Equivalence and Similarity for Singular 2-D Linear Systems

A system matrix, the input-output equivalence, strict equivalence and similarity are defined for the singular 2-D general model SGM . It is shown that the transfer matrix and the degree of SGM are invariant under the strict equivalence and under the similarity also the characteristic polynomial. A decomposition of a regular SGM into regular and completely singular parts is given. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.