Methods for the discretization of a class of 2D continuous-discrete linear systems

This paper presents methods for constructing discrete approximations to the dynamics of differential linear repetitive processes which are a distinct class of 2D linear systems. Previous work has shown that `classical´ discretization methods, such as the trapezoidal rule, can be adapted for application to differential linear repetitive processes, but only under certain quite restrictive assumptions. This fact is used here as motivation for the development of a new discretization method for these processes. It is demonstrated that this new method gives very good (in a well defined sense) results when compared with alternatives-including higher order single step methods. Some basic properties of these approximations are established and areas for further development briefly noted