Based on the criterion of α-stability for discrete systems with arbitrary time-delay and the H∞ control strategy for discrete systems with time-delay,this paper discusses a problem on the H∞ state feedback control for discrete systems with arbitrary time-delay.The result derived can avoid the confinement of the time-delay constant,and therefore meet the demand of applications.This paper aims at making the control system design closer to the engineering practice.%在离散系统任意时滞α—稳定判据及离散系统时滞状态H∞控制策略的基础上,研究了任意时滞的离散系统H∞状态反馈控制问题,得出的结果避免了对时滞常数的限制,适应了应用中普遍性问题的要求.文章旨在使得控制设计在时滞问题上更接近工程实际
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