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Paper details
Number 1 - March 2007
Volume 17 - 2007
Equivalence and reduction of delay-differential systems
Mohamed Salah Boudellioua
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.
Keywords
polynomial matrix description, neutral delay-differential systems, strict system equivalence, determinantal ideals, Gröbner bases