A contribution to the study of periodic systems in the behavioral approach

José Carlos Aleixo, Jan Willem Polderman, Paula Rocha

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    In this paper we obtain new results on periodic kernel representations and propose a definition of “image" representation for periodic behaviors. Further, we characterize controllability and autonomicity in representation terms. We also show that the concept of free variable used in the time-invariant case cannot be carried over 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.
    Original languageEnglish
    Title of host publicationTaming Heterogeneity and Complexity of Embedded Control
    EditorsFrançoise Lamnabhi-lagarrigue, Salah Laghrouche, Antonio Loria, Elena Panteley
    PublisherInternational Society for Technology in Education
    Number of pages16
    ISBN (Electronic)978-0-47061-221-7
    ISBN (Print)978-1-90520-965-1
    Publication statusPublished - Jan 2007


    • Periodic systems
    • Behaviors
    • Representations


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