Discrete linear repetitive processes with smoothing

Repetitive processes are a distinct class of two-dimensional (2D) systems (i.e. information propagation in two independent directions occurs) 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 continue the development of a control systems theory for discrete linear repetitive processes with inter-pass smoothing which is required to represent dynamics which arise in some applications areas but are not included in the models previously considered. The new results are on the stability analysis and the design of control laws for stabilization, including the case when there is uncertainty associated with the defining state-space model.