Structural Invariants of Implicit Two-Dimensional Systems

Ntogramatzidis, Lorenzo; Cantoni, M.

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Authors

Ntogramatzidis, Lorenzo

Cantoni, M.

Date

2011

Type

Conference Paper

Metadata

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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.