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Structural invariants of generalized state space systems

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3 Author(s)
Misra, P. ; Dept. of Electr. Eng., Wright State Univ., Dayton, OH, USA ; Van Dooren, P. ; Varga, A.

In this paper, we present a state space characterization of the transmission zeros of singular linear multivariable systems that is analogous to that of standard systems. We study the structural invariants of a generalized state space model described by the matrix 5-tuple (E, A, B, C, D), where E may be a singular matrix but det(A-λE)≠0. The characterization of these zeros is based on the system matrix of the corresponding 5-tuple and is an extension of equivalent results for state space models described by the 4-tuples (A, B, C, D).

Published in:

American Control Conference, 1994  (Volume:3 )

Date of Conference:

29 June-1 July 1994