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A new robust delay-dependent stability criterion for a class of uncertain systems with delay

  • Fei Hao*
  • , Long Wang
  • , Tianguang Chu
  • *Corresponding author for this work
  • Peking University

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

Abstract

A new robust delay-dependent stability criterion for a class of uncertain systems with delay is established based-on Park inequality. The result for robust delay-dependent stability is presented in terms of linear matrix inequalities (LMIs) by using Lyapunov-Krasovskii functional method. By this result, we give an estimate of the maximum admissible delay, which can be transformed into a generalized eigenvalue problem. Furthermore, a mixed delay stability criterion for this class of uncertain systems with multi-delays is obtained. Finally, two numerical examples are also worked out to illustrate the efficiency and feasibility of the present result.

Original languageEnglish
Title of host publicationProceedings of the 2004 American Control Conference (AAC)
Pages5433-5437
Number of pages5
DOIs
StatePublished - 2004
Externally publishedYes
EventProceedings of the 2004 American Control Conference (AAC) - Boston, MA, United States
Duration: 30 Jun 20042 Jul 2004

Publication series

NameProceedings of the American Control Conference
Volume6
ISSN (Print)0743-1619

Conference

ConferenceProceedings of the 2004 American Control Conference (AAC)
Country/TerritoryUnited States
CityBoston, MA
Period30/06/042/07/04

Keywords

  • Delay systems
  • Linear matrix inequality (LMI)
  • Robust stability
  • Uncertainty

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