Digraph characterization of structural controllability for linear descriptor systems

For linear descriptor systems of the form E x ̇ = Ax + Bu , the different kinds of controllability are analyzed by graph-theoretic means. Starting from known algebraic criteria, digraph conditions for structural r-controllability, structural impulse controllability, and structural complete controlla...

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Bibliographic Details
Published in:Linear algebra and its applications 1997-11, Vol.266, p.199-217
Main Authors: Reinschke, Kurt J., Wiedemann, Gunter
Format: Article
Language:English
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Summary:For linear descriptor systems of the form E x ̇ = Ax + Bu , the different kinds of controllability are analyzed by graph-theoretic means. Starting from known algebraic criteria, digraph conditions for structural r-controllability, structural impulse controllability, and structural complete controllability are derived. A nontrivial electrical example system illustrates the application of the results.
ISSN:0024-3795
1873-1856
DOI:10.1016/S0024-3795(97)86521-4