Title :
On matrix fraction descriptions of multivariable linear n-D systems
fDate :
10/1/1988 12:00:00 AM
Abstract :
An examination is presented of a matrix fraction description (MFD) of multivariable linear n-D (n⩾3) systems. By introducing a concept called generating polynomials, several interesting properties of n-D polynomial and rational matrices in connection with MFDs of n-D have been obtained. These properties do not occur in the 1-D and 2-D cases, which explains to some extent the difficulties encountered in the analysis of n-D systems. As an application of the generating polynomials, a stability test is presented for multivariable linear discrete n-D systems
Keywords :
discrete systems; linear systems; matrix algebra; multidimensional systems; multivariable systems; polynomials; stability; discrete nD systems; generating polynomials; matrix fraction descriptions; multidimensional systems; multivariable linear systems; rational matrices; stability test; Active filters; Algorithm design and analysis; Circuit optimization; Digital filters; Least squares methods; Notice of Violation; Polynomials; Regression analysis; Stability; System testing;
Journal_Title :
Circuits and Systems, IEEE Transactions on
