Delay dependent stability analysis of interval time-delay systems

Wenjuan Jiang, Alexandre Kruszewski, Emilia Fridman, Jean Pierre Richard

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This paper considers interval time-varying delay systems. The time-delay interval is divided into several zones and the systems switch among the different zones. Based on Lyapunov- Krasovskii functional methods and linear matrix inequality (LMI) techniques, Exponential stability is exploited for every time-delay zone. The global stability of the switched system is guaranteed if some minimum average dwell time conditions are satisfied. Some numerical examples and comparisons with other works show that the methods greatly enlarge the value of maximum upper-bound of time-delay for the systems.

Original languageEnglish
Title of host publication9th IFAC Workshop on Time Delay Systems, TDS 2010 - Proceedings
PublisherIFAC Secretariat
Pages313-318
Number of pages6
EditionPART 1
ISBN (Print)9783902661715
DOIs
StatePublished - 2010
Event9th IFAC Workshop on Time Delay Systems, TDS 2010 - Prague, Czech Republic
Duration: 7 Jun 20109 Jun 2010

Publication series

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

Conference

Conference9th IFAC Workshop on Time Delay Systems, TDS 2010
Country/TerritoryCzech Republic
CityPrague
Period7/06/109/06/10

Keywords

  • Exponential stability
  • LMI
  • Lyapunov-krasovskii functional
  • Switching systems
  • Time-varying delay

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