中文摘要：

针对一类带有时滞的范数有界不确定仿射离散系统，采用Lyapunov方法，利用线性矩阵不等式（LMI）和双线性矩阵不等式（BMI）优化技术，给出了相应闭环系统鲁棒稳定性新的判定标准，并且设计出系统稳定的状态反馈鲁棒控制器，给出了算法设计流程，最后通过仿真案例验证了该方法的正确性和有效性．

英文摘要：

Focusing on a class of norm-bounded uncertain affine discrete systems with state delay, based on the Lyapunov method, by utilizing linear matrix inequalities（LMI） and bilinear matrix inequalities （BMI） technique, a delay-independent criteria is proposed to guarantee the asymptotic stability of the closed loop system through designing state feedback controller. Meanwhile, an algorithm is addressed. A numerical example is given to illustrate effectiveness of the proposed theoretical results.