Structure indices for multidimensional systems
J Wood · IMA Journal of Mathematical Control and Information · 2000
The structure indices of a one-dimensional system are an important set of invariants. In this paper we examine a generalization of this concept to multidimensional linear systems, which corresponds to the algebraic concept of a Hilbert series. We use the standard theory of the Hilbert series to explain some of the previous ID system-theoretic results. We discuss the computation of nD structure indices from an initial condition set, and the invariants which can be derived from these indices.