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本文是文献[1]工作的继续。主要讨论了同时不变子空间的三种特征:即时域特征、频域特征和几何特征。特别对包含在给定子空间H中的最大同时不变子空间给出了新的描述。利用这些结果,文中首先给出了一类离散扰动系统鲁棒干扰解耦问题的充要条件,然后推广到了连续扰动系统,获得了一个Kharitonov型的结果。
This article is the continuation of the literature [1]. This paper mainly discusses three kinds of characteristics of simultaneous invariant subspace: the time domain feature, the frequency domain feature and the geometric feature. In particular, a new description is given for the maximum simultaneous invariant subspace contained in a given subspace H. Using these results, the necessary and sufficient conditions for a robust disturbance decoupling problem for a discrete perturbed system are given first, and then extended to a continuous perturbation system to obtain a Kharitonov-type result.