A behavioural approach to the pole/zero structure of nD linear systems

There are a great many problems in generalizing classical 1D systems theory to multidimensional (nD) systems, i.e. systems which propagate information in two or more separate directions. Recent years have seen the emergence of the so-called behavioural approach to systems theory which holds the promise of providing for the first time a framework in which all the important concepts of systems theory for nD systems can be expressed. This paper reports further development based on this general approach in the context of the pole/zero structure of an nD linear system.