Zero orders and dimensions of some invariant subspaces in linear structured systems (Q1411655)
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scientific article; zbMATH DE number 1998225
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Zero orders and dimensions of some invariant subspaces in linear structured systems |
scientific article; zbMATH DE number 1998225 |
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Zero orders and dimensions of some invariant subspaces in linear structured systems (English)
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29 October 2003
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The paper deals with structured linear systems, represented by means of directed graphs, and its invariants under a large group of transformations including state feedback. The authors focus on a number of fundamental invariants and develop graph-theoretic characterizations for the generic versions of these invariants. They obtain a complete characterization of the zero structure of a structured linear system. The authors also give a graph-theoretic characterization of the generic dimensions of the maximal output-nulling invariant and controllability subspaces.
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linear systems
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invariants
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genericity
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graph theory
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structured systems
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feedback group
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controllability subspace
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zero structure
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output-nulling invariant subspaces
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