In this paper, the disturbance decoupling problem and the model matching problem for discrete-time linear systems with time-varying delays are considered. Solvability of the above problems is characterized by means of structural necessary and sufficient conditions that can be checked by algorithmic procedures. The basic method used to analyze the considered problems consists in representing the discrete-time linear systems with time-varying delays as switching linear systems, whose properties can be studied by a powerful structural approach. In this way, the considered control problems can be reduced to the corresponding problems for switched linear systems, whose solvability has been recently characterized.

本文考虑了具有时变时滞的离散线性系统的干扰解耦问题和模型匹配问题。上述问题的可解决性通过可通过算法程序检查的结构性必要条件和充分条件来表征。分析所考虑问题的基本方法是将具有时变时滞的离散时间线性系统表示为切换线性系统，可以通过强大的结构方法研究其性质。以此方式，可以将所考虑的控制问题减少到用于线性开关系统的相应问题，该线性开关系统的可溶性最近得到了表征。