Structural invariants of two-dimensional systems
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Open access
Authors
Ntogramatzidis, Lorenzo
Date
2012Type
Journal Article
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Ntogramatzidis, Lorenzo. 2012. Structural invariants of two-dimensional systems. SIAM Journal on Control and Optimisation. 50 (1): pp. 334-356.
Source Title
SIAM Journal on Control and Optimisation
ISSN
School
Department of Mathematics and Statistics
Remarks
© 2012 Society for Industrial and Applied Mathematics
Collection
Abstract
In this paper, some fundamental structural properties of two-dimensional (2-D) systems which remain invariant under feedback and output-injection transformation groups are identified and investigated for the first time. As is well known, structural invariants that follow from the definition of controlled and conditioned invariance, output-nulling, input-containing, self-bounded and self-hidden subspaces play pivotal roles in many theoretical studies of systems theory and in the solution of several control/estimation problems. These concepts are developed and studied within a 2-D context in this paper.
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