Equivalence and reduction delay-differential systems

Mohamed Salah Boudellioua*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


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.

Original languageEnglish
Pages (from-to)15-22
Number of pages8
JournalInternational Journal of Applied Mathematics and Computer Science
Issue number1
Publication statusPublished - 2007


  • Determinantal ideals
  • Gröbner bases
  • Neutral delay-differential systems
  • Polynomial matrix description
  • Strict system equivalence

ASJC Scopus subject areas

  • Computer Science (miscellaneous)
  • Engineering (miscellaneous)
  • Applied Mathematics


Dive into the research topics of 'Equivalence and reduction delay-differential systems'. Together they form a unique fingerprint.

Cite this