The algebraic structure of delay-differential systems: A behavioral perspective

Heide Gluesing-Luerssen, Paolo Vettori, Sandro Zampieri

Research output: Contribution to journalReview articlepeer-review

9 Scopus citations

Abstract

This paper presents a survey on the recent contributions to linear time-invariant delay-differential systems in the behavioral approach. In this survey both systems with commensurate and with noncommensurate delays will be considered. The emphasis lies on the investigation of the relationship between various systems descriptions. While this can be understood in a completely algebraic setting for systems with commensurate delays, this is not the case for systems with noncommensurate delays. In the study of this class of systems functional analytic methods need to be introduced and general convolutional equations have to be incorporated. Whenever it is possible, the results will be linked to the relevant control theoretic notions.

Original languageEnglish
Pages (from-to)397-426
Number of pages30
JournalKybernetika
Volume37
Issue number4
StatePublished - 2001

ASJC Scopus subject areas

  • Software
  • Control and Systems Engineering
  • Theoretical Computer Science
  • Information Systems
  • Artificial Intelligence
  • Electrical and Electronic Engineering

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