Control of discrete linear repetitive processes with non-causal dynamics

Repetitive processes propagate information propagation in two independent directions and are of both systems theoretic and applications interest. They cannot be controlled by direct extension of existing techniques from either standard (termed 1D here) or (often) 2D systems theory. In this paper we propose, motivated by critical features in the dynamics of some examples a model which has non-causal elements and then develop new results on the stability and control of examples which it represents.