Matrix fractions and strict system equivalence
- 1 November 1981
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 34 (5) , 869-883
- https://doi.org/10.1080/00207178108922568
Abstract
Unimodular equivalence (UE) is defined for matrix fraction decompositions (MFDs). It is shown that if an MFD is regarded as a quadruple {D(s), N(s(, I. ()}, then uni-modular equivalence and (Fuhrmann) strict system equivalence coincide. It is thus established that UE for MFDs and system similarity for state-space representations are exact counterparts. A brief discussion on extended unimodular equivalence (EUE) of polynomial matrices is included and a short polynomial matrix proof that the invariant factors of the Smith form are preserved under EUE is given.Keywords
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