中文摘要：

该文主要研究了一类时变时滞系统的时滞领事的稳定性问题。通过构造含有三重积分项的增广Lyapunov-Krasovskii泛函,并结合积分不等式方法,得到了以线性矩阵不等式表示的稳定性判据。最后给出了数值算例,验证了该方法的有效性及具有较小的保守性。

英文摘要：

This paper is concerned with the problem of the delay-dependent stability for systems with timevarying delay in a given interval.By constructing a new type of augmented Lyapunov-Krasovskii functional and using some integral inequalities,a new stability criterion is obtained in terms of a linear matrix inequality.Numerical examples are given to demonstrate the effectiveness and less conservativeness of the proposed methods.