Controllability, zeros, and filtrations for singular systems

Controllability, zeros, and filtrations for singular systems

The global zero module of a matrix pencil measures controllability and uncontrollability of an associated singular linear system. If the global zero module vanishes, then the polynomial filtration on the Wedderburn-Forney space of the pencil kernel corresponds to the global controllability filtratio...

Ausführliche Beschreibung

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Bibliographische Detailangaben
Hauptverfasser: Schrader, C.B., Wyman, B.F., Giust, S.J.
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Controllability
Filtration
H infinity control
Kernel
Mathematics
Poles and zeros
Polynomials
Transfer functions
Vectors
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Beschreibung
Zusammenfassung:The global zero module of a matrix pencil measures controllability and uncontrollability of an associated singular linear system. If the global zero module vanishes, then the polynomial filtration on the Wedderburn-Forney space of the pencil kernel corresponds to the global controllability filtration of the system. This correspondence gives a new structural interpretation of a matrix pencil's Kronecker indices.
ISSN:0191-2216
DOI:10.1109/CDC.1995.480687