%0 Journal Article
%T Equivalence and Reduction of Delay-Differential Systems
%A Mohamed Salah Boudellioua
%J International Journal of Applied Mathematics and Computer Science
%D 2007
%I 
%R 10.2478/v10006-007-0002-7
%X 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.
%K polynomial matrix description
%K neutral delay-differential systems
%K strict system equivalence
%K determinantal ideals
%K Gr bner bases
%U http://versita.metapress.com/content/g4072m45g12p4572/?p=be7996dea89541d69c254d6a57cb6b42&pi=1