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.
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BibTeX
@article{DeS:99-07,
author = {De Schutter, Bart},
title = {Minimal State-Space Realization in Linear System Theory: {A}n
Overview},
journal = {Journal of Computational and Applied Mathematics, \normalfont
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}
}