Transformation of a PMD into an implicit system using minimal realizations of its transfer function matrix in terms of finite and infinite spectral data
✍ Scribed by G.F. Fragulis
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 682 KB
- Volume
- 333
- Category
- Article
- ISSN
- 0016-0032
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✦ Synopsis
A simple method is given which uses the notions of finite and infinite Jordan pairs from operator theory in such a way to find the minimal realization of the inverse of a polynomial matrix. Specifically, given the finite and infinite Jordan pairs of a polynomial matrix A(s), we shall find a realization Jbr its inverse A -l(s) which in general is a rational matrix. Then a method which finds" the realization of the least possible degree, i.e. the so-called minimal realization of the matrix A -~ (s) is' presented. In the sequel we propose a method which transforms a given Polynomial Matrix Description (PMD) into a generalized state space (implicit) system using the above analysis of minimal realization for the transfer function matrix of the PMD in terms of finite and infinite Jordan pairs.