Reference
R. de Vries, B. De Schutter, and B. De Moor, "Minimal realizations and state
space transformations in the symmetrized max-algebra," Tech. report 97-84,
ESAT-SISTA, K.U.Leuven, Leuven, Belgium, 21 pp., Dec. 1997.
Abstract
Similarity transformations between two different minimal realizations of a
given impulse response of a discrete event system are discussed. In the
symmetrized max-algebra an explicit expression can be given for the
transformation between an arbitrary minimal realization of a given impulse
response and a minimal realization of the same impulse response in a standard
form. It is conjectured that a more general result holds which gives a
transformation matrix between any two minimal realizations of an impulse
response. We will illustrate the difficulties encountered when trying to prove
this conjecture.
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BibTeX
@techreport{deVDeS:97-84,
author = {de Vries, Remco and De Schutter, Bart and De Moor, Bart},
title = {Minimal Realizations and State Space Transformations in the
Symmetrized Max-Algebra},
number = {97-84},
institution = {ESAT-SISTA, K.U.Leuven},
address = {Leuven, Belgium},
month = dec,
year = {1997}
}