Stability theory for a class of 2D linear systems with dynamic boundary conditions

This paper reports further results on the stability analysis for a class of 2D linear systems, known as discrete linear repetitive processes, in the presence of dynamic boundary conditions. It is known that a correct characterization of stability of such processes is totally dependent on `adequate´ modeling of these conditions. In this paper, a complete characterization of the property known as stability along the pass is obtained in the presence of a general set of dynamic boundary conditions. Computationally feasible stability tests are then developed together with a characterization of the `transient´ behavior of a stable example. Some areas for short to medium term further development are also briefly noted