Aleixo, Jose Carlos (Univ. of Beira Interior), Polderman, Jan Willem (Univ. of Twente), Rocha, Paula (Univ. of Aveiro)

Controllability, autonomicity and free variables in periodic behaviors

Scheduled for presentation during the Mini-Symposium "Behavioral systems theory" (FrA11), Friday, July 28, 2006, 11:40−12:05, Room 104a

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on April 24, 2024

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.