Stabilizing effect of delay distribution on second-order scalar delay equations

Gábor Kiss*, Bernd Krauskopf

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

In this paper we investigate the effect of delay distribution on a type of second-order scalar delay differential equation. More specifically, we compare the stability region of the equations with one and two delays. Our findings indicate an increase in the stability region when the delay distribution satisfies certain conditions. We use these ideas to argue for considering the computational time delay as a stabilizing factor in hybrid testing.

Original languageEnglish
Title of host publication8th IFAC Workshop on Time-Delay Systems, TDS'09 - Proceedings
Pages152-155
Number of pages4
EditionPART 1
Publication statusPublished - 01 Dec 2009
Externally publishedYes
Event8th IFAC Workshop on Time-Delay Systems, TDS'09 - Sinaia, Romania
Duration: 01 Sep 200903 Sep 2009

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
NumberPART 1
Volume8
ISSN (Print)1474-6670

Conference

Conference8th IFAC Workshop on Time-Delay Systems, TDS'09
Country/TerritoryRomania
CitySinaia
Period01/09/200903/09/2009

Keywords

  • Asymptotic stability
  • Delay
  • Delay distribution
  • Differential equation
  • Linear system

ASJC Scopus subject areas

  • Control and Systems Engineering

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