Causal Input/Output Representation of 2D Systems in the Behavioral Approach

Abstract

In this paper the concept of causal input/output representation of two-dimensional (2D) systems in the behavioral approach is introduced. These representations provide an interesting connection between classical 2D systems theory and 2D systems theory in the behavioral approach. Some characterizations of such representations are presented. Finally, a technique that allows us to obtain causal input/output representations is proposed.