Equivalence and Reduction of Delay-Differential Systems

Mohamed Boudellioua

doi:10.2478/v10006-007-0002-7

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Equivalence and Reduction of Delay-Differential Systems

International Journal of Applied Mathematics and Computer Science

Volume 17 (2007): Issue 1 (March 2007)

By: Mohamed Boudellioua

Open Access

|Apr 2007

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.

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