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    Structural Invariants of Implicit Two-Dimensional Systems

    Access Status
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    Authors
    Ntogramatzidis, Lorenzo
    Cantoni, M.
    Date
    2011
    Type
    Conference Paper
    
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    Citation
    Ntogramatzidis, Lorenzo and Cantoni, Michael. 2011. Structural Invariants of Implicit Two-Dimensional Systems, in 7th International Workshop on Multidimensional (nD) Systems, Sep 5 2011. Poitiers, France: University of Poitiers.
    Source Title
    Proceedings of the 7th International Workshop on Multidimensional (nD) System
    Source Conference
    7th International Workshop on Multidimensional (nD) Systems
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/16637
    Collection
    • Curtin Research Publications
    Abstract

    Fundamental structural properties are identified for a class of implicit two-dimensional (2-D) system models with a form that is closed under static local-state feedback and output-injection transformations. The structural properties are investigated in terms of quater-plane causal solutions given compatible boundary conditions, controlled and conditioned invariants, and the corresponding output-nulling and input-containing subspaces. As is well known, such concepts play an important role in systems theory and in the solution of several control and estimation problems.

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