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Equivalence and reduction of delay-differential systems

Boudellioua M. S.

International Journal of Applied Mathematics and Computer Science

2007

Vol. 17, no 1

15-22

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.