Controllability, autonomicity and free variables in periodic behaviors


Aleixo, José Carlos and Polderman, Jan Willem and Rocha, Paula (2006) Controllability, autonomicity and free variables in periodic behaviors. In: 17th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2006, 24-28 July 2006, Kyoto, Japan (pp. pp. 2513-2523).

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Abstract: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.
Item Type:Conference or Workshop Item
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Metis ID: 237629