**Reference:**

B. De Schutter,
"Minimal state-space realization in linear system theory: An
overview," *Journal of Computational and Applied Mathematics, *
Special Issue on Numerical Analysis in the 20th Century - Vol. I:
Approximation Theory, vol. 121, no. 1-2, pp. 331-354, Sept. 2000.

**Abstract:**

We give a survey of the results in connection with the minimal state
space realization problem for linear time-invariant systems. We start
with a brief historical overview and a short introduction to linear
system theory. Next we present some of the basic algorithms for the
reduction of non-minimal state space realizations and for the minimal
state space realization of infinite or finite sequences of Markov
parameters of linear time-invariant systems. Finally we discuss some
extensions of this problem to other classes of systems and point out
some related problems.

Online version of the paper

Corresponding technical report: pdf file (263 KB)

@article{DeS:99-07,

author={B. {D}e Schutter},

title={Minimal state-space realization in linear system theory: An overview},

journal={Journal of Computational and Applied Mathematics, \rm Special Issue on Numerical Analysis in the 20th Century -- Vol.\ I: Approximation Theory},

volume={121},

number={1--2},

pages={331--354},

month=sep,

year={2000},

doi={10.1016/S0377-0427(00)00341-1}

}

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