<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

Equivalence and Reduction of Delay-Differential Systems

Department of Mathematics and Statistics, Sultan Qaboos University, PO Box 36 Al-Khodh, 123, Muscat, Oman, boudell@squ.edu.om

International Journal of Applied Mathematics and Computer Science

{"article-title":"Equivalence and Reduction of Delay-Differential Systems"}

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...

Equivalence and Reduction of Delay-Differential Systems

Published Online: Apr 05, 2007

Page range: 15 - 22

DOI: https://doi.org/10.2478/v10006-007-0002-7

Keywords
polynomial matrix description, neutral delay-differential systems, strict system equivalence, determinantal ideals, Gröbner bases

This content is open access.

Equivalence and Reduction of Delay-Differential Systems

Published Online: Apr 05, 2007

Page range: 15 - 22

DOI: https://doi.org/10.2478/v10006-007-0002-7

Keywordspolynomial matrix description, neutral delay-differential systems, strict system equivalence, determinantal ideals, Gröbner bases

This content is open access.

Keywords
polynomial matrix description, neutral delay-differential systems, strict system equivalence, determinantal ideals, Gröbner bases