Title :
On minor prime factorizations for n-D polynomial matrices
Author :
Lin, Zhiping ; Xu, Li ; Fan, Huijin
Author_Institution :
Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore
Abstract :
A tractable criterion is presented for the existence of minor prime factorizations for a class of multidimensional (n-D) (n>2) polynomial matrices whose reduced minors and greatest common divisors have some common zeros. We also present a constructive method for carrying out the minor prime factorizations when they exist. The proposed method is further extended to a larger class of n-D polynomial matrices by an invertible variable transformation. Three illustrative examples are given to show the effectiveness of the proposed method.
Keywords :
matrix decomposition; poles and zeros; polynomial matrices; multidimensional system; n-D polynomial matrices; prime factorization; Circuits; Control systems; Helium; Information systems; Materials requirements planning; Multidimensional signal processing; Multidimensional systems; Polynomials; Process control; Signal resolution; Matrix factorizations; minor primeness; multidimensional (; reduced minors;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2005.850516