中文摘要：

在这篇论文，为有变化时间的州的延期的不明确的分离时间的系统的柔韧的 H _∞ 控制问题被考虑。基于 Lyapunov 功能的方法，并且由为估计 Lyapunov 的差别的上面的界限诉诸新技术功能，为一个柔韧的 H _∞ 控制器的存在的一个新不太保守的足够的条件被获得。而且，锥互补 linearisation 过程被采用解决非凸的可行性问题。最后，几个数字例子被举显示出有效性和建议方法的更少的稳当。

英文摘要：

In this paper, the robust H∞ control problem for uncertain discrete-time systems with time-varying state delay is con- sidered. Based on the Lyapunov functional method, and by resorting to the new technique for estimating the upper bound of the difference of the Lyapunov functional, a new less conservative sufficient condition for the existence of a robust H∞ controller is obtained. Moreover, the cone complementary linearisation procedure is employed to solve the nonconvex feasibility problem. Finally, several numerical examples are presented to show the effectiveness and less conservativeness of the proposed method.