Controllability, zeros, and filtrations for singular systems
Cheryl B. Schrader, Bostwick F. Wyman, S.J. Giust · 2002
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.