Improved results on stability of time-delay systems using wirtinger-based inequality

Tae H. Lee, Ju H. Park, H. Y. Jung, O. M. Kwon, S. M. Lee

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

17 Scopus citations

Abstract

This paper concerns with the problem of delay-dependent stability analysis of time-delay systems. By help of Wirtinger based inequality which gives very close estimating bound of Jensen's inequality, an extended inequality is proposed. Using the new inequality and tuning parameters, a generalized criterion for stability of time-delay systems is established. Two numerical examples are given to describe the less conservatism of the proposed methods.

Original languageEnglish
Title of host publication19th IFAC World Congress IFAC 2014, Proceedings
EditorsEdward Boje, Xiaohua Xia
PublisherIFAC Secretariat
Pages6826-6830
Number of pages5
ISBN (Electronic)9783902823625
DOIs
StatePublished - 2014
Event19th IFAC World Congress on International Federation of Automatic Control, IFAC 2014 - Cape Town, South Africa
Duration: 24 Aug 201429 Aug 2014

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Volume19
ISSN (Print)1474-6670

Conference

Conference19th IFAC World Congress on International Federation of Automatic Control, IFAC 2014
Country/TerritorySouth Africa
CityCape Town
Period24/08/1429/08/14

Keywords

  • Lyapunov method
  • Stability
  • Time-delay systems

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