State-Space Realization of Periodic i/o Behaviors
José Carlos Brandi Aleixo, Paula Sabrina Martins Gomes da Rocha · IEEE Transactions on Automatic Control · 2020
This article addresses the realization of linear periodic input/output (i/o) behaviors. Given a periodic behavior, we obtain its lifted time-invariant version, and construct a behavioral time-invariant (state-space) realization of the lifted behavior. Finally, we recover a periodic (state-space) realization of the periodic behavior based on the obtained time-invariant realization.