将自由权矩阵思想推广到一类时滞随机系统中,研究了其时滞相关稳定性问题.通过构造新的Lyapunov函数,引入适当的自由权矩阵,推导出系统渐近稳定的时滞相关的充分条件.所得结果完全基于线性矩阵不等式的形式给出,不需要对原系统模型进行变换.数值算例说明了方法的可行性. The matrix of free weights is extended to a class of stochastic systems with time delays and the stability problems of time-delay are studied. By constructing a new Lyapunov function and introducing the appropriate free-weight matrix, the asymptotically stable delay- The sufficient conditions are obtained.The results are based on the linear matrix inequality completely, and do not need to transform the original system model.Numerical examples illustrate the feasibility of the method.