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    Geometric techniques for implicit two-dimensional systems

    193126_193126.pdf (192.6Kb)
    Access Status
    Open access
    Authors
    Ntogramatzidis, Lorenzo
    Cantoni, Michael
    Date
    2013
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Ntogramatzidis, Lorenzo and Cantoni, Michael. 2013. Geometric techniques for implicit two-dimensional systems. Multidimensional Systems and Signal Processing. 24 (4): pp. 601-620.
    Source Title
    Multidimensional Systems and Signal Processing
    DOI
    10.1007/s11045-012-0205-4
    ISSN
    0923-6082
    Remarks

    The final publication is available at link.springer.com

    URI
    http://hdl.handle.net/20.500.11937/13089
    Collection
    • Curtin Research Publications
    Abstract

    Geometric tools are developed for two-dimensional (2-D) models in an implicitFornasini–Marchesini form. In particular, the structural properties of controlled and conditionedinvariance are defined and studied. These properties are investigated in terms ofquarter-plane causal solutions of the implicit model given compatible boundary conditions.The definitions of controlled and conditioned invariance introduced, along with the correspondingoutput-nulling and input-containing subspaces, are shown to be richer than theone-dimensional counterparts. The analysis carried out in this paper establishes necessaryand sufficient conditions for the solvability of 2-D disturbance decoupling problems andunknown-input observation problems. The conditions obtained are expressed in terms ofoutput-nulling and input-containing subspaces, which can be computed recursively in a finitenumber of steps.

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