1993 年 29 巻 11 号 p. 1276-1282
Given a transfer function matrix N(s)D-1(s), the problem discussed in this paper is to find an orthogonal matrix pair [N(s)-D(s)] to [DT(s) NT (s)]T. A calculation method of the orthogonal pair is presented where only elementary real matrices operation needs. It is shown that an annihilating matrix of an observability matrix of N(s)D-1(s) provides the orthogonal pair. Some related problems in linear system theory are also discussed.