized to obtain a new lemma of integral inequality. Then, the Lyapunov function with multiple time-lag intervals is constructed by fully considering the upper and lower bounds of interval, and under the new integral inequality method, Time-dependent stability conditions with less conservative and less free variables are obtained. Finally, some numerical examples are given to verify the effectiveness of the proposed method.