Stability and stabilisation of acausal discrete linear repetitive processes

Repetitive processes are a distinct class of two-dimensional systems (i.e. information propagation in two independent directions occurs) of both systems theoretic and applications interest. In this paper we introduce a new model for these processes in order to represent dynamics which arise in some applications areas and which are not included in those currently available. Then we proceed to define quadratic stability for this case, obtain conditions for its existence, and also use feedback control to solve a stabilization problem