Multidimensional behaviors: The state-space paradigm

For 11-D systems, the state-space approach has perhaps become the most popular method of analyzing these systems. Central to the idea of the state-space approach is the ability to write the system equations in a first-order form by introducing new variables called the state variables. There have been several attempts to imitate the state-space framework for nn-D systems. Introduction of behavioral theory by Jan C. Willems, has given fresh impetus to this attempt to imitate state-space framework for nn-D systems. In this paper, dedicated to Jan Willems, we provide our recent attempt at obtaining a state-space framework for nn-D systems.