Equivalence and reduction delay-differential systems

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1 Citation (Scopus)

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.

Original languageEnglish
Pages (from-to)15-22
Number of pages8
JournalInternational Journal of Applied Mathematics and Computer Science
Volume17
Issue number1
DOIs
Publication statusPublished - 2007

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Delay-differential Systems
Polynomial Systems
Equivalence
Polynomials
First-order
Transfer functions
Structural properties
Neutral Systems
Direct Method
Control systems
Structural Properties
Transfer Function
Control System
Higher Order
Invariant
Form

Keywords

  • 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

Cite this

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