@misc{Boudellioua_Mohamed_Salah_Equivalence, author={Boudellioua, Mohamed Salah}, howpublished={online}, publisher={Zielona Góra: Uniwersytet Zielonogórski}, language={eng}, abstract={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.}, type={artykuł}, title={Equivalence and reduction of delay-differential systems}, keywords={polynomial matrix description, neutral delay-differential systems, strict system equivalence, determinantal ideals, Gröbner bases}, }