Minimal State-Space Realization in Linear System Theory: An Overview

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 entry

@article{DeS:99-07,
author={B. {D}e Schutter},
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},
doi={10.1016/S0377-0427(00)00341-1}
}

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