Geodesic
Equivalence and reduction of delay-differential systems
International Journal of Applied Mathematics and Computer Science, Tome 17 (2007) no. 1, pp. 15-22.

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A new direct method is presented which reduces a given high-order representation of a control system with delays to a firstorder 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.
Keywords: polynomial matrix description, neutral delay-differential systems, strict system equivalence, determinantal ideals, Gröbner bases
Mots-clés : opis macierzowy, układ z opóźnieniem, równoważność systemu, bazy Gröbnera 
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Boudellioua, M. S. Equivalence and reduction of delay-differential systems. International Journal of Applied Mathematics and Computer Science, Tome 17 (2007) no. 1, pp. 15-22. http://geodesic.mathdoc.fr/item/IJAMCS_2007_17_1_a1/

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