中文摘要：

基于稳定性理论，利用Lyapunov泛函和线性矩阵不等式（LMI）方法，研究了一类带有不确定项时滞系统的指数稳定和鲁棒H∞控制问题，给出了系统指数稳定且具有H∞性能鲁棒稳定性的充分条件，并且基于此条件给出了状态反馈控制器的设计方法．最后，仿真例子说明了该方法的有效性．

英文摘要：

In this paper, the problem of exponential stability and robust H.∞ control for a class of time-delay system with uncertainty has been studied by using Lyapunov functional method. Based on linear matrix inequality（LMI）, the sufficient criteria are proposed which assures the system exponential stability as well as has H∞-norm bound, and the state feedback controllers are also designed. Finally one example is given to show the validity of the proposed approach.