Invariant second order model for descriptor discrete-time linear periodic systems

الملخص EN

This paper c©nsiders the study of first order descriptor discrete-time periodic linear systems, with some regularity conditions.

It is shown that the solutions of the descriptor periodic system are closely related with the solutions of a second order descriptor discrete-time invariant linear system.

Using Graph Theory techniques, the coefficients of the invariant second order model are obtained from the adjacency matrix of the periodic system