**Reference:**

R. de Vries,
B. De Schutter, and
B. De Moor,
"Minimal realizations and state space transformations in the
symmetrized max-algebra," Tech. rep. 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.

Technical report: pdf file (169 KB)

@techreport{deVDeS:97-84,

author={R. de Vries and B. {D}e Schutter and B. {D}e Moor},

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}

}

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