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Strong system equivalence (I)

Published online by Cambridge University Press:  17 February 2009

B. D. O. Anderson
Affiliation:
Department of Systems Engineering, Research School of Physical Sciences, Australian National University, G.P.O. Box 4, Canberra, A.C.T. 2601.
W. A. Coppel
Affiliation:
Department of Mathematics, Research School of Physical Sciences, Australian National University, G.P.O. Box 4, Canberra, A.C.T. 2601.
D. J. Cullen
Affiliation:
Department of Mathematics, Research School of Physical Sciences, Australian National University, G.P.O. Box 4, Canberra, A.C.T. 2601.
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Abstract

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Strong system equivalence is defined for polynomial realizations of a rational matrix. It is shown that any polynomial realization is strongly system equivalent to a generalized state-space realization, and two generalized state-space realizations are strongly system equivalent if and only if they are constant system equivalent.

Information

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1985