Title :
The simplified derivation of the completion theorem to a unimodular matrix over R[zl, z2]
Author :
Zak, S. ; Lee, E.
Author_Institution :
Purdue University, West Lafayette, IN, USA
fDate :
2/1/1985 12:00:00 AM
Abstract :
As indicated in a previous paper, there is a need for a simple constructive proof of the completion theorem of a 2-D unimodular matrix. The proof provided here is based on the concept of coprimeness of 2-D polynomial matrices and the 2-D version of the matrix fraction description (MFD) of a 2-D transfer function matrix as investigated by Morf et al. [6] and Youla and Gnavi [5].
Keywords :
Polynomial matrices; Controllability; Delay systems; Observability; Polynomials; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1985.1103895