Controllability of 2-D systems

The main purpose of this article is to present a compact review over the existing controllability results mainly for linear standard and singular discrete 2D systems. The majority of the results in this area concerns linear 2D systems with constant coefficients. It should be pointed out that for linear systems controllability conditions have pure algebraic forms and are rather easily computable. These conditions require verification of the rank conditions for suitable defined constant controllability matrices.