Stability and dynamic boundary condition decoupling analysis for a class of 2-D discrete linear systems

Repetitive processes are a distinct class of 2-D systems of both practical and algorithmic interest. The paper gives some important new results on the analysis and control of the sub-class known as discrete linear repetitive processes in the presence of a general set of pass initial conditions, which are termed boundary conditions here. These results consist of stability tests which can be implemented by direct application of standard (or 1-D) linear systems tests and the use of control action to decouple the effects of the boundary conditions.