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

José Carlos Aleixo, Jan Willem Polderman, Paula Rocha

    Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

    1 Citation (Scopus)

    Abstract

    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
    Chapter2
    Pages23-38
    Number of pages16
    ISBN (Electronic)978-0-47061-221-7
    ISBN (Print)978-1-90520-965-1
    DOIs
    Publication statusPublished - Jan 2007

    Keywords

    • Periodic systems
    • Behaviors
    • Representations

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  • Cite this

    Aleixo, J. C., Polderman, J. W., & Rocha, P. (2007). A contribution to the study of periodic systems in the behavioral approach. In F. Lamnabhi-lagarrigue, S. Laghrouche, A. Loria, & E. Panteley (Eds.), Taming Heterogeneity and Complexity of Embedded Control (pp. 23-38). International Society for Technology in Education. https://doi.org/10.1002/9780470612217.ch2