Roesser model realization of MIMO n-D systems by elementary operations

This paper considers the Roesser state-space model realization problem for a multidimensional (n-D) system by using elementary operations. The new elementary operation approach proposed recently by the authors for the the single-input and single-output (SISO) case will be generalized to the multi- input and multi-output (MIMO) case. Specifically, the realization problem is first formulated as an elementary operation problem of some rc-D polynomial matrix. Then, a general constructive realization procedure is established based on a right matrix fraction description of the given transfer matrix, which guarantees a regular realization and can be easily implemented by a computer program. An example is given to illustrate the details and effectiveness of the proposed approach.