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中文摘要：
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．
英文摘要：
The idea of free-weighting matrices was extended to a class of stochastic systems with time-varying delays, and the de- lay-dependent stability of the stochastic systems was studied. By establishing a new Lyapunov function and introducing appropriate free-weighting matrices, a sufficient delay-dependent condition was proposed for the asymptotic stability of such a system. The result was in the form of linear matrix inequalities completely and model transformation was unnecessary. Two examples were given to illus- trate the effectiveness of the proposed method.
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