针对一类带有参数不确定性的线性时滞系统,研究其时滞依赖稳定性问题。采用改进的Lyapunov-Krasovskii泛函方法给出了线性时滞系统基于线性矩阵不等式的时滞依赖稳定的充分条件,在定理的证明中结合牛顿公式改进了一系列二次型积分不等式,从而有效降低了定理保守性。最后给出2个计算实例,通过与现有方法的比较可以看出本文方法的更加有效,且得到的最大时滞具有更小的保守性。 For a class of linear time-delay systems with parameter uncertainty, the delay-dependent stability problems are studied. The sufficient conditions for delay-dependent stability of linear time-delay systems based on linear matrix inequalities are given by using the improved Lyapunov-Krasovskii functional approach. In the proof of theorems, a series of quadratic integral inequalities are improved by using Newton’s formula, The theorem is conservative. Finally, two examples are given. Compared with the existing methods, we can see that the proposed method is more efficient and the maximum delay obtained is less conservative.