考虑 T-S 模糊随机时延系统稳定性问题。首先，考虑系统时延的随机时变特性，通过等价变换建立随机变量依赖的等价新系统模型。基于建立的新系统模型，构造能利用系统隶属度函数、随机时延和其导数信息的李雅普诺夫泛函，采用模糊互逆凸积分不等式估计李雅普诺夫泛函求导后出现的二次型积分项，进而，提出新的隶属度函数和时延函数导数依赖的系统稳定性判据。该判据适用于系统随机时延函数变化率已知和未知两种情形，且都能容许较大的时延上界，即具有较小的保守性。最后，通过两个通用数例验证所提稳定性判据的有效性。

The stability problem of T-S fuzzy systems with random time-varying delay is investigated in this article. First, a new random variable dependent system model is established by considering the stochastic time-varying characteristics of time-varying delay, and the original systems can be implied by it. Based on the new system model, a suitable Lyapunov functional is constructed that can utilize the information of membership function, random time-varying delay and its derivative. The fuzzy reciprocally convex integral inequality is used to estimate the quadratic integral term from the derivative of the Lyapunov functional, and a new membership function and derivative of delay function dependent system stability criterion is proposed. For both known and unknown cases of system random time-varying delay function, the obtained stability criterion is applicable, and has less conservatism. Finally, the effectiveness of the proposed stability criterion is verified through two numerical examples.