与D. Zhao 博士合作的、题为 “Constrained Common Invariant Subspace and Its Application” 的论文已被《IEEE Transactions on Automatic Control》接受发表。该论文摘要如下:

The notion of constrained common invariant subspaces (CCISs) is proposed in this paper, as a generalization of the well-known invariant subspace, to study the structural properties of multiple matrices. Specifically, some necessary and sufficient conditions for the existence of a CCIS are established, which also provide a methodology to compute such a CCIS. Then, the properties of CCISs and their relation to common eigenvectors are revealed. It turns out that the existence of common eigenvectors leads to the existence of CCIS, but not vice versa, so the established CCIS can better reveal the structural properties of multiple matrices than common eigenvectors. The established CCIS is applied to the reducibility of FornasiniMarchesini (F-M) state-space models, i.e., necessary and sufficient conditions and the related algorithm for reducibility of F-M models are developed. Finally, a gain-scheduled state-feedback control is proposed for a rational parameter system to further show the superiority of the established CCIS.