Controllability, autonomicity and free variables in periodic behaviors
José Carlos Brandi Aleixo, Jan Willem Polderman, Paula Sabrina Martins Gomes da Rocha · University of Twente Research Information · 2006
In this paper we propose a new type of "image" representation for periodic behaviors and analyze the relationship between image representability and controllability, showing that the correspondence which exists in the time invariant case, generalizes to periodic behaviors. We also show that the concept of free variable used in the time-invariant case cannot be transposed to the periodic case in a straightforward manner and introduce a new concept of variable freeness (P-periodic freeness). This allows us to define input/output structures for periodic behaviors.