On matrix fraction descriptions of multivariable linear n-D systems

An examination is presented of a matrix fraction description (MFD) of multivariable linear n-D (n>or=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.<
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