中文摘要：

针对一类不确定变时滞中立型系统，基于Lyapunov稳定性理论，采用线性矩阵不等式（LMI）处理方法，研究了其指数稳定H∞控制问题。对所有参数不确定性和时变时滞性，设计线性无记忆状态反馈控制器，使得闭环系统是指数稳定的且满足给定的日。性能指标。首先讨论无扰动闭环系统的指数稳定性，在此基础上，得到了系统具有H∞性能指标的充分条件。并将其转化为线性矩阵不等式的形式，从而可以很方便地利用Matlab工具箱进行求解。最后给出算例验证结论的有效性。

英文摘要：

Based on the Lyapunov stability theory and the linear matrix inequality （LMI）approach, the problem of the exponentially stable H∞ control for a class of uncertain neutral systems with time-varying delays is considered. The purpose is to design a linear memoryless state feedback controller so that the closed-loop system is exponentially stable and satisfies H∞ performance index for all admissible uncertainties and time-varying delays. The exponential stability of the closed-loop system without disturbance is considered. Based on that, a sufficient condition for the system with H∞ property is obtained and shown by a certain LMI. It can be easily solved by Matlab toolbox. Numerical example shows the effectiveness of the proposed method.