1D Equivalent Model and Related Approaches to the Analysis of Discrete Non-unit Memory Linear Repetitive Processes

Description/Abstract

Discrete linear repetitive processes are a distinct class of 2D linear systems with applications in areas ranging from long-wall coal cutting through to iterative learning control schemes. In this paper, a 1D linear systems equivalent state space model description of the dynamics of so-called discrete non-unit memory linear repetitive processes is developed and used (with related approaches) to characterize key systems theoretic properties.\\ \noindent {\bf Keywords:} 2D linear systems, repetitive dynamics, stability, 1D equivalent model, controllability, non-unit memory processes.