中文摘要：

本文研究了不确定T-S模糊随机时滞系统的时滞相关鲁棒稳定性问题，这里的不确定性是范数有界的。通过构造新的Lyapunov泛函和矩阵不等式引理，利用具有时滞的非线性随机系统的Lypaunov稳定性理论和自由权矩阵方法，导出了使系统鲁棒均方指数稳定的时滞相关线性矩阵不等式（LMI）条件。该判据具有较低的保守性，适用时滞变化率大于1的情形。最后通过数值例子验证了所得结果的有效性。

英文摘要：

This paper deals with the problem of robust stability for uncertain T-S fuzzy stochastic systems with time-varying delay. Parametric uncertainty is assumed to be of normbounded form. By means of creating a new Lyapunov function and matrix lemmas, meanwhile based on Lyapunov stability theorems of nonlinear stochastic systems with time-delays and free weighting matrix approach, some mean square exponential stability conditions with time-delays are deduced for linear matrix inequality （LMI） problems. The presented criteria are more convenient to use and applicable when the derivative of the time delay is greater than 1. Numerical results substantiate the effectiveness of the presented results.