AN ALGORITHM FOR INVERTING RATIONAL MATRICES

Authors
LIN CA YANG CW HSIEH TF
Citation
Ca. Lin et al., AN ALGORITHM FOR INVERTING RATIONAL MATRICES, Systems & control letters, 27(1), 1996, pp. 47-53
Citations number
16
Categorie Soggetti
Controlo Theory & Cybernetics","System Science","Operatione Research & Management Science
Journal title
Systems & control letters → ACNP
ISSN journal
01676911
Volume
27
Issue
1
Year of publication
1996
Pages
47 - 53
Database
ISI
SICI code
0167-6911(1996)27:1<47:AAFIRM>2.0.ZU;2-4
Abstract
We propose an algorithm for computing the inverses of rational matrice s and in particular the inverses of polynomial matrices. The algorithm is based on minimal state space realizations of proper rational matri ces and the matrix inverse lemma and is implemented as a MATLAB functi on. Experiments show that the algorithm gives accurate results for typ ical rational matrices that arise in analysis and design of linear mul tivariable control systems. Illustrative examples are given.