Symbolic implementation of the new elementary operation approach for MIMO multidimensional realization

This paper extends the symbolic implementation of the new elementary operation approach (NEOA) to the multi-input and multi-output (MIMO) multidimensional (n-D) case, which is applicable to the causal transfer matrix with symbolic as well as numerical coefficients. Compared with the existing LFR Toolbox, the new developed package can generate the Roesser state-space model with a lower order, and the construction is direct without any pre- or post-processing. Moreover, the new version package supports the new symbolic engine MuPAD, which has been integrated in MATLAB since version 7.7. Symbolic examples will be given to illustrate effectiveness and facilities of the developed package.