A new direct method is presented which reduces a given high-order representation of a control system with delays to a first-order form that is encountered in the study of neutral delay-differential systems. Using the polynomial system description (PMD) setting due to Rosenbrock, it is shown that the transformation connecting the original PMD with the first-order form is Fuhrmann's strict system equivalence. This type of system equivalence leaves the transfer function and other relevant structural properties of the original system invariant.
@article{bwmeta1.element.bwnjournal-article-amcv17i1p15bwm,
author = {Boudellioua, Mohamed},
title = {Equivalence and reduction of delay-differential systems},
journal = {International Journal of Applied Mathematics and Computer Science},
volume = {17},
year = {2007},
pages = {15-22},
zbl = {1122.93019},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv17i1p15bwm}
}
Boudellioua, Mohamed. Equivalence and reduction of delay-differential systems. International Journal of Applied Mathematics and Computer Science, Tome 17 (2007) pp. 15-22. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv17i1p15bwm/
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