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...

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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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creator Schrader, C.B.
Wyman, B.F.
Giust, S.J.
description 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.
doi_str_mv 10.1109/CDC.1995.480687
format Conference Proceeding
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source IEEE Electronic Library (IEL) Conference Proceedings
subjects Controllability
Filtration
H infinity control
Kernel
Mathematics
Poles and zeros
Polynomials
Transfer functions
Vectors
title Controllability, zeros, and filtrations for singular systems
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