A Calculation of Minimal Basis in Polynomial Vector Space with Applications
Wataru Kase, Katsutoshi TAMURA · Transactions of the Society of Instrument and Control Engineers · 1993
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.