Title :
On the equivalence and factorization of multivariate polynomial matrices
Author :
Lin, Zhiping ; Boudellioua, M.S. ; Xu, Li
Author_Institution :
Dept. of Electr. Eng., Nat. Univ. of Singapore
Abstract :
An important concept in multidimensional (nD) systems and signal processing is that of equivalence of systems, which is closely related to equivalence of multivariate (nD) polynomial matrices. By exploiting recent results on nD polynomial matrix factorizations, this paper presents several new results on the reduction by equivalence of a given nD polynomial matrix to a simpler form. In particular, the new results work for both 2D and nD (n > 2) cases. The paper also discusses equivalence of nD polynomial matrices that are not of normal full-rank, which have received little attention in the past
Keywords :
matrix decomposition; multidimensional signal processing; polynomial matrices; multidimensional systems; multivariate polynomial matrices; polynomial matrix factorizations; signal processing; system equivalence; Control systems; Controllability; Multidimensional signal processing; Multidimensional systems; Observability; Polynomials; Process control; Zinc;
Conference_Titel :
Circuits and Systems, 2006. ISCAS 2006. Proceedings. 2006 IEEE International Symposium on
Conference_Location :
Island of Kos
Print_ISBN :
0-7803-9389-9
DOI :
10.1109/ISCAS.2006.1693732