中文摘要：

研究时滞系统的鲁棒方差约束控制问题．针对带有不确定参数和白噪声干扰的离散时滞系统，设计一类反馈控制器，使通过反馈控制所得到的闭环系统不仅一致渐进稳定，而且系统各状态分量的稳态方差在给定约束范围之内．利用线性矩阵不等式的方法，得出了满足这一反馈控制器的充分条件．给出了一个数值算例，验证了所提出算法的有效性．

英文摘要：

This paper deals with the problem of robust variance control design for a class of uncertain discrete time-delay systems. The system under consideration involves state time delay, parameter uncertainties and white noise disturbances. The purpose of this problem is to design a static state feedback controller so that not only is the resulting closed-loop system is asymptotically stable, but the steady-state variance of each state is not morn than the individual pre-speeified value simultaneously. Using the linear matrix inequality approach in this paper, the existence conditions of such controllers are derived. Furthermore, a numerical example is given to illustrate the effectiveness of the proposed approach.